Stanley Orlando Juriaans
@ime.usp.br
Associate professor of IME-USP
University of São Paulo
From Suriname and living for over 30 years in Brazil
EDUCATION
Ph.D. in Mathematics
RESEARCH, TEACHING, or OTHER INTERESTS
Mathematics
FUTURE PROJECTS
Generalized QM
Applying generalized function theory to QM
Applications Invited
collaborators
42
Scopus Publications
689
Scholar Citations
15
Scholar h-index
21
Scholar i10-index
Scopus Publications
- Off-diagonal condition
W. Rodrigues, A. R. G. Garcia, S. O. Juriaans, and J. C. Silva
Monatshefte fur Mathematik Springer Science and Business Media LLC - A nonlinear theory of generalized functions
A. R. G. Garcia, S. O. Juriaans, J. Oliveira, and W. M. Rodrigues
Sao Paulo Journal of Mathematical Sciences Springer Science and Business Media LLC - Multiplication of Distributions and Nonperturbative Calculations of Transition Probabilities
J. F. Colombeau, J. Aragona, P. Catuogno, S. O. Juriaans, and C. Olivera
Springer Singapore - Dirichlet-Ford domains and Double Dirichlet domains
E. Jespers, S. O. Juriaans, A. Kiefer, A. de A. e Silva, and A. C. Souza Filho
The Belgian Mathematical Society
We continue investigations started by Lakeland on Fuchsian and Kleinian groups which have a Dirichlet fundamental domain that also is a Ford domain in the upper half-space model of hyperbolic $2$- and $3$-space, or which have a Dirichlet domain with multiple centers. Such domains are called DF-domains and Double Dirichlet domains respectively. Making use of earlier obtained concrete formulas for the bisectors defining the Dirichlet domain of center $i \\in \\HQ^2$ or center $j \\in \\HQ^3$, we obtain a simple condition on the matrix entries of the side-pairing transformations of the fundamental domain of a Fuchsian or Kleinian group to be a DF-domain. Using the same methods, we also complement a result of Lakeland stating that a cofinite Fuchsian group has a DF domain (or a Dirichlet domain with multiple centers) if and only if it is an index $2$ subgroup of the discrete group G of reflections in a hyperbolic polygon. - Multiplication of distributions in mathematical physics
J. Aragona, P. Catuogno, J. F. Colombeau, S. O. Juriaans, and Ch. Olivera
Springer Singapore - The origin of felsic microgranitoid enclaves: Insights from plagioclase crystal size distributions and thermodynamic models
Adriana Alves, Giovanna de Souza Pereira, Valdecir de Assis Janasi, Michael Higgins, Liza Angelica Polo, Orlando Stanley Juriaans, and Bruno Vieira Ribeiro
Elsevier BV - Traces of Torsion Units
S. O. Juriaans, A. De A. E Silva, and A. C. Souza Filho
Informa UK Limited
A conjecture due to Zassenhaus asserts that if G is a finite group then any torsion unit in ℤG is conjugate in ℚG to an element of G. Here, a weaker form of this conjecture is proved for some infinite groups. - Locally convex topological algebras of generalized functions: Compactness and nuclearity in a nonlinear context
J. Aragona, S. O. Juriaans, and J. F. Colombeau
American Mathematical Society (AMS)
In this paper we introduce Hausdorff locally convex algebra topologies on subalgebras of the whole algebra of nonlinear generalized functions. These topologies are strong duals of Frechet-Schwartz space topologies and even strong duals of nuclear Frechet space topologies. In particular any bounded set is relatively compact and one benefits from all deep properties of nuclearity. These algebras of generalized functions contain most of the classical irregular functions and distributions. They are obtained by replacing the mathematical tool of C∞ functions in the original version of nonlinear generalized functions by the far more evolved tool of holomorphic functions. This paper continues the nonlinear theory of generalized functions in which such locally convex topological properties were strongly lacking up to now. - From the Poincaré theorem to generators of the unit group of integral group rings of finite groups
E. Jespers, S. O. Juriaans, A. Kiefer, A. de A. e Silva, and A. C. Souza Filho
American Mathematical Society (AMS)
We give an algorithm to determine finitely many generators for a subgroup of finite index in the unit group of an integral group ring $\\mathbb{Z} G$ of a finite nilpotent group $G$, this provided the rational group algebra $\\mathbb{Q} G$ does not have simple components that are division classical quaternion algebras or two-by-two matrices over a classical quaternion algebra with centre $\\mathbb{Q}$. The main difficulty is to deal with orders in quaternion algebras over the rationals or a quadratic imaginary extension of the rationals. In order to deal with these we give a finite and easy implementable algorithm to compute a fundamental domain in the hyperbolic three space $\\mathbb{H}^3$ (respectively hyperbolic two space $\\mathbb{H}^2$) for a discrete subgroup of ${\\rm PSL}_2(\\mathbb{C})$ (respectively ${\\rm PSL}_2(\\mathbb{R})$) of finite covolume. Our results on group rings are a continuation of earlier work of Ritter and Sehgal, Jespers and Leal. - Nonlinear generalized functions and jump conditions for a standard one pressure liquid-gas model
J. Aragona, J.F. Colombeau, and S.O. Juriaans
Elsevier BV - Algebraic theory of Colombeau's generalized numbers
J. Aragona, A.R.G. Garcia, and S.O. Juriaans
Elsevier BV - Free groups in quaternion algebras
S.O. Juriaans and A.C. Souza Filho
Elsevier BV - Extension of automorphisms of subgroups
G. G. BASTOS, E. JESPERS, S. O. JURIAANS, and A. DE A. E SILVA
Cambridge University Press (CUP)
AbstractLet G be a group such that, for any subgroup H of G, every automorphism of H can be extended to an automorphism of G. Such a group G is said to be of injective type. The finite abelian groups of injective type are precisely the quasi-injective groups. We prove that a finite non-abelian group G of injective type has even order. If, furthermore, G is also quasi-injective, then we prove that G = K × B, with B a quasi-injective abelian group of odd order and either K = Q8 (the quaternion group of order 8) or K = Dih(A), a dihedral group on a quasi-injective abelian group A of odd order coprime with the order of B. We give a description of the supersoluble finite groups of injective type whose Sylow 2-subgroup are abelian showing that these groups are, in general, not quasi-injective. In particular, the characterisation of such groups is reduced to that of finite 2-groups that are of injective type. We give several restrictions on the latter. We also show that the alternating group A5 is of injective type but that the binary icosahedral group SL(2, 5) is not. - Differential calculus and integration of generalized functions over membranes
Jorge Aragona, Roseli Fernandez, Stanley O. Juriaans, and Michael Oberguggenberger
Springer Science and Business Media LLC - Hyperbolicity of semigroup algebras II
E. IWAKI, E. JESPERS, S. O. JURIAANS, and A. C. SOUZA FILHO
World Scientific Pub Co Pte Lt
In 1996, Jespers and Wang classified finite semigroups whose integral semigroup ring has finitely many units. In a recent paper, Iwaki–Juriaans–Souza Filho continued this line of research by partially classifying the finite semigroups whose rational semigroup algebra contains a ℤ-order with hyperbolic unit group. In this paper, we complete this classification and give an easy proof that deals with all finite semigroups. - On groups whose maximal cyclic subgroups are maximal
S. O. Juriaans and J. R. Rogério
World Scientific Pub Co Pte Lt
We consider the problem of classifying those groups whose maximal cyclic subgroups are maximal. We give a complete classification of those groups with this property and which are either soluble or residually finite. - Generalized solutions of a nonlinear parabolic equation with generalized functions as initial data
Jorge Aragona, Antônio Ronaldo Gomes Garcia, and Stanley Orlando Juriaans
Elsevier BV - Natural topologies on colombeau algebras
Jorge Aragona, Roseli Fernandez, and Stanley O. Juriaans
Uniwersytet Mikolaja Kopernika/Nicolaus Copernicus University
We define intrinsic, natural and metrizable topologies ${\\mathcal T}_{\\Omega}$, ${\\mathcal T}$, ${\\mathcal T}_{s,\\Omega}$ and ${\\mathcal T}_s$ in ${\\mathcal G}(\\Omega)$, $\\OK$, ${\\mathcal G}_s(\\Omega)$ and $\\OK_s$, respectively. The topology ${\\mathcal T}_{\\Omega}$ induces ${\\mathcal T}$, ${\\mathcal T}_{s,\\Omega}$ and ${\\mathcal T}_s$. The topologies ${\\mathcal T}_{s,\\Omega}$ and ${\\mathcal T}_s$ coincide with the Scarpalezos sharp topologies. - Hyperbolic unit groups and quaternion algebras
S. O. Juriaans, I. B. S. Passi, and A. C. Souza Filho
Springer Science and Business Media LLC - Algebraic and geometric theory of the topological ring of Colombeau generalized functions
J. Aragona, S. O. Juriaans, O. R. B. Oliveira, and D. Scarpalezos
Cambridge University Press (CUP)
AbstractWe continue the investigation of the algebraic and topological structure of the algebra of Colombeau generalized functions with the aim of building up the algebraic basis for the theory of these functions. This was started in a previous work of Aragona and Juriaans, where the algebraic and topological structure of the Colombeau generalized numbers were studied. Here, among other important things, we determine completely the minimal primes of and introduce several invariants of the ideals of (Ω). The main tools we use are the algebraic results obtained by Aragona and Juriaans and the theory of differential calculus on generalized manifolds developed by Aragona and co-workers. The main achievement of the differential calculus is that all classical objects, such as distributions, become C∞-functions. Our purpose is to build an independent and intrinsic theory for Colombeau generalized functions and place them in a wider context. - Hyperbolicity of semigroup algebras
E. Iwaki, S.O. Juriaans, and A.C. Souza Filho
Elsevier BV - Hypercentral unit groups and the hyperbolicity of a modular group algebra
E. Iwaki and S. O. Juriaans
Informa UK Limited
We classify groups G such that the unit group 𝒰 1(ℤ G) is hypercentral. In the second part, we classify groups G whose modular group algebra has hyperbolic unit groups 𝒰 1(KG). - On hypercentral units in integral group rings
Martin Hertweck, E Iwaki, Eric Jespers, and S. O Juriaans
Walter de Gruyter GmbH
Abstract For an arbitrary group G, and a G-adapted ring R (for example, R = ℤ), let 𝒰 be the group of units of the group ring RG, and let Z∞(𝒰) denote the union of the terms of the upper central series of 𝒰, the elements of which are called hypercentral units. It is shown that Z∞(𝒰) ⩽ (G). As a consequence, hypercentral units commute with all unipotent elements, and if G has non-normal finite subgroups with R(G) denoting their intersection, then [𝒰,Z∞(𝒰)] ⩽ R(G). Further consequences are given as well as concrete examples. - Polynomial identities of RA and RA2 loop algebras
I. R. Hentzel, S. O. Juriaans, and L. A. Peresi
Informa UK Limited
Let F be an algebraically closed field of characteristic zero and L an RA loop. We prove that the loop algebra FL is in the variety generated by the split Cayley–Dickson algebra Z F over F. For RA2 loops of type M(Dih(A), −1,g 0), we prove that the loop algebra is in the variety generated by the algebra 𝒜 3 which is a noncommutative simple component of the loop algebra of a certain RA2 loop of order 16. The same does not hold for the RA2 loops of type M(G, −1,g 0), where G is a non-Abelian group of exponent 4 having exactly 2 squares. - The sharp topology on the full Colombeau algebra of generalized functions
J. Aragona, R. Fernandez, and S. O. Juriaans
Informa UK Limited
In this paper, we define natural and intrinsic metrizable topologies ℑΩ, ℑ s, Ω, ℑ and ℑ s on 𝒢(Ω), 𝒢 s (Ω), and , respectively. This allows us to speak of approximation and convergence in these algebras. The topologies induced by ℑΩ on 𝒢 s (Ω) and by ℑ on coincide with Scarpalezos's sharp topologies.
RECENT SCHOLAR PUBLICATIONS
- Generalized Differential Geometry
SO Juriaans, PC Queiroz
arXiv preprint arXiv:2309.07239 2023 - Transition Probabilities and Almost Periodic Functions
SO Juriaans, PC Queiroz
arXiv preprint arXiv:2305.08862 2023 - Generalized geometry and transition probabilities
SO JURIAANS, PC QUEIROZ
Anais do XVI ENAMA, 29 2023 - On geometrically uniform codes and topological quantum MDS codes
VL Vieira, OS Juriaans
Journal of Mathematical Physics 63 (9) 2022 - Off-diagonal condition
W Rodrigues, ARG Garcia, SO Juriaans, JC Silva
Monatshefte fr Mathematik 198 (2), 465-482 2022 - Fixed Point Theorems for Hypersequences and the Foundation of Generalized Differential Geometry I: The Simplified Algebra
SO Juriaans, J Oliveira
arXiv preprint arXiv:2205.00114 2022 - A nonlinear theory of generalized functions
ARG Garcia, SO Juriaans, J Oliveira, WM Rodrigues
So Paulo Journal of Mathematical Sciences, 1-10 2021 - Multiplication of Distributions and Nonperturbative Calculations of Transition Probabilities
J Aragona, P Catuogno, JF Colombeau, SO Juriaans, C Olivera
arXiv preprint arXiv:1801.03527 2018 - Multiplication of distributions and nonperturbative calculations of transition probabilities
JF Colombeau, J Aragona, P Catuogno, SO Juriaans, C Olivera
Quantum Theory and Symmetries with Lie Theory and Its Applications in 2018 - Dirichlet-Ford domains and Double Dirichlet domains
E Jespers, SO Juriaans, A Kiefer, AA e Silva, AC Souza Filho
Bulletin of the Belgian Mathematical Society-Simon Stevin 23 (3), 465-479 2016 - Multiplication of distributions in mathematical physics
J Aragona, P Catuogno, JF Colombeau, SO Juriaans, C Olivera
Lie Theory and Its Applications in Physics: Varna, Bulgaria, June 2015 11 2016 - The origin of felsic microgranitoid enclaves: Insights from plagioclase crystal size distributions and thermodynamic models
A Alves, G de Souza Pereira, V de Assis Janasi, M Higgins, LA Polo, ...
Lithos 239, 33-44 2015 - Traces of Torsion Units
SO Juriaans, A De A. E Silva, AC Souza Filho
Communications in Algebra 43 (9), 3925-3933 2015 - Locally convex topological algebras of generalized functions: compactness and nuclearity in a nonlinear context
J Aragona, S Juriaans, J Colombeau
Transactions of the American Mathematical Society 367 (8), 5399-5414 2015 - From the Poincar theorem to generators of the unit group of integral group rings of finite groups
E Jespers, S Juriaans, A Kiefer, A de A e Silva, A Souza Filho
Mathematics of Computation 84 (293), 1489-1520 2015 - Nonlinear generalized functions and jump conditions for a standard one pressure liquid–gas model
J Aragona, JF Colombeau, SO Juriaans
Journal of Mathematical analysis and Applications 418 (2), 964-977 2014 - Algebraic theory of Colombeauʼs generalized numbers
J Aragona, ARG Garcia, SO Juriaans
Journal of Algebra 384, 194-211 2013 - Free groups in quaternion algebras
SO Juriaans, AC Souza Filho
Journal of Algebra 379, 314-321 2013 - Poincar\'e Bisectors in Hyperbolic Spaces
A Kiefer, SO Juriaans, E Jespers, ADAE Silva
2012 - A Note on Discrete Groups
SO Juriaans, SCL Neto, AAE Silva
arXiv preprint arXiv:1205.1129 2012
MOST CITED SCHOLAR PUBLICATIONS
- A discontinuous Colombeau differential calculus
J Aragona, R Fernandez, SO Juriaans
Monatshefte fr Mathematik 144, 13-29 2005
Citations: 57 - Some structural properties of the topological ring of Colombeau's generalized numbers
J Aragona, SO Juriaans
Taylor & Francis Group 29 (5), 2201-2230 2001
Citations: 54 - Algebraic and geometric theory of the topological ring of Colombeau generalized functions
J Aragona, SO Juriaans, ORB Oliveira, D Scarpalezos
Proceedings of the Edinburgh Mathematical Society 51 (3), 545-564 2008
Citations: 47 - Finite subgroups in integral group rings
MA Dokuchaev, SO Juriaans
Canadian Journal of Mathematics 48 (6), 1170-1179 1996
Citations: 43 - Natural topologies on Colombeau algebras
J Aragona, R Fernandez, SO Juriaans
2009
Citations: 35 - Differential calculus and integration of generalized functions over membranes
J Aragona, R Fernandez, SO Juriaans, M Oberguggenberger
Monatshefte fr Mathematik 166, 1-18 2012
Citations: 33 - Automorphisms of finite groups
SO Juriaans, JM De Miranda, JR Robrio
Communications in Algebra 32 (5), 1705-1714 2004
Citations: 33 - Integral group rings of Frobenius groups and the conjectures of HJ Zassenhaus
MA Dokuchaev, SO Juriaans, C Polcino Milies
Communications in Algebra 25 (7), 2311-2325 1997
Citations: 29 - On the normalizer problem
E Jespers, SO Juriaans, JM De Miranda, JR Rogrio
Journal of Algebra 247 (1), 24-36 2002
Citations: 26 - Hyperbolic unit groups
S Juriaans, I Passi, D Prasad
Proceedings of the American Mathematical Society 133 (2), 415-423 2005
Citations: 24 - Generalized solutions of a nonlinear parabolic equation with generalized functions as initial data
J Aragona, ARG Garcia, SO Juriaans
Nonlinear Analysis: Theory, Methods & Applications 71 (11), 5187-5207 2009
Citations: 21 - Algebraic theory of Colombeauʼs generalized numbers
J Aragona, ARG Garcia, SO Juriaans
Journal of Algebra 384, 194-211 2013
Citations: 18 - The sharp topology on the full Colombeau algebra of generalized functions
J Aragona, R Fernandez, SO Juriaans
Integral Transforms and Special Functions 17 (2-3), 165-170 2006
Citations: 18 - Units of integral group rings of Frobenius groups
CP Milies, SO Juriaans
Walter de Gruyter GmbH & Co. KG 3 (3), 277-284 2000
Citations: 18 - Nonlinear generalized functions and jump conditions for a standard one pressure liquid–gas model
J Aragona, JF Colombeau, SO Juriaans
Journal of Mathematical analysis and Applications 418 (2), 964-977 2014
Citations: 16 - Hyperbolic unit groups and quaternion algebras
SO Juriaans, IBS Passi, AC Souza Filho
Proceedings-Mathematical Sciences 119 (1), 9-22 2009
Citations: 14 - On hypercentral units in integral group rings
M Hertweck, E Iwaki, E Jespers, SO Juriaans
De Gruyter 10 (4), 477-504 2007
Citations: 14 - Isomorphisms of integral group rings of infinite groups
E Jespers, SO Juriaans
Journal of Algebra 223 (1), 171-189 2000
Citations: 14 - The origin of felsic microgranitoid enclaves: Insights from plagioclase crystal size distributions and thermodynamic models
A Alves, G de Souza Pereira, V de Assis Janasi, M Higgins, LA Polo, ...
Lithos 239, 33-44 2015
Citations: 13 - From the Poincar theorem to generators of the unit group of integral group rings of finite groups
E Jespers, S Juriaans, A Kiefer, A de A e Silva, A Souza Filho
Mathematics of Computation 84 (293), 1489-1520 2015
Citations: 12