RB Yadav

@cus.ac.in

Guest Faculty, Department of Mathematics
Sikkim University



                 

https://researchid.co/rbyadav

RESEARCH INTERESTS

Topology, Algebraic Deformation Theory

7

Scopus Publications

37

Scholar Citations

3

Scholar h-index

2

Scholar i10-index

Scopus Publications

  • Cohomology and deformation of an associative superalgebra
    Raj Bhawan Yadav and
    Luhansk Taras Shevchenko National University
    In this paper we generalize to associative superalgebras Gerstenhaber's work on cohomology structure of an associative algebra. We introduce formal deformation theory of associative superalgebras.

  • Equivariant one-parameter deformations of associative algebra morphisms
    Raj Bhawan Yadav
    Institute of Mathematics, Czech Academy of Sciences
    In this article, we introduce equivariant formal deformation theory of associative algebra morphisms. We introduce an equivariant deformation cohomology of associative algebra morphisms and using this we study the equivariant formal deformation theory of associative algebra morphisms.

  • CONFORMAL RIEMANNIAN MORPHISMS BETWEEN RIEMANNIAN MANIFOLDS
    R. B. Yadav and Srikanth V. Kuppum
    Informatics Publishing Limited
    In this article we introduce conformal Riemannian morphisms. The idea of conformal Riemannian morphism generalizes the notions of isometric immersions, Riemannian submersions, Riemannian maps and conformal Riemannian maps.

  • Equivariant one-parameter deformations of Lie triple systems
    R.B. Yadav, Namita Behera, and Rinkila Bhutia
    Elsevier BV

  • Equivariant one-parameter deformations of associative algebras
    Goutam Mukherjee and Raj Bhawan Yadav
    World Scientific Pub Co Pte Lt
    We introduce an equivariant version of Hochschild cohomology as the deformation cohomology to study equivariant deformations of associative algebras equipped with finite group actions.

  • On some categories of riemannian manifolds
    R. B. Yadav

    In this article we introduce two categories of Riemannian manifolds. We also study some properties of such categories and compare them with the previously known categories.

  • On an extension of the Stone-Weierstrass theorem


RECENT SCHOLAR PUBLICATIONS

  • Equivariant one-parameter deformations of associative algebra morphisms
    RB Yadav
    Czechoslovak Mathematical Journal 73 (3), 675-694 2023

  • Cohomology and deformation of compatible Hom-Leibniz algebras
    R Bhutia, RB Yadav, N Behera
    arXiv preprint arXiv:2308.02411 2023

  • Cohomology and deformations of compatible Leibniz algebras
    RB Yadav, R Bhutia, N Behera
    arXiv preprint arXiv:2306.06105 2023

  • Cohomology and deformations of associative superalgebras
    RB Yadav
    Algebra and Discrete Mathematics 2023

  • Maurer-Cartan characterization, cohomology and deformations of equivariant Lie superalgebras
    RB Yadav, S Mukhopadhyay
    arXiv preprint arXiv:2301.01270 2022

  • Equivariant cohomology, deformations and central extension of Hom Lie triple systems
    R Bhutia, RB Yadav, N Behera
    arXiv preprint arXiv:2203.07409 2022

  • Conformal Riemannian morphisms between Riemannian manifolds
    RB Yadav, S KV
    Journal of the Indian Mathematical Society 2022

  • Cohomology and Deformation of Leibniz Superalgebras
    RB Yadav
    arXiv preprint arXiv:2101.07652 2021

  • Equivariant one-parameter deformations of Lie triple systems
    RB Yadav, N Behera, R Bhutia
    Journal of Algebra 2020

  • Cohomology and Deformations of n-Hom-Liebniz algebra morphisms
    RB Yadav
    arXiv preprint arXiv:1911.11595 2019

  • On some categories of Riemannian Manifolds
    RB Yadav
    Journal of The Indian Mathematical Society 2019

  • Cohomology and deformations of module homorphisms
    RB Yadav, L Chen, Y Ma, Y Hou
    arXiv preprint arXiv:1811.02431 2018

  • Formal one-parameter deformations of module homorphisms
    RB Yadav
    arXiv preprint arXiv:1811.02431 2018

  • On study of a metric on C (S^ 1; S^ 1)
    RB Yadav, S KV
    arXiv preprint arXiv:1810.02686 2018

  • Equivariant one-parameter deformations of associative algebras
    G Mukherjee, RB Yadav
    Journal of algebra and its applications 2018

  • On an extension of the Stone-Weierstrass theorem
    KV Srikanth, R Bhawan Yadav
    Mathematical Communications 19 (2), 391-396 2014

  • Decomposition of invertible and conformal transformations
    KV Srikanth, RB Yadav
    arXiv preprint arXiv:1309.5805 2013

MOST CITED SCHOLAR PUBLICATIONS

  • Equivariant one-parameter deformations of Lie triple systems
    RB Yadav, N Behera, R Bhutia
    Journal of Algebra 2020
    Citations: 15

  • Equivariant one-parameter deformations of associative algebras
    G Mukherjee, RB Yadav
    Journal of algebra and its applications 2018
    Citations: 11

  • Cohomology and deformation of compatible Hom-Leibniz algebras
    R Bhutia, RB Yadav, N Behera
    arXiv preprint arXiv:2308.02411 2023
    Citations: 3

  • Cohomology and deformations of compatible Leibniz algebras
    RB Yadav, R Bhutia, N Behera
    arXiv preprint arXiv:2306.06105 2023
    Citations: 2

  • On an extension of the Stone-Weierstrass theorem
    KV Srikanth, R Bhawan Yadav
    Mathematical Communications 19 (2), 391-396 2014
    Citations: 2

  • Cohomology and deformations of associative superalgebras
    RB Yadav
    Algebra and Discrete Mathematics 2023
    Citations: 1

  • Conformal Riemannian morphisms between Riemannian manifolds
    RB Yadav, S KV
    Journal of the Indian Mathematical Society 2022
    Citations: 1

  • Cohomology and deformations of module homorphisms
    RB Yadav, L Chen, Y Ma, Y Hou
    arXiv preprint arXiv:1811.02431 2018
    Citations: 1

  • Decomposition of invertible and conformal transformations
    KV Srikanth, RB Yadav
    arXiv preprint arXiv:1309.5805 2013
    Citations: 1

Publications

Publications:
1. R.B. Yadav, Equivariant one-parameter deformations of associative algebra morphisms,
Czechoslovak Mathematical Journal, 2022 (accepted).
2. R. B. Yadav, Srikanth K. V., On conformal Riemannian morphisms between Riemannian
manifolds, "Journal of Indian Mathematical Society", No. (3-4),
2022, 431-445.
3. R. B. Yadav, Namita Behera, Rinkila Bhutia, Equivariant one-parameter deformations
of Lie triple systems, Journal of algebra , Volume 568, 15 February 2021, Pages
467-479 ,
4. Goutam Mukherjee, Raj Bhawan Yadav, Equivariant one-parameter deformations of
associative algebras,Journal of Algebra and its applications, Vol. 19, No. 6 (2020)
2050114 (18 pages), .
5. R. B. Yadav, On some categories of Riemannian manifolds, "Journal of Indian
Mathematical Society", Vol. 86, , January 2019, 199-210.
6. Srikanth K. V., Raj Bhawan Yadav, On an extension of the Stone-Weierstrass
Theorem, "Mathematical Communications", Vol. 19 No. 2 December 2014.