@cus.ac.in
Guest Faculty, Department of Mathematics
Sikkim University
Topology, Algebraic Deformation Theory
Scopus Publications
Scholar Citations
Scholar h-index
Scholar i10-index
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.
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.
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.
R.B. Yadav, Namita Behera, and Rinkila Bhutia
Elsevier BV
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.
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.
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.