15 citations · 44 across the 11 of their papers we have counts for
15 papers
Automorphisms of extensions of Lie-Yamaguti algebras and Inducibility problem
Saikat Goswami, Satyendra Kumar Mishra, Goutam Mukherjee
Lie-Yamaguti algebras generalize both the notions of Lie algebras and Lie triple systems. In this paper, we consider the inducibility problem for automorphisms of extensions of Lie…
Cohomology and deformations of Filippov algebroids
Satyendra Kumar Mishra, Goutam Mukherjee, Anita Naolekar
In this article, we study the deformations of Filippov algebroids. We define a differential graded Lie algebra (in short DGLA) for a Filippov algebroid by introducing the notion of…
Equivariant one-parameter formal deformations of Hom-Leibniz algebras
Goutam Mukherjee, Ripan Saha
Aim of this paper is to define a new type of cohomology for multiplicative Hom-Leibniz algebras which controls deformations of Hom-Leibniz algebra structure. The cohomology and the…
Equivariant one-parameter deformations of associative algebras
Goutam Mukherjee, Raj Bhawan Yadav
We introduce an equivariant version of Hochschild cohomology as the deformation cohomology to study equivariant deformations of associative algebras equipped with finite group acti…
Cup-product for equivariant Leibniz cohomology and zinbiel algebras
Goutam Mukherjee, Ripan Saha
We study finite group actions on Leibniz algebras, define equivariant cohomology groups associated to such actions. We show that there exists a cup-product operation on this graded…
Nambu structures on Lie algebroids and their modular classes
Apurba Das, Shilpa Gondhali, Goutam Mukherjee
We introduce the notion of the modular class of a Lie algebroid equipped with a Nambu structure. In particular, we recover the modular class of a Nambu-Poisson manifold with it…
Nambu Structures And Associated Bialgebroids
Samik Basu, Somnath Basu, Apurba Das +1
This paper investigates higher order generalizations of well known results for Lie algebroids and bialgebroids. It is proved that -Lie algebroid structures correspond to -ary…
Modular Class of a Lie algebroid with a Nambu structure
Apurba Das, Shilpa Gondhali, Goutam Mukherjee
In this paper, we introduce the notion of modular class of a Lie algebroid equipped with a Nambu structure satisfying some suitable hypothesis. We also introduce cohomology and…
Some Computations in Equivariant cobordism in relation to Milnor manifolds
Samik Basu, Goutam Mukherjee, Swagata Sarkar
Let be the unoriented cobordism algebra, let and let denote the equivariant cobordism algebra of -manifolds with finite stationary point se…
Finite group actions on Kan complexes
Goutam Mukherjee, Swagata Sarkar, Debasis Sen
We study simplicial action of groups on one vertex Kan complexes. We show that every semi-direct product of the fundamental group of an one vertex Kan complex with a finite group c…
Versal deformation theory of algebras over a quadratic operad
Alice Fialowski, Goutam Mukherjee, Anita Naolekar
We develop deformation theory of algebras over quadratic operads where the parameter space is a commutative local algebra. We also give a construction of a distinguised deformation…
Steenrod's reduced power operations in simplicial Bredon-Illman cohomology with local coefficients
Goutam Mukherjee, Debasis Sen
In this paper we use Peter May's algebraic approach to Steenrod operations to construct Steenrod's reduced power operations in simplicial Bredon-Illman cohomology with local coeffi…
On a theorem of Eilenberg in simplicial Bredon-Illman cohomology with local coefficients
Goutam Mukherjee, Debasis Sen
We prove simplicial version of a classical theorem of Eilenberg in the equivariant context and give an alternative description of the simplicial version of Bredon-Illman cohomology…
Equivariant Simplicial Cohomology With Local Coefficients and its Classification
Goutam Mukherjee, Debasis Sen
We introduce equivariant twisted cohomology of a simplicial set equipped with simplicial action of a discrete group and prove that for suitable twisting function induced from a giv…
Versal deformations of Leibniz algebras
Alice Fialowski, Ashis Mandal, Goutam Mukherjee
In this work we consider deformations of Leibniz algebras over a field of characteristic zero. The main problem in deformation theory is to describe all non-equivalent deformations…