Equivariant one-parameter formal deformations of Hom-Leibniz algebras

被引：4

作者：

Mukherjee, Goutam ^{[1
]}

Saha, Ripan ^{[2
]}

机构：

[1] Indian Stat Inst, Stat Math Unit, Kolkata 700108, W Bengal, India

[2] Raiganj Univ, Dept Math, Raiganj 733134, W Bengal, India

来源：

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2022年 / 24卷 / 03期

关键词：

Group action; Hom-Leibniz algebra; equivariant cohomology; one-parameter formal deformation; rigidity; COHOMOLOGY; RINGS;

D O I：

10.1142/S0219199720500820

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to define a new type of cohomology for multiplicative Hom-Leibniz algebras which control deformations of Hom-Leibniz algebras. The cohomology and the associated deformation theory for Hom-Leibniz algebras as developed here are also extended to equivariant context, under the presence of finite group actions on Hom-Leibniz algebras.

引用

页数：27

共 27 条

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