Cohomology and derivations of BiHom-Lie conformal algebras
Shuangjian Guo, Xiaohui Zhang, Shengxiang Wang
TL;DR
This paper introduces the concept of BiHom-Lie conformal algebras, develops their cohomology, explores deformations, and studies derivations, contributing to the algebraic understanding of these structures.
Contribution
It is the first to define BiHom-Lie conformal algebras, establish their cohomology theory, and analyze derivations and deformations.
Findings
Established cohomology theory for BiHom-Lie conformal algebras
Analyzed properties of derivations in these algebras
Explored deformations of regular BiHom-Lie conformal algebras
Abstract
In this paper, we introduce the notion of a BiHom-Lie conformal algebra and develop its cohomology theory. Also, we discuss some applications to the study of deformations of regular BiHom-Lie conformal algebras. Finally, we introduce derivations of multiplicative BiHom-Lie conformal algebras and study their properties.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Nonlinear Waves and Solitons