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math.RA2025
Non-abelian extensions and Wells exact sequences of Bol algebras
Jingzi Zhang, Tao Zhang
The aim of this paper is to explore non-abelian extensions of Bol algebras and to study the extensibility of a pair of automorphisms within these non-abelian extensions. We begin b…
math.RA2025
Cohomology and automorphisms of Com-PreLie algebras
Tao Zhang, Ying-Hua Lu
This paper introduces the concept of representations for Com-PreLie algebras and develops corresponding cohomology theories, examining how cohomology groups can be applied in the c…
math.RA2025
Cohomology and automorphisms for a matched pair of 3-Lie algebras
Tao Zhang, Jingzi Zhang
We begin by reviewing the definition of 3-Lie algebras and the fundamental concepts of matched pairs. Subsequently, we introduce the representation theory of matched pairs and defi…