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math.RA2026
Nijenhuis Lie -algebras
Apurba Das
In this paper, we first introduce Nijenhuis Lie 2-algebras as the categorification of Nijenhuis Lie algebras. We prove that the category of Nijenhuis Lie 2-algebras is equivalent t…
math.RA2026
Difference -algebras and difference -algebras
Apurba Das
A difference operator on an associative algebra is an algebraic abstraction of the forward and backward difference operators. In this paper, we first introduce difference operators…
math.RT2026
Factorizations, classifying complements problem and deformation maps for Lie-Yamaguti algebras
Apurba Das
A Lie-Yamaguti algebra is a non-associative algebraic structure that generalizes both Lie algebras and Lie triple systems. We first consider the factorization problem for Lie-Yamag…