From the 1 of 6 linked papers with an AI index.
6 papers
Higher Structures of Rota--Baxter Lie -Pseudoalgebras
Sania Asif, Zhixiang Wu
The paper develops a cohomology theory and homotopy framework for Rota‑Baxter Lie H‑pseudoalgebras, classifies their non‑abelian extensions via second cohomology, and relates stric…
Quasi-Twilled Lie Pseudolgebras and Their Deformation Maps
Sania Asif, Zhixiang Wu
In this paper, we present a unified framework for studying cohomology theories of various operators in the context of pseudoalgebras. The central tool in our approach is the notion…
Isoclinism in regular Hom-Lie Yamaguti algebras
Sania Asif, Mohamed Amin Sadraoui
In this paper, we develop the theory of \emph{isoclinism} for regular Hom-Lie Yamaguti algebras, a class that unifies several generalizations of Lie algebras. Although isomorphism…
Cohomology, Homotopy, Extensions, and Automorphisms of Nijenhuis Lie Conformal Algebras
Sania Asif
This paper explores various algebraic and homotopical aspects of Nijenhuis Lie conformal algebras, including their cohomology theory, -structures, non-abelian e…
Cohomology and Homotopification of averaging operators on the Lie conformal algebras
Sania Asif, Zhixiang Wu
Building upon the work of Pavel in [P. Kolesnikov, Journal of Mathematical Physics, 56, 7 (2015)], we first present the cohomology of averaging operators on the Lie conformal algeb…
Exploring Cohomology, Deformations, and Hom-NS Structures in Hom-Leibniz Conformal Algebras through Nijenhuis Operators
Sania Asif
This paper studies the Nijenhuis operator on Hom-Leibniz conformal algebra, defining their representations and cohomologies. We determine the cohomologies for both Hom-Leibniz conf…