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math.RA2025
Frölicher-Nijenhuis bracket and derived bracket associated to a nonsymmetric operad with multiplication
Anusuiya Baishya, Apurba Das
This paper aims to construct two graded Lie algebras associated with a nonsymmetric operad with multiplication. Maurer-Cartan elements of these graded Lie algebras correspond respe…
math.RA2025
Cohomology theory of Nijenhuis Lie algebras and (generic) Nijenhuis Lie bialgebras
Apurba Das
The aim of this paper is twofold. In the first part, we define the cohomology of a Nijenhuis Lie algebra with coefficients in a suitable representation. Our cohomology of a Nijenhu…
math.RA2025
Non-abelian cohomology of Nijenhuis Lie algebras and the inducibility of automorphisms and derivations
Apurba Das
In this paper, we first introduce the non-abelian cohomology group of a Nijenhuis Lie algebra with values in another Nijenhuis Lie algebra and show that it parametrizes the isomorp…