Deformations of Loday-type algebras and their morphisms

2019/04/28 by Das, Apurba · 2 citations
#16E40 #16S80 #17A30 #17A99 #FOS: Mathematics #K-Theory and Homology (math.KT) #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1904.12366

Abstract

We study formal deformations of multiplication in an operad. This closely resembles Gerstenhaber's deformation theory for associative algebras. However, this applies to various algebras of Loday-type and their twisted analogs. We explicitly describe the cohomology of these algebras with coefficients in a representation. Finally, deformation of morphisms between algebras of the same Loday-type is also considered.

Cited by

• Universal Coacting Hopf Algebra of a finite-dimensional Algebra over an Operad
• Frölicher-Nijenhuis bracket and derived bracket associated to a nonsymmetric operad with multiplication

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