Deformations of Loday-type algebras and their morphisms
Rings and Algebras
2020-09-01 v3 K-Theory and Homology
Representation Theory
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.
Cite
@article{arxiv.1904.12366,
title = {Deformations of Loday-type algebras and their morphisms},
author = {Apurba Das},
journal= {arXiv preprint arXiv:1904.12366},
year = {2020}
}
Comments
This is the final version that appears in "Journal of Pure and Applied Algebra"