Equivariant one-parameter deformations of associative algebra morphisms

DOI10.21136/CMJ.2023.0171-22arXiv1905.03607OpenAlexW2943924540MaRDI QIDQ6132993

Raj Bhawan Yadav

Publication date: 17 August 2023

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Abstract: In this article, we introduce equivariant formal deformation theory of associative algebra morphisms. We introduce an equivariant deformation cohomology of associative algebra morphisms and using this we study the equivariant formal deformation theory of associative algebra morphisms.

Full work available at URL: https://arxiv.org/abs/1905.03607

zbMATH Keywords

Hochschild cohomologygroup actionequivariant cohomologyequivariant formal deformation

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Equivariant homology and cohomology in algebraic topology (55N91) Deformations of associative rings (16S80)

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A one-parameter deformation of the Farahat-Higman algebra. ⋮ Equivariant one-parameter deformations of associative algebras ⋮ Derived equivalences between associative deformations

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