The Hochschild cohomology groups under gluing idempotents

Published 10 Nov 2022 in math.RT, math.KT, and math.RA | (2211.05435v2)

Abstract: We compare the first Hochschild cohomology groups of finite dimensional monomial algebras under gluing two idempotents. We also compare the fundamental groups and the Hochschild cohomology groups in other degrees. In particular, we will study the case of gluing a source and a sink, that is, when we obtain a stable equivalence.

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