Integrable derivations and stable equivalences of Morita type
Markus Linckelmann
Abstract
Using that integrable derivations of symmetric algebras can be interpreted in terms of Bockstein homomorphisms in Hochschild cohomology, we show that integrable derivations are invariant under the transfer maps in Hochschild cohomology of symmetric algebras induced by stable equivalences of Morita type. With applications in block theory in mind, we allow complete discrete valuation rings of unequal characteristic. Key words: derivation, stable equivalence. 2010 Mathematics Subject classification: 16E40, 16G30, 16D90.