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The cohomology structure of string algebras

Juan Carlos Bustamante

math.KTarXiv:math/0410123

Abstract

We show that the graded commutative ring structure of the Hochschild cohomology HH*(A) is trivial in case A is a triangular quadratic string algebra. Moreover, in case A isgentle, the Lie algebra structure on HH*(A) is also trivial.

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