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The cohomology structure of string algebras

Juan Carlos Bustamante
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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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Juan Carlos Bustamante. 2004-10-05. The cohomology structure of string algebras. https://arxiv.org/abs/math/0410123

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