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The cohomology structure of string algebras
Authors:Juan Carlos Bustamante
Institution:Département de Mathématiques, Université de Sherbrooke, 2500 Boulevard de l’Université, Sherbrooke, Que., Canada J1K 2R1
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 is gentle, the Lie algebra structure on HH*(A) is also trivial.
Keywords:16E40
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