Vanishing of the Hochschild cohomology for some self-injective special biserial algebra of rank four

2014/06/01 by Takahiko Furuya, Furuya, Takahiko, Takao Hayami +1
Mathematics · #16E05 #16E40 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1406.0159

openalex publication_date 2014/06/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we determine the dimensions of the Hochschild cohomology groups of some self-injective special biserial algebra whose Grothendieck group is of rank 4. This result provides us with a negative answer to Happel's question in [H].

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