The Gerstenhaber bracket of Hochschild cohomology of triangular quadratic monomial algebra

Yuan Chen (), Yanhong Guo and Yunge Xu
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Yuan Chen: Hubei University
Yanhong Guo: Hubei University
Yunge Xu: Hubei University

Indian Journal of Pure and Applied Mathematics, 2015, vol. 46, issue 2, 175-190

Abstract: Abstract In this paper, we give a combinatorial description for the Gerstenhaber bracket on the Hochschild cohomology of triangular quadratic monomial algebras. Moreover, we describe explicitly the Gerstenhaber bracket of the cohomology of Fibonacci algebras in terms of parallel paths, and obtain that its Lie algebra structure is nontrivial while the ring structure is trivial.

Keywords: Triangular quadratic monomial algebra; Fibonacci algebra; Hochschild cohomology; Gerstenhaber bracket (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s13226-015-0120-0

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