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July 2013 Hochschild cohomology ring of the generalized quaternion algebras
Takao Hayami
Tsukuba J. Math. 37(1): 13-25 (July 2013). DOI: 10.21099/tkbjm/1373893403

Abstract

We will give an efficient bimodule projective resolution of the generalized quaternion Z algebra Γ. As a main result, we will determine the ring structure of the Hochschild cohomology HH*(Γ) by calculating the Yoneda products using this resolution.

Citation

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Takao Hayami. "Hochschild cohomology ring of the generalized quaternion algebras." Tsukuba J. Math. 37 (1) 13 - 25, July 2013. https://doi.org/10.21099/tkbjm/1373893403

Information

Published: July 2013
First available in Project Euclid: 15 July 2013

zbMATH: 1273.16011
MathSciNet: MR3112416
Digital Object Identifier: 10.21099/tkbjm/1373893403

Subjects:
Primary: 16E40

Keywords: bimodule projective resolution , generalized quaternion algebra , Hochschild cohomology ring , Yoneda product

Rights: Copyright © 2013 University of Tsukuba, Institute of Mathematics

Vol.37 • No. 1 • July 2013
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