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arXiv · 0810.0184

Hochschild Cohomology and Deformations of Clifford-Weyl Algebras

Ian M. Musson·Georges Pinczon·Rosane Ushirobira
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Abstract

We give a complete study of the Clifford-Weyl algebra ${\mathcal C}(n,2k)$ from Bose-Fermi statistics, including Hochschild cohomology (with coefficients in itself). We show that ${\mathcal C}(n,2k)$ is rigid when $n$ is even or when $k \neq 1$. We find all non-trivial deformations of ${\mathcal C}(2n+1,2)$ and study their representations.

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BibTeXRIS

Ian M. Musson, Georges Pinczon, Rosane Ushirobira. 2009-03-18. Hochschild Cohomology and Deformations of Clifford-Weyl Algebras. https://doi.org/10.3842/sigma.2009.028

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