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Hochschild Cohomology and Deformations of Clifford–Weyl Algebras
Symmetry, integrability and geometry: methods and applications, Tome 5 (2009) Cet article a éte moissonné depuis la source Math-Net.Ru

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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 $k\neq1$. We find all non-trivial deformations of $\mathcal C(2n+1,2)$ and study their representations.
Keywords: Hochschild cohomology; deformation theory; Clifford algebras; Weyl algebras; Clifford–Weyl algebras; parastatistics. 
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     author = {Ian M. Musson and Georges Pinczon and Rosane Ushirobira},
     title = {Hochschild {Cohomology} and {Deformations} of {Clifford{\textendash}Weyl} {Algebras}},
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     year = {2009},
     volume = {5},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2009_5_a27/}
}
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Ian M. Musson; Georges Pinczon; Rosane Ushirobira. Hochschild Cohomology and Deformations of Clifford–Weyl Algebras. Symmetry, integrability and geometry: methods and applications, Tome 5 (2009). http://geodesic.mathdoc.fr/item/SIGMA_2009_5_a27/

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