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Hochschild Cohomology and Deformations of Clifford-Weyl Algebras

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 نشر من قبل Rosane Ushirobira
 تاريخ النشر 2009
  مجال البحث فيزياء
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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 $k eq 1$. We find all non-trivial deformations of ${mathcal C}(2n+1,2)$ and study their representations.



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