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Article Dans Une Revue Symmetry, Integrability and Geometry : Methods and Applications Année : 2009

Hochschild Cohomology and Deformations of Clifford-Weyl Algebras

Résumé

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

Dates et versions

hal-00438865 , version 1 (04-12-2009)

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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, 2009, 028, 27 p. ⟨10.3842/SIGMA.2009.028⟩. ⟨hal-00438865⟩
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