Hochschild Cohomology and Deformations of Clifford-Weyl Algebras

Abstract : 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.
Document type :
Journal articles
Complete list of metadatas

https://hal.archives-ouvertes.fr/hal-00438865
Contributor : Rosane Ushirobira <>
Submitted on : Friday, December 4, 2009 - 10:57:42 PM
Last modification on : Tuesday, July 3, 2018 - 1:06:07 PM

Links full text

Identifiers

Collections

Citation

Ian Musson, Georges Pinczon, Rosane Ushirobira. Hochschild Cohomology and Deformations of Clifford-Weyl Algebras. Symmetry, Integrability and Geometry : Methods and Applications, National Academy of Science of Ukraine, 2009, 028, 27 p. ⟨10.3842/SIGMA.2009.028⟩. ⟨hal-00438865⟩

Share

Metrics

Record views

138