Hochschild Cohomology and Deformations of Clifford-Weyl Algebras

dc.contributor.author	Musson, I.M.
dc.contributor.author	Pinczon, G.
dc.contributor.author	Ushirobira, R.
dc.date.accessioned	2019-02-19T18:13:37Z
dc.date.available	2019-02-19T18:13:37Z
dc.date.issued	2009
dc.identifier.citation	Hochschild Cohomology and Deformations of Clifford-Weyl Algebras / I.M. Musson, G. Pinczon, R. Ushirobira // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 28 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2000 Mathematics Subject Classification: 16E40; 16G99; 16S80; 17B56; 17B10; 53D55
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/149177
dc.description.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.	uk_UA
dc.description.sponsorship	This paper is a contribution to the Special Issue on Deformation Quantization.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Hochschild Cohomology and Deformations of Clifford-Weyl Algebras	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA