Hochschild Cohomology and Deformations of Clifford-Weyl Algebras

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dc.creatorMusson, Ian M.
dc.creatorPinczon, Georges
dc.creatorUshirobira, Rosane
dc.date2008-10-01
dc.date2009-03-18
dc.date.accessioned2026-07-07T12:53:01Z
dc.date.available2026-07-07T12:53:01Z
dc.descriptionWe 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 $k \neq 1$. We find all non-trivial deformations of ${\mathcal C}(2n+1,2)$ and study their representations.
dc.identifierhttps://arxiv.org/abs/0810.0184
dc.identifierhttp://arxiv.org/abs/0810.0184
dc.identifierSIGMA 5 (2009), 028, 27 pages
dc.identifierdoi:10.3842/SIGMA.2009.028
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223485
dc.subjectRepresentation Theory
dc.subjectMathematical Physics
dc.subjectRings and Algebras
dc.subject17B56, 17B10
dc.titleHochschild Cohomology and Deformations of Clifford-Weyl Algebras
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