Hochschild Cohomology and Deformations of Clifford-Weyl Algebras

被引：5

作者：

Musson, Ian M. ^{[1
]}

Pinczon, Georges ^{[2
]}

Ushirobira, Rosane ^{[2
]}

机构：

[1] Univ Wisconsin, Dept Math Sci, Milwaukee, WI 53201 USA

[2] Univ Bourgogne, Inst Math Bourgogne, F-21078 Dijon, France

来源：

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2009年 / 5卷

关键词：

Hochschild cohomology; deformation theory; Clifford algebras; Weyl algebras; Clifford-Weyl algebras; parastatistics; SYMPLECTIC REFLECTION ALGEBRAS; LIE-SUPERALGEBRAS; QUANTIZATION; REPRESENTATIONS;

D O I：

10.3842/SIGMA.2009.028

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 not equal 1. We find all non-trivial deformations of C(2n + 1, 2) and study their representations.

引用

页数：27

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