Twisted affine Lie superalgebra of type Q and quantization of its enveloping superalgebra

被引：5
作者：
Chen, Hongjia [1 ]
Guay, Nicolas [1 ]
机构：
[1] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada
来源：
MATHEMATISCHE ZEITSCHRIFT | 2012年 / 272卷 / 1-2期
基金：
加拿大自然科学与工程研究理事会;
关键词：
HECKE-CLIFFORD ALGEBRAS; CENTRALIZER CONSTRUCTION; REPRESENTATIONS;
D O I：
10.1007/s00209-011-0935-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce a new quantum group which is a quantization of the enveloping superalgebra of a twisted affine Lie superalgebra of type Q. We study generators and relations for superalgebras in the finite and twisted affine cases, and also universal central extensions. Afterwards, we apply the FRT formalism to a certain solution of the quantum Yang-Baxter equation to define that new quantum group and we study some of its properties. We construct a functor of Schur-Weyl type which connects it to affine Hecke-Clifford algebras and prove that it provides an equivalence between two categories of modules.
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收藏
页码：317 / 347
页数：31
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