Geometry of quantum homogeneous supervector bundles and representation theory of quantum general linear supergroup

被引:0
|
作者
Zhang, RB [1 ]
机构
[1] Univ Adelaide, Dept Pure Math, Adelaide, SA 5005, Australia
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D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The quantum general linear supergroup GL(q)(m\n) is defined and its structure is studied systematically. Quantum homogeneous supervector bundles are introduced following Connes' theory, and applied to develop the representation theory of GL(q)(m\n). Quantum Frobenius reciprocity is proven, and a Borel-Weil theorem is established for the covariant and contravariant tensor irreps.
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页码:37 / 39
页数:3
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