AN EXTENSION OF THE BOREL-WEIL CONSTRUCTION TO THE QUANTUM GROUP-U Q(N)

被引：29

作者：

BIEDENHARN, LC ^{[1
]}

LOHE, MA ^{[1
]}

机构：

[1] NO TERR UNIV, FAC SCI, CASUARINA, NT 0811, AUSTRALIA

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1992年 / 146卷 / 03期

关键词：

D O I：

10.1007/BF02097014

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The Borel-Weil (BW) construction for unitary irreps of a compact Lie group is extended to a construction of all unitary irreps of the quantum group U(q)(n). This q-BW construction uses a recursion procedure for U(q)(n) in which the fiber of the bundle carries an irrep of U(q)(n - 1) x U(q)(1) with sections that are holomorphic functions in the homogeneous space U(q)(n)/U(q)(n - 1) x U(q)(1). Explicit results are obtained for the U(q)(n) irreps and for the related isomorphism of quantum group algebras.

引用

页码：483 / 504

页数：22

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