BASIC HYPERGEOMETRIC-FUNCTIONS AND THE BOREL-WEIL CONSTRUCTION FOR U-Q(3)

被引：7

作者：

LOHE, MA ^{[1
]}

BIEDENHARN, LC ^{[1
]}

机构：

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

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1994年 / 25卷 / 01期

关键词：

QUANTUM GROUP; BASIC HYPERGEOMETRIC FUNCTIONS; IRREDUCIBLE REPRESENTATIONS; BOREL-WELL CONSTRUCTION;

D O I：

10.1137/S0036141092226399

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Borel-Weil construction of the irreducible unitary representations of the quantum group U-q(3) is investigated. The representation functions are calculated explicitly and found to be expressible in terms of basic hypergeometric functions; the form of these basis functions verifies previous general results. It is shown that several identities satisfied by basic hypergeometric functions, including a special case of Watson's formula, are implied by properties of the quantum group.

引用

页码：218 / 241

页数：24

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