Q-ANALOGS OF CLIFFORD AND WEYL ALGEBRAS - SPINOR AND OSCILLATOR REPRESENTATIONS OF QUANTUM ENVELOPING-ALGEBRAS

被引：321

作者：

HAYASHI, T

机构：

[1] Department of Mathematics, Faculty of Science, Nagoya University, Nagoya, 464, Chikusa-ku

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1990年 / 127卷 / 01期

关键词：

D O I：

10.1007/BF02096497

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We introduce q-analogues of Clifford and Weyl algebras. Using these, we construct spinor and oscillator representations of quantum enveloping algebras of type AN-1, BN, CN, DN and AN-1(1). Also we discuss the irreducibility and the unitarity of these representations. © 1990 Springer-Verlag.

引用

页码：129 / 144

页数：16