UNITARY REPRESENTATIONS OF BASIC CLASSICAL LIE-SUPERALGEBRAS

被引：7

作者：

GOULD, MD

ZHANG, RB

机构：

[1] Department of Mathematics, The University of Queensland, St. Lucia, 4067, Qld

来源：

LETTERS IN MATHEMATICAL PHYSICS | 1990年 / 20卷 / 03期

关键词：

AMS subject classifications (1980): 81C40; 17B10; 17A40;

D O I：

10.1007/BF00398365

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We have obtained all the finite-dimensional unitary irreps of gl(m|n) and C(n), which also exhaust such irreps of all the basic classical Lie superalgebras. The lowest weights of such irreps are worked out explicitly. It is also shown that the contravariant and covariant tensor irreps of gl(m|n) are unitary irreps of type (1) and type (2) respectively, explaining the applicability of the Young diagram method to these two types of tensor irreps. © 1990 Kluwer Academic Publishers.

引用

页码：221 / 229

页数：9

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