FINITE-DIMENSIONAL REPRESENTATIONS OF U(Q)(OSP(1/2N)) AND ITS CONNECTION WITH QUANTUM SO(2N+1)

被引：35

作者：

ZHANG, RB ^{[1
]}

机构：

[1] AUSTRALIAN NATL UNIV,INST ADV STUDIES,DEPT THEORET PHYS,CANBERRA,ACT 2600,AUSTRALIA

来源：

LETTERS IN MATHEMATICAL PHYSICS | 1992年 / 25卷 / 04期

关键词：

D O I：

10.1007/BF00398404

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It is shown that the quantum supergroup U(q)(osp(1/2n)) is essentially isomorphic to the quantum group U-q(so(2n + 1)) restricted to tensorial representations. This renders it straightforward to classify all the finite-dimensional irreducible representations of U(q)(osp(1/2n)) at generic q. In particular, it is proved that at generic q, every-dimensional irrep of this quantum supergroup is a deformation of an osp(1/2n) irrep, and all the finite-dimensional representations are completely reducible.

引用

页码：317 / 325

页数：9

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