Representations of the generalized Lie algebra sl(2)q

被引：4

作者：

Dobrev, VK

Sudbery, A

机构：

[1] Bulgarian Acad Sci, Inst Nucl Res & Nucl Energy, BU-1784 Sofia, Bulgaria

[2] Univ York, Dept Math, York YO1 5DD, N Yorkshire, England

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1998年 / 31卷 / 31期

关键词：

D O I：

10.1088/0305-4470/31/31/010

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We construct finite-dimensional irreducible representations of two quantum algebras related to the generalized Lie algebra sl(2)(q) introduced by Lyubashenko and Sudbery. We consider separately the cases of q generic and q at roots of unity. Some of the representations have no classical analogue even for generic q. Some of the representations have no analogue to the finite-dimensional representations of the quantized enveloping U-q(sl(2)), while in those that do there are different matrix elements.

引用

页码：6635 / 6645

页数：11

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