The nonstandard q-deformation of enveloping algebra U(son):: results and problems

被引：11
|
作者：
Klimyk, AU [1 ]
机构：
[1] Natl Acad Sci Ukraine, Inst Theoret Phys, UA-03143 Kiev, Ukraine
来源：
CZECHOSLOVAK JOURNAL OF PHYSICS | 2001年 / 51卷 / 04期
关键词：
D O I：
10.1023/A:1017589422602
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We describe properties of the nonstandard q-deformation U-q'(so(n)) of the universal enveloping algebra U(so(n)) of the Lie algebra so(n) which does not coincide with the Drinfeld-Jimbo quantum algebra U-q(so(n)) and is important for quantum gravity. Many unsolved problems are formulated. Some of these problems are solved in special cases.
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页码：331 / 340
页数：10
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