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.

引用

页码：331 / 340

页数：10

共 45 条

[41] A SIMPLE METHOD FOR CONSTRUCTING THE INHOMOGENEOUS QUANTUM GROUP IGL(Q)(N) AND ITS UNIVERSAL ENVELOPING ALGEBRA U-Q(IGL(N))
SHARIATI, A
AGHAMOHAMMADI, A
JOURNAL OF MATHEMATICAL PHYSICS, 1995, 36 (12) : 7103 - 7108
[42] ON A NONSTANDARD 2-PARAMETRIC QUANTUM ALGEBRA AND ITS CONNECTIONS WITH U-P,U-Q(GL(2)) AND U-P,U-Q(GL(1-VERTICAL-BAR-1))
CHAKRABARTI, R
JAGANNATHAN, R
ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1995, 66 (03): : 523 - 528
[43] q-deformation of the group algebra k[(W)over-cap] associated to the elliptic root system Al(1,1) (l ≥ 2)
Takebayashi, T
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 2000, 76 (03) : 35 - 38
[44] Deformed boson scheme including conventional q-deformation in time-dependent variational method.: III -: Deformation of the su(2,1)-algebra in terms of three kinds of boson operators
Kuriyama, A
Providência, C
da Providência, J
Tsue, Y
Yamamura, M
PROGRESS OF THEORETICAL PHYSICS, 2002, 107 (01): : 65 - 86
[45] TRANSITION FROM SU(2)(L)XSU(2)(R)XU(1)(B-L) REPRESENTATION TO SU(2)(L)XU(1)(Y) BY Q-DEFORMATION AND THE CORRESPONDING CLASSICAL BREAKING TERM OF CHIRAL U(2)
BONISCH, R
ANNALEN DER PHYSIK, 1995, 4 (04) : 345 - 353

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