Operator representations of U-q(sl(2)(R))

被引：21

作者：

Schmudgen, K

机构：

来源：

LETTERS IN MATHEMATICAL PHYSICS | 1996年 / 37卷 / 02期

关键词：

star algebra; Hopf algebra; operator representations; Casimir operators;

D O I：

10.1007/BF00416024

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Integrable ('well-behaved') operator representations of the *-algebra U-q(sl(2)(R)),\q\ = 1, q(2) not equal 1, in Hilbert space are defined and classified up to unitary equivalence.

引用

页码：211 / 222

页数：12

共 15 条

[1] [Anonymous], THEORY OPERATOR ALGE
[2] Barut A., 1977, THEORY GROUP REPRESE
[3] Drinfeld V. G., 1986, P INT C MATHEMATICIA, V155, P18
[4] Q-DEFORMED ORTHOGONAL AND PSEUDO-ORTHOGONAL ALGEBRAS AND THEIR REPRESENTATIONS
GAVRILIK, AM
KLIMYK, AU
[J]. LETTERS IN MATHEMATICAL PHYSICS, 1991, 21 (03) : 215 - 220
[5] A Q-DIFFERENCE ANALOG OF U(G) AND THE YANG-BAXTER EQUATION
JIMBO, M
[J]. LETTERS IN MATHEMATICAL PHYSICS, 1985, 10 (01) : 63 - 69
[6] Kassel C., 1995, GTM, V155
[7] QUANTUM GROUP SU (1,1)INFINITY-Z2 AND SUPER-TENSOR PRODUCTS
KOROGODSKY, LI
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1994, 163 (03) : 433 - 460
[8] Kulish P.P., 1981, ZAPISKI NAUCHN SEMIN, V101, P101, DOI 10.1007/BF01084171
[9] Ostrovskyi V. L., 1993, SEM SOPHUS LIE, V3, P185
[10] INTEGRABLE OPERATOR REPRESENTATIONS OF RQ(2), XQ,GAMMA AND SLQ(2,R)
SCHMUDGEN, K
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1994, 159 (02) : 217 - 237

← 1 2 →