A NEW QUANTUM GROUP ASSOCIATED WITH A NONSTANDARD BRAID GROUP REPRESENTATION

被引：32

作者：

JING, NH

GE, ML

WU, YS

机构：

[1] INST ADV STUDY,SCH MATH,PRINCETON,NJ 08540

[2] SUNY STONY BROOK,INST THEORET PHYS,STONY BROOK,NY 11794

[3] INST ADV STUDY,SCH NAT SCI,PRINCETON,NJ 08540

[4] NANKAI INST MATH,DIV THEORET PHYS,TIANJIN 300071,PEOPLES R CHINA

来源：

LETTERS IN MATHEMATICAL PHYSICS | 1991年 / 21卷 / 03期

关键词：

D O I：

10.1007/BF00420369

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A new quantum group is derived from a 'nonstandard' braid group representation by employing the Faddeev-Reshetikhin-Takhtajan constructive method. The classical limit is not a Lie superalgebra, despite relations like x2 = y2 = 0. We classify all finite-dimensional irreducible representations of the new Hopf algebra and find only one- and two-dimensional ones.

引用

页码：193 / 203

页数：11

共 22 条

[1] QUANTUM GROUP INTERPRETATION OF SOME CONFORMAL FIELD-THEORIES [J].

ALVAREZGAUME, L ;

GOMEZ, C ;

SIERRA, G .

PHYSICS LETTERS B, 1989, 220 (1-2) :142-152

[2]

ALVAREZGAUME L, CERN TH526788

[3]

Baxter R. J., 2007, EXACTLY SOLVED MODEL

[4]

DRINFELD VG, 1985, DOKL AKAD NAUK SSSR+, V283, P1060

[5]

DRINFELD VG, P ICM 86 BERKELEY

[6]

FADDEEV LD, BRAID GROUP KNOT THE

[7] AKUTZU-WADATI LINK POLYNOMIALS FROM FEYNMAN-KAUFFMAN DIAGRAMS [J].

GE, ML ;

WANG, LY ;

XUE, K ;

WU, YS .

INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1989, 4 (13) :3351-3373

[8]

GE ML, ITPSB9020

[9]

GE ML, ITPSB9002

[10]

JIMBO M, 1986, LETT MATH PHYS, V11, P247, DOI 10.1007/BF00400222

← 1 2 3 →