BIPARAMETRIC IRREDUCIBLE REPRESENTATIONS OF BRAID-GROUPS

被引：0
作者：
TONG, DM
ZHU, CJ
YANG, SD
机构：
来源：
SCIENCE IN CHINA SERIES A-MATHEMATICS | 1994年 / 37卷 / 11期
关键词：
BRAID GROUP; IRREDUCIBLE REPRESENTATION; YANG DIAGRAM;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A series of irreducible representations of braid group B-n are given. By means of a generalized Conway relation (g(i)-q)(q(i)+p)=0, a complete set of operators (H) over cap(i) are constructed. With the eigenvectors of H(i) as representation bases, the bipararnetric irreducible representations of B-n are obtained by the help of Yang diagrams.
引用
收藏
页码：1370 / 1377
页数：8
相关论文
共 11 条
[1]   PARTITION-FUNCTION OF 8-VERTEX LATTICE MODEL [J].
BAXTER, RJ .
ANNALS OF PHYSICS, 1972, 70 (01) :193-&
[2]  
GYOJA A, 1986, OSAKA J MATH, V23, P841
[3]   HECKE ALGEBRA REPRESENTATIONS OF BRAID-GROUPS AND LINK POLYNOMIALS [J].
JONES, VFR .
ANNALS OF MATHEMATICS, 1987, 126 (02) :335-388
[4]   A POLYNOMIAL INVARIANT FOR KNOTS VIA VONNEUMANN-ALGEBRAS [J].
JONES, VFR .
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1985, 12 (01) :103-111
[5]   FINITE DIMENSIONAL REPRESENTATIONS OF BRAID-GROUPS [J].
MA, ZQ ;
TONG, DM ;
ZHOU, B .
COMMUNICATIONS IN THEORETICAL PHYSICS, 1992, 18 (03) :369-372
[6]   IRREDUCIBLE REPRESENTATIONS OF BRAID-GROUPS [J].
TONG, DM ;
ZHU, CJ ;
MA, ZQ .
JOURNAL OF MATHEMATICAL PHYSICS, 1992, 33 (08) :2660-2663
[7]  
TONG DM, 1993, PROG NAT SCI, V3, P39
[8]  
WADATI M, 1988, PROG THEOR PHYS SUPP, P1, DOI 10.1143/PTPS.94.1
[9]   HECKE ALGEBRAS OF TYPE-AN AND SUBFACTORS [J].
WENZL, H .
INVENTIONES MATHEMATICAE, 1988, 92 (02) :349-383
[10]   SOME EXACT RESULTS FOR MANY-BODY PROBLEM IN ONE DIMENSION WITH REPULSIVE DELTA-FUNCTION INTERACTION [J].
YANG, CN .
PHYSICAL REVIEW LETTERS, 1967, 19 (23) :1312-+
12