Biparametric Irreducible Representations of Braid Groups

被引：0

作者：

仝殿民

朱诚久

杨善德

机构：

[1] Changchun 130023

[2] Department of Physics

[3] PRC

[4] Jilin University

来源：

Science China Mathematics | 1994年 / 11期

基金：

中国国家自然科学基金;

关键词：

braid group; irreducible representation; Yang diagram;

D O I：

暂无

中图分类号：

O411.1 [数学物理方法];

学科分类号：

0701 ; 070104 ;

摘要：

A series of irreducible representations of braid group Bn are given.By means of a generalized Conway relation (gi-q)(gi+p) = 0,a complete set of operators H(i) are constructed.With the eigenvectors of H(i) as representation bases,the biparametric irreducible representations of Bn are obtained by the help of Yang diagrams.

引用

页码：1370 / 1377

页数：8

共 50 条

[31] Affine braid groups: a better platform than braid groups for cryptology?
Ping Zhu
Qiaoyan Wen
Applicable Algebra in Engineering, Communication and Computing, 2011, 22 : 375 - 391
[32] Monodromy representations of the braid group
I. T. Todorov
L. K. Hadjiivanov
Physics of Atomic Nuclei, 2001, 64 : 2059 - 2068
[33] Affine braid groups: a better platform than braid groups for cryptology?
Zhu, Ping
Wen, Qiaoyan
APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2011, 22 (5-6) : 375 - 391
[34] On a class of unitary representations of the braid groups B3 and B4
Albeverio, Sergio
Rabanovich, Slavik
BULLETIN DES SCIENCES MATHEMATIQUES, 2019, 153 : 35 - 56
[35] Orders on braid groups
N. Ya. Medvedev
Algebra and Logic, 2003, 42 (3) : 177 - 180
[36] Braid groups are linear
Bigelow, SJ
JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 2001, 14 (02) : 471 - 486
[37] Braid groups in cryptology
Lee, EK
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2004, E87A (05): : 986 - 992
[38] p-Saturations of Welter's game and the irreducible representations of symmetric groups
Irie, Yuki
JOURNAL OF ALGEBRAIC COMBINATORICS, 2018, 48 (02) : 247 - 287
[39] p-Saturations of Welter’s game and the irreducible representations of symmetric groups
Yuki Irie
Journal of Algebraic Combinatorics, 2018, 48 : 247 - 287
[40] Diagram groups, braid groups, and orderability
Wiest, B
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2003, 12 (03) : 321 - 332

← 1 2 3 4 5 →