Irreducible representations of Braid group Bn of dimension n+1

被引：3

作者：

Sysoeva, Inna ^{[1
]}

机构：

[1] SUNY Binghamton, Dept Math Sci, Binghamton, NY 13902 USA

来源：

JOURNAL OF GROUP THEORY | 2021年 / 24卷 / 01期

关键词：

D O I：

10.1515/jgth-2020-0103

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that there are no irreducible representations of B-n of dimension n + 1 for n >= 10.

引用

页码：39 / 78

页数：40

共 50 条

[1] SOME IRREDUCIBLE REPRESENTATIONS OF THE BRAID GROUP Bn OF DIMENSION GREATER THAN n
Maria Egea, Claudia
Galina, Esther
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2010, 19 (04) : 539 - 546
[2] SOME IRREDUCIBLE REPRESENTATIONS OF THE BRAID GROUP Bn OF DIMENSION GREATER THAN n (vol 19, pg 539, 2010)
Maria Egea, Claudia
Galina, Esther
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2011, 20 (02) : 343 - 343
[3] Dimension n representations of the braid group on n strings
Sysoeva, I
JOURNAL OF ALGEBRA, 2001, 243 (02) : 518 - 538
[4] THE IRREDUCIBLE COMPLEX REPRESENTATIONS OF THE BRAID GROUP ON n STRINGS OF DEGREE ≤ n
Formanek, Edward
Lee, Woo
Sysoeva, Inna
Vazirani, Monica
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2003, 2 (03) : 317 - 333
[5] On the irreducibility of local representations of the Braid group Bn
Chreif, Mohammad Y.
Dally, Malak M.
ARABIAN JOURNAL OF MATHEMATICS, 2024, 13 (02) : 263 - 273
[6] Tensoring three irreducible linear representations of the braid group
Abdulrahim, Mohammad N.
LINEAR & MULTILINEAR ALGEBRA, 2009, 57 (08): : 749 - 758
[7] THE EMBEDDING OF QUANTUM ALGEBRA U(GL(N+1)) IN IRREDUCIBLE REPRESENTATIONS OF U(GL(N+1))
HOU, BY
SHI, KJ
SONG, XC
WANG, P
COMMUNICATIONS IN THEORETICAL PHYSICS, 1990, 13 (01) : 71 - 78
[8] Extending irreducible braid representations to the 3-component loop braid group
Le Bruyn, Lieven
INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2016, 11 (02): : 81 - 87
[9] A construction by deformation of unitary irreducible representations of SU(1, n) and SU(n+1)
Cahen, Benjamin
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2019, 18 (07)
[10] IRREDUCIBLE REPRESENTATIONS OF THE GENERALIZED SYMMETRICAL GROUP BN(M)
SAEEDULISLAM, M
GLASGOW MATHEMATICAL JOURNAL, 1987, 29 : 1 - 6

← 1 2 3 4 5 →