REPRESENTATIONS OF FINITE-DIMENSIONAL QUOTIENT ALGEBRAS OF THE 3-STRING BRAID GROUP

被引：0
|
作者：
Pyatov, Pavel [1 ,2 ]
Trofimova, Anastasia [1 ,3 ]
机构：
[1] Natl Res Univ, Higher Sch Econ, 20 Myasnitskaya St, Moscow 101000, Russia
[2] Joint Inst Nucl Res, Bogoliubov Lab Theoret Phys, Dubna 141980, Moscow Region, Russia
[3] Skolkovo Inst Sci & Technol, Ctr Adv Studies, Moscow, Russia
来源：
MOSCOW MATHEMATICAL JOURNAL | 2021年 / 21卷 / 02期
关键词：
Braid group; irreducible representations; semisimplicity; COMPLEX REFLECTION GROUPS; FREENESS CONJECTURE; HECKE ALGEBRAS;
D O I：
10.17323/1609-4514-2021-21-2-427-442
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider quotients of the group algebra of the 3-string braid group B-3 by p-th order generic polynomial relations on the elementary braids. If p = 2, 3, 4, 5, these quotient algebras are finite dimensional. We give semisimplicity criteria for these algebras and present explicit formulas for all their irreducible representations.
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页码：427 / 442
页数：16
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