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.

引用

页码：427 / 442

页数：16

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