The Cellular Second Fundamental Theorem of Invariant Theory for Classical Groups

被引：1

作者：

Bowman, Christopher ^{[1
]}

Enyang, John ^{[2
]}

Goodman, Frederick M. ^{[3
]}

机构：

[1] Univ Kent, Sch Math Stat & Actuarial Sci, Canterbury, Kent, England

[2] City Univ London, Dept Math, London, England

[3] Univ Iowa, Dept Math, Iowa City, IA 52242 USA

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2020年 / 2020卷 / 09期

基金：

英国工程与自然科学研究理事会;

关键词：

HECKE ALGEBRAS; BRAUER; REPRESENTATIONS; WENZL; BASES;

D O I：

10.1093/imrn/rny079

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct explicit integral bases for the kernels and the images of diagram algebras (including the symmetric groups, orthogonal and symplectic Brauer algebras) acting on tensor space. We do this by providing an axiomatic framework for studying quotients of diagram algebras.

引用

页码：2626 / 2683

页数：58

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