WEYL MODULES FOR LIE SUPERALGEBRAS

被引：5

作者：

Calixto, Lucas ^{[1
,2
]}

Lemay, Joel ^{[3
]}

Savage, Alistair ^{[3
]}

机构：

[1] UNICAMP IMECC, BR-13083859 Campinas, SP, Brazil

[2] Univ Fed Minas Gerais, Dept Math, Belo Horizonte, MG, Brazil

[3] Univ Ottawa, Dept Math & Stat, Ottawa, ON, Canada

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2019年 / 147卷 / 08期

基金：

巴西圣保罗研究基金会; 加拿大自然科学与工程研究理事会;

关键词：

Lie superalgebra; basic Lie superalgebra; Weyl module; Kac module; tensor product; ALGEBRAS;

D O I：

10.1090/proc/13146

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We define global and local Weyl modules for Lie superalgebras of the form g circle times A, where A is an associative commutative unital C-algebra and g is a basic Lie superalgebra or sl(n, n), n >= 2. Under some mild assumptions, we prove universality, finite-dimensionality, and tensor product decomposition properties for these modules. These properties are analogues of those of Weyl modules in the non-super setting. We also point out some features that are new in the super case.

引用

页码：3191 / 3207

页数：17

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