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：
加拿大自然科学与工程研究理事会; 巴西圣保罗研究基金会;
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.
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页码：3191 / 3207
页数：17
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