Denominator identities for the periplectic Lie superalgebra

被引：6

作者：

Hoyt, Crystal ^{[1
]}

Im, Mee Seong ^{[2
,3
]}

Reif, Shifra ^{[4
]}

机构：

[1] Univ Haifa, Dept Math, Haifa, Israel

[2] US Mil Acad, Dept Math Sci, West Point, NY 10996 USA

[3] US Naval Acad, Dept Math, Annapolis, MD 21402 USA

[4] Bar Ilan Univ, Dept Math, Ramat Gan, Israel

来源：

JOURNAL OF ALGEBRA | 2021年 / 567卷

关键词：

Periplectic Lie superalgebra; Weyl character formula; Denominator identity; Kac-Wakimoto character formula; Supercharacters; Kac modules; REPRESENTATIONS; SIMPLICITY;

D O I：

10.1016/j.jalgebra.2020.09.030

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove denominator identities for the periplectic Lie superalgebra p(n), thereby completing the problem of finding denominator identities for all simple classical finite-dimensional Lie superalgebras. (C) 2020 Elsevier Inc. All rights reserved.

引用

页码：459 / 474

页数：16

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