The integral Schur-Weyl-Sergeev duality

被引：2

作者：

Gu, Haixia ^{[1
]}

Li, Zhenhua ^{[2
]}

Lin, Yanan ^{[2
]}

机构：

[1] Huzhou Univ, Sch Sci, Huzhou 313000, Peoples R China

[2] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2022年 / 226卷 / 09期

关键词：

Queer Lie superalgebra; Sergeev superalgebra; Realization; Queer Schur superalgebra; Schur-Weyl-Sergeev duality; REPRESENTATIONS;

D O I：

10.1016/j.jpaa.2022.107044

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Degenerating the quantum queer Schur superalgebra Q(q)(n, r; R) to the case q = 1, the queer Schur superalgebra Q(n, r) is obtained. In this article, we reconstruct the universal enveloping algebra U(q(n)) of the queer Lie superalgebra q(n) via Q(n, r), and achieve another explanation of the Schur-Weyl-Sergeev duality. Finally, we depict the Schur-Weyl-Sergeev duality over Z. (C) 2022 Elsevier B.V. All rights reserved.

引用

页数：45

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