正辛杨岩系的旱田型表现

IF 0.5 4区数学 Q3 MATHEMATICS

Algebras and Representation Theory Pub Date : 2023-08-18 DOI:10.1007/s10468-023-10227-9

A. I. Molev

引用次数: 0

摘要

我们利用正交李超代数 \(\mathfrak {osp}_{N|2m}\) 的扬格的 R 矩阵呈现中的生成矩阵的高斯分解来产生它的德林费尔德型呈现。这些结果依赖于嵌入定理的一个超级版本，它允许我们在 R 矩阵呈现中找出一个与 \(\mathfrak {osp}_{N|2m}\) 相关的杨式同构的子代数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A Drinfeld-Type Presentation of the Orthosymplectic Yangians

We use the Gauss decomposition of the generator matrix in the R-matrix presentation of the Yangian for the orthosymplectic Lie superalgebra \(\mathfrak {osp}_{N|2m}\) to produce its Drinfeld-type presentation. The results rely on a super-version of the embedding theorem which allows one to identify a subalgebra in the R-matrix presentation which is isomorphic to the Yangian associated with \(\mathfrak {osp}_{N|2m-2}\).

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来源期刊

Algebras and Representation Theory 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Algebras and Representation Theory features carefully refereed papers relating, in its broadest sense, to the structure and representation theory of algebras, including Lie algebras and superalgebras, rings of differential operators, group rings and algebras, C*-algebras and Hopf algebras, with particular emphasis on quantum groups. The journal contains high level, significant and original research papers, as well as expository survey papers written by specialists who present the state-of-the-art of well-defined subjects or subdomains. Occasionally, special issues on specific subjects are published as well, the latter allowing specialists and non-specialists to quickly get acquainted with new developments and topics within the field of rings, algebras and their applications.