Virasoro代数的多项式模对sl2(C)的约束

IF 0.4 4区数学 Q4 MATHEMATICS

Algebra Colloquium Pub Date : 2022-07-26 DOI:10.1142/s1005386722000372

Matthew Ondrus, Emilie Wiesner

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引用次数: 0

摘要

李代数[公式:见原文]可以很自然地看作是无限维Virasoro李代数的一个子代数，因此考虑这两个代数的表示理论之间的联系是很自然的。本文探讨了Virasoro代数的某些诱导模对[公式:见文]的限制。具体来说，我们考虑了由所谓的多项式子代数导出的Virasoro模，并证明了这些模的限制导致了常见模的扭曲版本，如Verma模和Whittaker模。

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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The Restriction of Polynomial Modules for the Virasoro Algebra to sl2(C)

The Lie algebra [Formula: see text] may be regarded in a natural way as a subalgebra of the infinite-dimensional Virasoro Lie algebra, so it is natural to consider connections between the representation theory of the two algebras. In this paper, we explore the restriction to [Formula: see text] of certain induced modules for the Virasoro algebra. Specifically, we consider Virasoro modules induced from so-called polynomial subalgebras, and we show that the restriction of these modules results in twisted versions of familiar modules such as Verma modules and Whittaker modules.

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来源期刊

Algebra Colloquium 数学-数学

CiteScore

0.60

自引率

0.00%

发文量

625

审稿时长

15.6 months

期刊介绍： Algebra Colloquium is an international mathematical journal founded at the beginning of 1994. It is edited by the Academy of Mathematics & Systems Science, Chinese Academy of Sciences, jointly with Suzhou University, and published quarterly in English in every March, June, September and December. Algebra Colloquium carries original research articles of high level in the field of pure and applied algebra. Papers from related areas which have applications to algebra are also considered for publication. This journal aims to reflect the latest developments in algebra and promote international academic exchanges.