映射满环面李代数的可积模

IF 1.1 3区数学 Q1 MATHEMATICS

Linear Algebra and its Applications Pub Date : 2025-09-03 DOI:10.1016/j.laa.2025.08.022

Pradeep Bisht, Punita Batra

引用次数: 0

摘要

本文研究了有限维权空间的映射满环面李代数的可积表示的范畴Cfin的不可约对象。这些表示是单点求值模，因此对于底层的全环面代数是不可约可积模。

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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Integrable modules of map full Toroidal Lie algebras

In this paper, we study the irreducible objects of the category

C_{f i n}

of integrable representations for map full Toroidal Lie algebras with finite-dimensional weight spaces. These representations turn out to be single point evaluation modules and hence are irreducible-integrable modules for the underlying full Toroidal algebras.

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来源期刊

Linear Algebra and its Applications 数学-应用数学

CiteScore

2.20

自引率

9.10%

发文量

333

审稿时长

13.8 months

期刊介绍： Linear Algebra and its Applications publishes articles that contribute new information or new insights to matrix theory and finite dimensional linear algebra in their algebraic, arithmetic, combinatorial, geometric, or numerical aspects. It also publishes articles that give significant applications of matrix theory or linear algebra to other branches of mathematics and to other sciences. Articles that provide new information or perspectives on the historical development of matrix theory and linear algebra are also welcome. Expository articles which can serve as an introduction to a subject for workers in related areas and which bring one to the frontiers of research are encouraged. Reviews of books are published occasionally as are conference reports that provide an historical record of major meetings on matrix theory and linear algebra.