Classification of Simple Cuspidal Modules Over a Lattice Lie Algebra of Witt Type

Billig Y.; Iohara K.

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Classification of Simple Cuspidal Modules Over a Lattice Lie Algebra of Witt Type

机译：在WITT型格子谎言中的简单囊型模块的分类

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摘要

Let W-pi be the lattice Lie algebra of Witt type associated with an additive inclusion pi Z(N) hooked right arrow C-2 with N > 1. In this article, the classification of simple Z(N)-graded W-pi-modules, whose multiplicities are uniformly bounded, is given.

机译：设W-pi是Witt型的格李代数，与N>1的带右箭头C-2的加性包含pi Z（N）有关。本文给出了重数一致有界的简单Z（N）分次W-pi模的分类。

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来源
《Canadian Journal of Mathematics》 |2021年第2期|共24页
作者
Billig Y.; Iohara K.;
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作者单位

Carleton Univ Sch Math &

Stat Ottawa ON Canada;

Univ Claude Bernard Lyon 1 Univ Lyon Inst Camille Jordan CNRS UMR 5208 43 Blvd 11 Novembre 1918 F-69622 Villeurbanne France;

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正文语种 eng
中图分类数学;
关键词
Lattice Lie algebra; AV-module; cuspidal module;

机译：格子谎言代数;AV模块;困惑模块;

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8. Tilting Modules for the Current Algebra of a Simple Lie Algebra [C] . Matthew Bennett, Vyjayanthi Chari Southeastern Lie Theory Workshop on Combinatorial Lie Theory and Applications . 2012

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9. Tilting Modules for the Current Algebra Associated to a Simple Lie Algebra [D] . Bennett, Matthew Lyle 2012

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10. CLASSIFICATION OF THE REAL INFINITE SIMPLE AND REAL INFINITE PRIMITIVE LIE ALGEBRAS [O] . Steven Shnider 2016

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12. Multiplet Classification of the Indecomposable Highest Weight Modules over Affine Lie Algebras and Invariant Differential Operators: The Asub(L)Sup((1)) Example [R] . Dobrev, V. K. 1985

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Classification of Simple Cuspidal Modules Over a Lattice Lie Algebra of Witt Type

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