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Representations of loop extended Witt algebras

In this paper, we classify irreducible modules for loop extended Witt algebras with finite dimensional weight spaces. They turn out to be either modules with uniformly bounded weight spaces or highest weight modules. We further prove that all these modules are single point evaluation modules (\(n \g...

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Bibliographic Details
Published in:arXiv.org 2022-12
Main Authors: Sharma, Sachin S, Chakraborty, Priyanshu, Pandey, Ritesh Kumar, Rao, S Eswara
Format: Article
Language:English
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Summary:In this paper, we classify irreducible modules for loop extended Witt algebras with finite dimensional weight spaces. They turn out to be either modules with uniformly bounded weight spaces or highest weight modules. We further prove that all these modules are single point evaluation modules (\(n \geq 2\)). So they are actually irreducible modules for extended Witt algebras.
ISSN:2331-8422