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arXiv · 2212.04904

Representations of loop extended Witt algebras

Sachin S. Sharma·Priyanshu Chakraborty·Ritesh Kumar Pandey·S. Eswara Rao
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Abstract

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.

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BibTeXRIS

Sachin S. Sharma, Priyanshu Chakraborty, Ritesh Kumar Pandey, S. Eswara Rao. 2022-12-09. Representations of loop extended Witt algebras. https://arxiv.org/abs/2212.04904

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