Representations of map extended Witt algebras

Sachin S Sharma,Priyanshu Chakraborty,Ritesh Kumar Pandey,S Eswara Rao

doi:10.1016/j.jalgebra.2023.10.013

Representations of map extended Witt algebras

Sachin S Sharma, Priyanshu Chakraborty + Show 2 more

https://doi.org/10.1016/j.jalgebra.2023.10.013

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Journal: Journal of Algebra

Publication Date: Oct 20, 2023

Affiliation: Indian Institute of Technology Kanpur, Institute of Mathematical Sciences, Tata Institute of Fundamental Research

#Finite Dimensional Weight Spaces #Highest Weight Modules + Show 8 more

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Abstract

In this paper, we classify irreducible modules for map 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≥2). So they are actually irreducible modules for extended Witt algebras.

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