Category 𝒞_{𝓀} of multi-loop algebra representations versus modular representations: Questions of G. Lusztig

Kumar, Shrawan

doi:10.1090/ert/675

Category ${\mathscr {C}}_{k}$ of multi-loop algebra representations versus modular representations: Questions of G. Lusztig
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by Shrawan Kumar;

Represent. Theory 28 (2024), 483-497

DOI: https://doi.org/10.1090/ert/675

Published electronically: November 12, 2024

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Abstract:

Lusztig defined an abelian category ${\mathscr {C}}_{k}$ of a class of representations of a multi-loop algebra and asked various questions connecting it to the modular representation theory of simple algebraic groups in char. $p>0$. The aim of this paper is to show that some of these questions have negative answer.

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