论文标题

类别$ {\ MATHSCR {C}} _​​ {K}多环代数表示与模块化表示:G。Lusztig的问题

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

论文作者

Kumar, Shrawan

论文摘要

Lusztig定义了一个Abelian类别$ {\ Mathscr {C}} _​​ {K} $的一类多环代数表示,并询问了Char中简单代数组的模块化表示理论的各种问题。 p> 0。本文的目的是证明其中一些问题有负面答案。

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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