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
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.