Some conjectures on modular representations of affine sl_2 and Virasoro algebra  

作　　者：Weiqiang Wang 

机构地区：[1]Department of Mathematics, University of Virginia

出　　处：《Science China Mathematics》2018年第2期385-390,共6页中国科学：数学（英文版）

基　　金：supported by the National Science Foundation of USA(Grant No. DMS1405131)

摘　　要：We conjecture an explicit bound on the prime characteristic of a field, under which the Weyl modules of affine sl_2 and the minimal series modules of Virasoro algebra remain irreducible, and Goddard-Kent-Olive coset construction for affine sl_2 is valid.We conjecture an explicit bound on the prime characteristic of a field, under which the Weyl modules of affine sl_2 and the minimal series modules of Virasoro algebra remain irreducible, and Goddard-Kent-Olive coset construction for affine sl_2 is valid.

关 键 词：Virasoro algebra affine algebras module representation 

分 类 号：O152.5[理学—数学]