Irreducible modules of slmp in characteristic p with regular or subregular nilpotent p-characters

作者：Liu, Bin; Shu, Bin^*; Wen, Xin

来源：Journal of Algebra, 2022, 608: 52-76.

DOI：10.1016/j.jalgebra.2022.04.043

• Regular nilpotent p-characters
• Subregular nilpotent p-characters
• Standard Levi forms

Let K be an algebraically closed field of prime characteristic p. If p does not divide n, irreducible modules over sl(n) (K) for regular and subregular nilpotent representations have already known (see [10] and [9]). In this article, we investigate the question when p divides n, and precisely describe simple modules of sl(n) for regular and subregular nilpotent representations.