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

摘要

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.

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