Modular representation of Reductive Lie algebras and related combinatorial category

Abstract

We introduce and study a ``combinatorial" category related to the representations of reduced enveloping algebras of reductive Lie algebras in ``standard Levi form". It is compatible with the so-called AJS category in AJS94, where AJS category is an important role in studying the Lusztig's conjecture on characters of irreducible modules of algebraic group.

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