paper

Modular representation of Reductive Lie algebras and related combinatorial category

arXiv:2409.17849

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 \cite{AJS94}, where AJS category is an important role in studying the Lusztig's conjecture on characters of irreducible modules of algebraic group.

29 pages, comments are welcome!

Modular representation of Reductive Lie algebras and related combinatorial category · wovepaper