BGG category $\mathcal{O}$ and $\mathbb{Z}$-graded representation theory
Representation Theory
2021-10-19 v2
Abstract
We give an introduction to the -graded representation theory of the BGG category of a complex semisimple Lie algebras, with an emphasis on Soergel's combinatorial functor, definitions of -graded duality functors and definitions of -graded translation functors.
Cite
@article{arxiv.2106.12114,
title = {BGG category $\mathcal{O}$ and $\mathbb{Z}$-graded representation theory},
author = {Jun Hu},
journal= {arXiv preprint arXiv:2106.12114},
year = {2021}
}