Koszul duality and modular representations of semisimple Lie algebras
type: Item
instance of: scholarly article
title: Koszul duality and modular representations of semisimple Lie algebras
zbMATH Open document ID: 1264.17005
DOI: 10.1215/00127094-2010-034
author: Simon Riche
published in: Duke Mathematical Journal
publication date: 2010-08-11T00:00:00Z
full work available at URL: https://arxiv.org/abs/0803.2076
review text: In this paper the author proves Koszulity for all blocks of the restricted enveloping algebra of a connected, simply connected, semisimple algebraic group over an algebraically closed field of sufficiently large characteristic. In many cases the author also presents a description for the Koszul dual. Proofs use geometric descriptions of the derived module categories and explicit information about geometric counterparts of translation functors and their Koszul duals.
reviewed by: Volodymyr Mazorchuk
Mathematics Subject Classification ID: 17B10
Mathematics Subject Classification ID: 17B20
Mathematics Subject Classification ID: 17B35
Mathematics Subject Classification ID: 20G05
zbMATH DE Number: 5769088
zbMATH Keywords: Koszul algebra
zbMATH Keywords: algebraic group
zbMATH Keywords: modular representation
zbMATH Keywords: Koszul dual
zbMATH Keywords: Harish-Chandra center, localization
MaRDI profile type: Publication
OpenAlex ID: W2079009701
arXiv ID: 0803.2076
description: scientific article