Representations of general linear groups and categorical actions of Kac-Moody algebras

Autor:	Losev, Ivan
Rok vydání:	2012
Předmět:	Mathematics - Representation Theory Mathematics - Combinatorics Mathematics - Category Theory 18D99 05E10 (Primary) 16G99 17B10 20G05 (Secondary)
Druh dokumentu:	Working Paper
Popis:	This is an expanded version of the lectures given by the author on the 3rd school "Lie algebras, algebraic groups and invariant theory" in Togliatti, Russia. In these notes we explain the concept of a categorical Kac-Moody action by studying an example of the category of rational representations of a general linear group in positive characteristic. We also deal with some more advanced topics: a categorical action on the polynomial representations and crystals of categorical actions. Comment: 20 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1209.1067 Zobrazit plný text záznamu View this record from Arxiv