Article thumbnail

Tilting Modules in Truncated Categories?

By Matthew Bennett and Angelo Bianchi

Abstract

Abstract. We begin the study of a tilting theory in certain truncated categories of modu-les G(Γ) for the current Lie algebra associated to a finite-dimensional complex simple Lie algebra, where Γ = P+ × J, J is an interval in Z, and P+ is the set of dominant integral weights of the simple Lie algebra. We use this to put a tilting theory on the category G(Γ′) where Γ ′ = P ′×J, where P ′ ⊆ P+ is saturated. Under certain natural conditions on Γ′, we note that G(Γ′) admits full tilting modules. Key words: current algebra; tilting module; Serre subcategory 2010 Mathematics Subject Classification: 17B70; 17B65; 17B10; 17B55

Year: 2016
OAI identifier: oai:CiteSeerX.psu:10.1.1.746.1091
Provided by: CiteSeerX
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://arxiv.org/pdf/1307.3307... (external link)
  • http://arxiv.org/pdf/1307.3307... (external link)
  • http://citeseerx.ist.psu.edu/v... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.