2004/08/23 by Jeb F. Willenbring, Willenbring, Jeb F., Gregg J. Zuckerman +2
Mathematics · #17B10 #20G05 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT) #math.RT #msc:17B10 #msc:20G05
paper · pdf · doi:10.48550/arxiv.math/0408302
16 pages
arxiv created 2004/08/23 · openalex publication_date 2004/08/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The main goal of this paper is to prove the following theorem: Let \frak k be an \frak sl2-subalgebra of a semisimple Lie algebra \frak g, none of whose simple factors is of type A1. Then there exists a positive integer b(\frak k, \frak g), such that for every irreducible finite dimensional \frak g-module V, there exists an injection of \frak k-modules W → V, where W is an irreducible \frak k-module of dimension less than b(\frak k, \frak g). This result was announced in math.RT/0310140.