Lengths of Finite Dimensional Representations of PBW Algebras

2003/09/24 by D. Constantine, Constantine, D., M. Darnall +1
Mathematics · #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.RA #math.RT

paper · pdf · doi:10.48550/arxiv.math/0309403

6 pages

arxiv created 2003/09/24 · arxiv updated 2009/12/01

Abstract

We present a proof of an upper bound for the lengths of finite dimensional representations of algebras obeying a modified PBW property, including Lie algebras and quantum groups. The sharpness of the bound is proved and discussed.

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