Lengths of Finite Dimensional Representations of PBW Algebras
Rings and Algebras
2007-05-23 v1 Representation Theory
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.
Keywords
Cite
@article{arxiv.math/0309403,
title = {Lengths of Finite Dimensional Representations of PBW Algebras},
author = {D. Constantine and M. Darnall},
journal= {arXiv preprint arXiv:math/0309403},
year = {2007}
}
Comments
6 pages