Lengths of Finite Dimensional Representations of PBW Algebras

Details Lengths of Finite Dimensional Representations of PBW Algebras Lengths of Finite Dimensional Representations of PBW Algebras

2003-09-24

arxiv.org/abs/math/0309403v1

Mathematics

Rings and Algebras

6 pages

Scientific paper

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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