Representations of Truncated Current Lie Algebras
Representation Theory
2007-10-16 v2 Mathematical Physics
math.MP
Abstract
Let g denote a Lie algebra, and let T(g) denote the tensor product of g with a ring of truncated polynomials. The Lie algebra T(g) is called a truncated current Lie algebra. The highest-weight representation theory of T(g) is developed, and a reducibility criterion for the Verma modules is described.
Keywords
Cite
@article{arxiv.0706.2923,
title = {Representations of Truncated Current Lie Algebras},
author = {Benjamin J. Wilson},
journal= {arXiv preprint arXiv:0706.2923},
year = {2007}
}
Comments
5 pages. A summary of the article 'Highest-Weight Theory for Truncated Current Lie Algebras' published on the arxiv