Multiplicity-Free Representations of Divergence-Free Lie Algebras
Quantum Algebra
2010-12-17 v1 Representation Theory
Abstract
Divergence-free Lie algebras (also known as the special Lie algebras of Cartan type) are Lie algebras of volume-preserving transformation groups. They are simple in generic case. Dokovic and Zhao found a certain graded generalization of them. In this paper, we classify all the irreducible and indecomposable multiplicity-free modules of the simple generalized divergence-free Lie algebras.
Keywords
Cite
@article{arxiv.1012.3626,
title = {Multiplicity-Free Representations of Divergence-Free Lie Algebras},
author = {Ling Chen},
journal= {arXiv preprint arXiv:1012.3626},
year = {2010}
}
Comments
52 pages, 1 figure