Constructing Graded Lie Algebras
Representation Theory
2007-05-23 v1 Rings and Algebras
Abstract
The Z-grading determined by a long simple root of an affine or finite type Lie algebra arises from an adjoint or cominuscule representation of a lower rank semi-simple complex Lie algebra. Analysis of the relationship between the grading and the representation leads to an extension of Kac's construction of nontwisted affine Lie algebras.
Cite
@article{arxiv.math/0412179,
title = {Constructing Graded Lie Algebras},
author = {Meighan I. Dillon},
journal= {arXiv preprint arXiv:math/0412179},
year = {2007}
}
Comments
44 pages, 2 figures