Constructing Graded Lie Algebras
表示论
2007-05-23 v1 环与代数
摘要
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.
引用
@article{arxiv.math/0412179,
title = {Constructing Graded Lie Algebras},
author = {Meighan I. Dillon},
journal= {arXiv preprint arXiv:math/0412179},
year = {2007}
}
备注
44 pages, 2 figures