A note on exponents vs root heights for complex simple Lie algebras
Combinatorics
2007-05-23 v1
Abstract
We give an elementary combinatorial proof of a special case of a result due to Bazlov and Ion concerning the Fourier coefficients of the Cherednik kernel. This can be used to give yet another proof of the classical fact that for a complex simple Lie algebra, the partition formed by its exponents is dual to that formed by the numbers of positive roots at each height.
Cite
@article{arxiv.math/0609248,
title = {A note on exponents vs root heights for complex simple Lie algebras},
author = {Sankaran Viswanath},
journal= {arXiv preprint arXiv:math/0609248},
year = {2007}
}
Comments
5 pages