A canonical system of basic invariants of a finite reflection group
Representation Theory
2018-07-09 v4 Rings and Algebras
Abstract
A canonical system of basic invariants is a system of invariants satisfying a set of differential equations. The properties of a canonical system are related to the mean value property for polytopes. In this article, we naturally identify the vector space spanned by a canonical system of basic invariants with an invariant space determined by a fundamental antiinvariant. From this identification, we obtain explicit formulas of canonical systems of basic invariants. The construction of the formulas does not depend on the classification of finite irreducible reflection groups.
Keywords
Cite
@article{arxiv.1211.6026,
title = {A canonical system of basic invariants of a finite reflection group},
author = {Norihiro Nakashima and Shuhei Tsujie},
journal= {arXiv preprint arXiv:1211.6026},
year = {2018}
}
Comments
13 pages, to appear in Journal of Algebra