Canonical systems of basic invariants for unitary reflection groups
Commutative Algebra
2019-08-15 v5 Representation Theory
Abstract
It has been known that there exists a canonical system for every finite real reflection group. The first and the third authors obtained an explicit formula for a canonical system in the previous paper. In this article, we first define canonical systems for the finite unitary reflection groups, and then prove their existence. Our proof does not depend on the classification of unitary reflection groups. Furthermore, we give an explicit formula for a canonical system for every unitary reflection group.
Keywords
Cite
@article{arxiv.1310.0570,
title = {Canonical systems of basic invariants for unitary reflection groups},
author = {Norihiro Nakashima and Hiroaki Terao and Shuhei Tsujie},
journal= {arXiv preprint arXiv:1310.0570},
year = {2019}
}
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7 pages