Canonical Systems of Basic Invariants for Unitary Reflection Groups
Printed: Sep 2016
It has been known that there exists a canonical system for every
finite real reflection group. The first and the third authors
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
Furthermore, we give an explicit formula for a canonical system
for every unitary reflection group.
basic invariant, invariant theory, finite unitary reflection group
13A50 - Actions of groups on commutative rings; invariant theory [See also 14L24]
20F55 - Reflection and Coxeter groups [See also 22E40, 51F15]