Multiplicative Invariants of Root Lattices
Commutative Algebra
2014-09-02 v1 Representation Theory
Abstract
We describe the multiplicative invariant algebras of the root lattices of all irreducible root systems under the action of the Weyl group. In each case, a finite system of fundamental invariants is determined and the class group of the invariant algebra is calculated. In some cases, a presentation and a Hironaka decomposition of the invariant algebra is given.
Keywords
Cite
@article{arxiv.1409.0453,
title = {Multiplicative Invariants of Root Lattices},
author = {Jessica Hamm},
journal= {arXiv preprint arXiv:1409.0453},
year = {2014}
}