Search

MiS Preprint Repository

Delve into the future of research at MiS with our preprint repository. Our scientists are making groundbreaking discoveries and sharing their latest findings before they are published. Explore repository to stay up-to-date on the newest developments and breakthroughs.

MiS Preprint
83/2006

Chevalley's theorem for the complex crystallographic groups

Joseph Bernstein, Dimitry A. Leites and Ossip Schwarzman

Abstract

We prove that for the irreducible Coxeter complex crystallographic group $W$ the following conditions are equivalent:

a) $W$ is generated by reflections;

b) the analytic variety $X/W$ is isomorphic to a weighted projective space.

The result is of interest, for example, in application to topological conformal field theory.

Received:
Aug 22, 2006
Published:
Aug 22, 2006
MSC Codes:
32B30, 20H15, 32C40
Keywords:
Coxeter groups, invariant theory

Related publications

inJournal
2006 Journal Open Access
Joseph Bernstein and Ossip Schwarzman

Chevalley's theorem for the complex crystallographic groups

In: Journal of nonlinear mathematical physics, 13 (2006) 3, pp. 323-351