Primitive spherical systems
Representation Theory
2010-06-07 v2
Abstract
A spherical system is a combinatorial object, arising in the theory of wonderful varieties, defined in terms of a root system. All spherical systems can be obtained by means of some general combinatorial procedures (such as parabolic induction and wonderful fiber product) from the so-called primitive spherical systems. Here we classify primitive spherical systems. As an application, we prove that the quotients of a spherical system are in correspondence with the so-called distinguished subsets of colors.
Cite
@article{arxiv.0909.3765,
title = {Primitive spherical systems},
author = {P. Bravi},
journal= {arXiv preprint arXiv:0909.3765},
year = {2010}
}
Comments
v1: 34 pages. v2: 70 pages