Primitive spherical systems

Details Primitive spherical systems Primitive spherical systems

2009-09-21

arxiv.org/abs/0909.3765v2

Mathematics

Representation Theory

v1: 34 pages. v2: 70 pages

Scientific paper

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.

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