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arXiv · 0909.3765

Primitive spherical systems

P. Bravi
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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.

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P. Bravi. 2010-06-04. Primitive spherical systems. https://arxiv.org/abs/0909.3765

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