Publication details

A classification of generalized root systems

authored by
Michael Cuntz, B. Mühlherr

Dimitrov and Fioresi introduced an object that they call a generalized root system. This is a finite set of vectors in a euclidean space satisfying certain compatibilities between angles and sums and differences of elements. They conjecture that every generalized root system is equivalent to one associated to a restriction of a Weyl arrangement. In this note we prove the conjecture and provide a complete classification of generalized root systems up to equivalence.

Institute of Algebra, Number Theory and Discrete Mathematics
External Organisation(s)
Justus Liebig University Giessen
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E-pub ahead of print
Electronic version(s) (Access: Open)