A note on De Concini and Procesi's curious identity

2007/05/16 by Graham Denham, Denham, Graham
Mathematics · #20F55 #52C35 #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT) #math.CO #math.RT #msc:20F55 #msc:52C35

paper · pdf · doi:10.48550/arxiv.0705.2263

4 pages

arxiv created 2007/05/16 · arxiv updated 2009/12/01

Abstract

We give a short, case-free and combinatorial proof of de Concini and Procesi's formula for the volume of the simplicial cone spanned by the simple roots of any finite root system. The argument presented here also extends their formula to include the non-crystallographic root systems.

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