A curious identity and the volume of the root spherical simplex

2006/02/13 by C. De Concini, De Concini, C., C. Procesi +1
Mathematics · #20F55 #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT) #math.CO #math.RT #msc:20F55

paper · pdf · doi:10.48550/arxiv.math/0602279

arxiv created 2006/03/08 · arxiv updated 2009/12/01

Abstract

We show a curious identity on root systems which gives the evaluation of the volume of the spherical simpleces cut by the cone generated by simple roots.

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