A curious identity and the volume of the root spherical simplex
Claudio Procesi
Università di Roma La Sapienza, ItalyCorrado De Concini
Università di Roma La Sapienza, Italy
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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. In the appendix John Stembridge gives a conceptual proof of our identity.
Cite this article
Claudio Procesi, Corrado De Concini, A curious identity and the volume of the root spherical simplex. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 17 (2006), no. 2, pp. 155–165
DOI 10.4171/RLM/460