A curious identity and the volume of the root spherical simplex
Corrado De Concini
Università di Roma La Sapienza, ItalyClaudio Procesi
Università di Roma La Sapienza, Italy
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
Corrado De Concini, Claudio Procesi, 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