Open AccessA curious identity and the volume of the root spherical simplex
Author(s) -
Corrado De Concini,
Claudio Procesi
Publication year - 2006
Publication title -
rendiconti lincei matematica e applicazioni
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.824
H-Index - 28
eISSN - 1720-0768
pISSN - 1120-6330
DOI - 10.4171/rlm/460
Subject(s) - mathematics , simplex , identity (music) , simple (philosophy) , root (linguistics) , volume (thermodynamics) , cone (formal languages) , pure mathematics , combinatorics , algebra over a field , calculus (dental) , mathematical analysis , epistemology , algorithm , aesthetics , orthodontics , philosophy , quantum mechanics , linguistics , physics , medicine
We show a curious identity on root systems which gives the evaluation of thevolume of the spherical simpleces cut by the cone generated by simple roots.
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