A note on De Concini and Procesi's curious identity

Details A note on De Concini and Procesi's curious identity A note on De Concini and Procesi's curious identity

2007-05-16

arxiv.org/abs/0705.2263v1

Mathematics

Representation Theory

4 pages

Scientific paper

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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