Angle Measures of some Cones Associated with Finite Reflection Groups
Journal of Lie theory, Tome 19 (2009) no. 4, pp. 767-769
Voir la notice de l'article provenant de la source Heldermann Verlag
We give a generalization of "Curious Identity" of De Concini and Procesi. Our proof is based on the recent result of Waldspurger about the decomposition of the cone dual to the fundamental chamber of a finite reflection group as a disjoint union of some subcones.
Classification :
17B22
Mots-clés : Finite reflection groups, fundamental chamber, cone of positive roots, relative angle measure
Mots-clés : Finite reflection groups, fundamental chamber, cone of positive roots, relative angle measure
@article{JLT_2009_19_4_JLT_2009_19_4_a7,
author = {P. V. Bibikov and V. S. Zhgoon },
title = {Angle {Measures} of some {Cones} {Associated} with {Finite} {Reflection} {Groups}},
journal = {Journal of Lie theory},
pages = {767--769},
publisher = {mathdoc},
volume = {19},
number = {4},
year = {2009},
url = {http://geodesic.mathdoc.fr/item/JLT_2009_19_4_JLT_2009_19_4_a7/}
}
TY - JOUR AU - P. V. Bibikov AU - V. S. Zhgoon TI - Angle Measures of some Cones Associated with Finite Reflection Groups JO - Journal of Lie theory PY - 2009 SP - 767 EP - 769 VL - 19 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/JLT_2009_19_4_JLT_2009_19_4_a7/ ID - JLT_2009_19_4_JLT_2009_19_4_a7 ER -
P. V. Bibikov; V. S. Zhgoon . Angle Measures of some Cones Associated with Finite Reflection Groups. Journal of Lie theory, Tome 19 (2009) no. 4, pp. 767-769. http://geodesic.mathdoc.fr/item/JLT_2009_19_4_JLT_2009_19_4_a7/