Angle Measures of some Cones Associated with Finite Reflection Groups
Journal of Lie Theory, Volume 19 (2009) no. 4, pp. 767-769
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.
DOI: 10.5802/jolt.579
Classification: 17B22
Keywords: Finite reflection groups, fundamental chamber, cone of positive roots, relative angle measure
@article{JOLT_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},
     year = {2009},
     volume = {19},
     number = {4},
     doi = {10.5802/jolt.579},
     zbl = {1273.20033},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.579/}
}
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
UR  - https://jolt.centre-mersenne.org/articles/10.5802/jolt.579/
DO  - 10.5802/jolt.579
ID  - JOLT_2009_19_4_a7
ER  - 
%0 Journal Article
%A P. V. Bibikov
%A V. S. Zhgoon
%T Angle Measures of some Cones Associated with Finite Reflection Groups
%J Journal of Lie Theory
%D 2009
%P 767-769
%V 19
%N 4
%U https://jolt.centre-mersenne.org/articles/10.5802/jolt.579/
%R 10.5802/jolt.579
%F JOLT_2009_19_4_a7
P. V. Bibikov; V. S. Zhgoon. Angle Measures of some Cones Associated with Finite Reflection Groups. Journal of Lie Theory, Volume 19 (2009) no. 4, pp. 767-769. doi: 10.5802/jolt.579

Cited by Sources: