Angle measures of some cones associated with finite reflection groups

Journal of Lie Theory

Volumn 19, Issue 4, 2009, Pages 767-769

  Bibikov, P V ^a   Zhgoon, V S ^b  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

^b Institute of System Research   (Russian Federation)

Author keywords

Cone of positive roots; Finite reflection groups; Fundamental chamber; Relative angle measure

Indexed keywords

EID: 77949376679     PISSN: 09495932     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (7)

1. Bibikov, P. V., Relative Angle Measure of the Dual Cone of the Fundamental Cone of a Finite Reflection Group, Uspehi Mat. Nauk (2010), to appear.
2. Bibikov, P. V., and V. S. Zhgoon, On the Waldspurger theorem, Uspehi Mat. Nauk 64 (389) (2009), 177-178.
3. -, On Tilings Defined by Discrete Reflection Groups, Izvestiya RAN. Ser. Mat. (2009), to appear.
4. De Concini, C., and C. Procesi, A curious identity and the volume of the root spherical simplex, with appendix by J. Stembridge, Mat. Appl. 17 (2006), 155-165.
5. Denham, G., A note of De Concini and Procesi's curious identity, Mat. Appl. 19 (2008), 55-63.
6. Solomon, L., Invariants of finite reflection groups, Nagoya Math. J. 22 (1963), 57-64.
7. Waldspurger, J.-L., Une remarque sur les systèmes de racines, 3. of Lie Theory 17 (2007), 597-603.