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Aug 31, 2013 at 20:15 vote accept emiliocba
Aug 15, 2013 at 23:45 comment added Vít Tuček OK. Just to let you know. A similar problem in different setting is considered in the eighth chapter of Huang, Pandzic - Dirac operators in representation theory.
Aug 15, 2013 at 10:16 comment added emiliocba After Jim Humphreys and Dan Petersen's answers, it seems that such formula does not exists in general. However, I still think that it's possible when $\Gamma$ is inside the maximal torus (in particular $\Gamma$ is abelian).
Aug 14, 2013 at 20:00 comment added Vít Tuček What makes you think such a formula is possible? How are discrete subgroups of compact Lie groups connected to root systems?
Aug 14, 2013 at 19:27 answer added Dan Petersen timeline score: 3
Aug 14, 2013 at 15:44 history edited Jim Humphreys
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Aug 14, 2013 at 15:41 answer added Jim Humphreys timeline score: 5
Aug 14, 2013 at 14:44 history asked emiliocba CC BY-SA 3.0