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Lie Groups are Groups that are additionally smooth manifolds such that the multiplication and the inverse maps are smooth.
5
votes
Accepted
Is this characterization of (-1)-eigenspaces of the Weyl group of $E_6$ known?
EDIT II: Sorry to bump this again but the answer to this question can be phrased entirely in terms of finite Coxeter groups and doesn’t depend at all on the fact that we’re dealing with $\textsf{E}_6$ …
5
votes
Reg the motivation behind Lusztig-Vogan bijection
This isn't even vaguely an answer to your question but is more of a clarifying remark concerning the canonical quotient. Throughout I will write [Lus84] for Lusztig's orange book "Characters of reduct …