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seen Jan 24 at 23:50

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awarded  Nice Question
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awarded  Nice Answer
Jun
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comment comprehensive presentation of the unitary dual of $SO_0(n,1)$
Also see the Math Overflow question mathoverflow.net/questions/84762
May
4
revised Simply connected algebraic groups and reductive subgroups of maximal rank
deleted 7 characters in body
May
1
revised Simply connected algebraic groups and reductive subgroups of maximal rank
removed example which wasn't equal rank
May
1
answered Simply connected algebraic groups and reductive subgroups of maximal rank
Apr
30
answered Finite Order Automorphisms on Complex Simple Lie Algebras
Apr
23
awarded  Nice Question
May
11
awarded  Yearling
Feb
22
comment Character determines the representation?
Sorry, my mistake; what is more difficult is that the character is given by a locally summable function (not that the character determines the representation). Thanks for the reference and clarification.
Feb
16
comment Character determines the representation?
The theorem is proved in the book by Harish-Chandra and van Dijk, but only for linear groups. I'm not an expert in the p-adic case, but my vague recollection is there is a nontrivial technical issue towards the end that requires linearity. The proof in Jacquet Langlands is only for GL(2), at least as stated. Maybe an expert can enlighten us.
Feb
16
awarded  Commentator
Feb
16
comment Character determines the representation?
Yes, in the p-adic case, that is what I am saying. It is known over R.
Feb
16
comment Character determines the representation?
By reductive p-adic group you presumably mean an algebraic group, such as GL(n,F), Sp(2n,F), or SO(n,F), where the result holds. Maybe this is only a comment for the experts, but as far as I know, there is no proof in the literature if G is a non-linear cover of such a group, and it might not be routine to prove this.
Feb
9
awarded  Necromancer
Jan
25
comment Does -I belong to Weyl group?
Also -I is in the Weyl group if and only if the center of the simply connected group is a 2-group
Jan
25
comment Generating a reductive real Lie group with finitely many maximal real tori
You also need $\mathbb C^*$ factors
Jan
23
awarded  Enlightened
Jan
23
awarded  Nice Answer
Jan
23
answered SO(p,q) and Howe Duality