bio | website | math.umd.edu/~jda |
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location | ||
age | ||
visits | member for | 3 years, 11 months |
seen | Jan 24 at 23:50 | |
stats | profile views | 681 |
Jun 26 |
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 |
Jan 3 |
revised |
unitary irreps of O(p,q)
added 388 characters in body |
Jan 2 |
revised |
unitary irreps of O(p,q)
added 1 characters in body; added 8 characters in body |