bio | website | math.tifr.res.in/~venky |
---|---|---|
location | India | |
age | ||
visits | member for | 3 years, 4 months |
seen | 31 mins ago | |
stats | profile views | 2,784 |
interested in representations of groups, algebraic groups, arithmetic groups, rigidity, and related automorphic forms. Recently interested in braid groups and configuration spaces.
Aug
24 |
reviewed | Approve Annihilators of elements in symmetric algebras |
Aug
5 |
reviewed | Approve Computing the Galois group of a polynomial |
Jul
31 |
revised |
How to associate a proper parabolic subgroup of a real s.s Lie group $G$ to a non-trivial unipotent element in a non uniform lattice in $G$?
added 47 characters in body |
Jul
31 |
comment |
Can we have many 1-dimensional rep, and very few high dimensional reps in a finite group?
you are right, victor. I was thinking only of Heisenberg group over ${\mathbb F}_2$. |
Jul
30 |
revised |
How to associate a proper parabolic subgroup of a real s.s Lie group $G$ to a non-trivial unipotent element in a non uniform lattice in $G$?
added 570 characters in body |
Jul
30 |
answered | How to associate a proper parabolic subgroup of a real s.s Lie group $G$ to a non-trivial unipotent element in a non uniform lattice in $G$? |
Jul
11 |
comment |
Reference request: proofs of the theorems in the paper On the representation of the group GL(n, K) where K is a local field
they have a paper in the Janos Bolyai conference where there are detailed proofs |
Jun
26 |
comment |
Does the proof of Picard's theorem become simpler by increasing the number of points that are not attained?
why do you wish to know this? |
Jun
19 |
comment |
Does this extension of Hodge structures split over $\mathbb{Q}$?
this extension may be viewed as modules over the Mumford-Tate group $G$ associated to $H^1$ of the curve. $G$ is reductive since the curve is smooth projective. Hence the extension splits |
Jun
18 |
comment |
minimal polynomial of unipotents in orthogonal group
I think (I made a hasty calculation) all odd $d$ less than $2l$ and all even $d$ less than or equal to $l$ will appear |
Jun
18 |
comment |
minimal polynomial of unipotents in orthogonal group
this can again be read off from SL(2) representation theory. If a rep of SL(2) is to preserve a non-degenerate quadratic form, then the multiplicity of an even (dimensional) irreducible representation must be even. This is the only constraint. Now take the principal SL(2) in a product of these symplectic and orthogonal groups and the unipotent of SL(2) in the product is your general unipotent. The $d$ is the largest dimensional irrep of SL(2) occurring in this even dimensional rep. |
Jun
18 |
answered | minimal polynomial of unipotents in orthogonal group |
Jun
13 |
reviewed | Approve M is an R-module which is not finitely generated. is it true that $\inf \{ i| H^i_I(M)\neq 0 \}\le ht_M I?$ |
May
2 |
awarded | Excavator |
May
2 |
revised |
fundamental groups of curves
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Apr
28 |
awarded | Yearling |
Apr
24 |
revised |
Which compact groups have finitely many irreducible representations of each dimension?
added 93 characters in body |
Apr
24 |
answered | Which compact groups have finitely many irreducible representations of each dimension? |
Apr
19 |
comment |
How do we see the rank of the braid group?
if by rank you mean minimal number of generators, then the braid group is two generated and hence has rank two. |
Mar
11 |
comment |
every element with eigenvalue 1
Every connected compact simple Lie group acts on its adjoint representation with the property that $1$ is an eigenvalue for every element. |