4,759 reputation
11427
bio website math.tifr.res.in/~venky
location India
age
visits member for 3 years, 4 months
seen 31 mins ago

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 $G$?
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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
added 1 character in body
Apr
28
awarded  Yearling
Apr
24
revised Which compact groups have finitely many irreducible representations of each dimension?
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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.