4,729 reputation
11427
bio website math.tifr.res.in/~venky
location India
age
visits member for 3 years, 3 months
seen 8 hours ago

interested in representations of groups, algebraic groups, arithmetic groups, rigidity, and related automorphic forms. Recently interested in braid groups and configuration spaces.


Jul
26
reviewed Approve Singular cohomology groups
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?
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.
Mar
4
answered Residual finiteness: why do we care?
Mar
3
comment generalization of highest weight theorem for semisimple lie algebras
Of course, then the representation is not absolutely irreducible, and the highest weight space over the reals, is two dimensional
Mar
3
answered generalization of highest weight theorem for semisimple lie algebras
Mar
2
comment Are Zariski connected and closed semisimple subgroups of semisimple and simply connected algebraic groups again simply connected?
No. $H$ need not be simply connected
Mar
2
comment Embedding rational simple algebras in the real quaternions
See the following question; I think it is relevant.mathoverflow.net/questions/120777/…