4,654 reputation
11326
bio website math.tifr.res.in/~venky
location India
age
visits member for 3 years
seen 7 hours ago

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


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/…
Feb
25
revised Canonical representation of $\operatorname{SL}(2,\mathbb{R})$ on $L^2(\mathbb{R}^2)$
added 36 characters in body
Feb
24
awarded  Nice Answer
Feb
18
comment orbits of linear algebraic group $G({\Bbb Q}_p)$ acting on subgroups of ${\Bbb Q}_p^n$
$G({\mathbb Z}_p)$ is compact, hence the only discrete subgroups are finite. On the other hand, $G({\mathbb Q}_p)$ doe have discrete subgroups, which, if the ${\mathbb Q}_p$ rank is high, are arithmetic, if they are of finite covolume.
Feb
18
revised Which power series have bounded integral coefficients and have an inverse given by a series having bounded integral coefficients
added 2 characters in body
Feb
17
reviewed Approve A question about Ahlfors's proof of modular function being a covering space of the twice punctured plane
Feb
17
comment orbits of linear algebraic group $G({\Bbb Q}_p)$ acting on subgroups of ${\Bbb Q}_p^n$
@Carnahan, Thanks! That was a mistake on my part. I will delete my comment.
Feb
17
revised orbits of linear algebraic group $G({\Bbb Q}_p)$ acting on subgroups of ${\Bbb Q}_p^n$
there are no discrete subgroups of ${\mathbb Q}_p^n$ hence removed the word "discrete" in the title
Feb
17
comment Which power series have bounded integral coefficients and have an inverse given by a series having bounded integral coefficients
Thank you, Roland!
Feb
17
awarded  Nice Answer
Feb
17
revised Which power series have bounded integral coefficients and have an inverse given by a series having bounded integral coefficients
edited body
Feb
17
comment Which power series have bounded integral coefficients and have an inverse given by a series having bounded integral coefficients
$n$ is a finite sum of the form $n=\sum 2^k$ where $k$ is a square. I should have written $1+16$ instead of $4+16$. Thanks for pointing this out.