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visits | member for | 1 year, 11 months |
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interested in representations of groups, algebraic groups, arithmetic groups, rigidity, and related automorphic forms. Recently interested in braid groups and configuration spaces.
Mar 29 |
comment |
Non existence of cyclic infinite linear algebraic groups
@Starr: another thing. The norm map is not like a valuation map. It rarely specializes, at the level of $L^*$ into $k^*$, as a map of $T'(k)$ onto $\mathbb Z$ |
Mar 29 |
comment |
Non existence of cyclic infinite linear algebraic groups
@Starr; No, that is not what I am doing. There is a finite kernel map from $T'$ into the anisotropic torus $T$ and a surjection from the anisotropic torus to $R^1({\mathbb G}_m=T'$; this implies that the group of norm one elements (if we assume $G(k)=\mathbb Z$) in $l^*$ is also $\mathbb Z$ up to finite kernel and cokernel; that is impossible. |
Mar 29 |
comment |
Non existence of cyclic infinite linear algebraic groups
@Cornulier, Any such torus maps onto a torus f the form $T'=R^1_{l/k}({\mathbb G}_m$, and contains such an anisotropic torus $T'$. We need only prove it when $T'=T$, and this is really like the case $k^*$ (with a little more work. |
Mar 29 |
revised |
Non existence of cyclic infinite linear algebraic groups
added 603 characters in body |
Mar 29 |
comment |
Non existence of cyclic infinite linear algebraic groups
@Jason,thank you. All I am saying is that over $K$, the group is a product of mult and add groups (not over the smaller field $k$). The group of $k$ rational points, in case add factors are involved, cannot be $\mathbb Z$; in case only mult factors are involved, we will have to use that such a group, after multiplying by a suitable product of $R_{l/k}({\mathbb G }_m$, where $R$ iw thw Weil restriction of scalars. |
Mar 28 |
reviewed | Approve suggested edit on If y forms Pythagorean triples with two different x, can some other y also form Pythagorean triples with those two x? |
Mar 28 |
revised |
Non existence of cyclic infinite linear algebraic groups
edited body |
Mar 28 |
revised |
Non existence of cyclic infinite linear algebraic groups
gave some more detailsof the proof |
Mar 28 |
answered | Non existence of cyclic infinite linear algebraic groups |
Mar 23 |
reviewed | Approve suggested edit on Holomorphic vector field on Fano Kähler–Einstein manifold |
Mar 14 |
answered | Automorphism group of flag manifolds? |
Mar 7 |
revised |
Does there exist a function such that $\int_{\mathbb{R}_+^{\star} } t^nf(t)dt=0$?
deleted 1 characters in body |
Mar 6 |
reviewed | Approve suggested edit on Erdős-Straus with 4 terms |
Mar 3 |
comment |
Root space decomposition
This is discussed in Helgason's book on symmetric spaces. |
Feb 23 |
answered | abelian varieties with the same CM type are isogenous |
Feb 18 |
reviewed | Approve suggested edit on Twin Prime Conjecture Reference |
Feb 14 |
awarded | Custodian |
Feb 14 |
reviewed | Approve suggested edit on Examples of non-split algebraic groups |
Jan 27 |
comment |
Convergence of a Trigonometric Series
@Ethan,I think you should change it, stating what it is that you want; as it stands, Noam Elkies has answered the question. |
Jan 26 |
revised |
Irreducible representations of compact groups
added 134 characters in body |