User Venkataramana

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What is the difference between p-adic Lie groups and linear algebraic groups over p-adic fields?

answered Jan 30, 2015 at 3:34

9 votes

Reference for the Brauer-Nesbitt theorem

answered Oct 27, 2021 at 7:32

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is there a p-adic implicit function theorem?

answered Jul 13, 2014 at 11:41

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What does the $p$-adic closure of an arithmetic lattice look like?

answered Sep 11, 2018 at 2:37

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Non-torsion part of the abelianisation of congruence subgroups

answered Nov 22, 2018 at 11:27

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Restriction of irreducible unitary representation to normal subgroup of finite index

answered Jul 21, 2016 at 0:18

8 votes

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Property of lattices in Lie groups

answered Feb 24, 2013 at 9:05

7 votes

how many Q-forms of SL_n(R) are there for a given Q-rank

answered Jan 12, 2013 at 11:17

7 votes

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finite index subgroup of a fuchsian group

answered Mar 13, 2013 at 9:52

7 votes

What is the difference between an automorphic form and a modular form?

answered Mar 17, 2013 at 14:45

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conjugacy classes in anisotropic semisimple groups

answered Jan 10, 2014 at 12:09

7 votes

Why are anisotropic tori compact?

answered Feb 25, 2017 at 4:11

7 votes

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$G(k)/H(k)$ as a submanifold of $G/H(k)$

answered Nov 11, 2018 at 7:18

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Automorphisms of homogeneous space $F_4/P_{\{\beta_2\}}$ over the exceptional group $F_4$

answered Sep 16, 2018 at 14:13

7 votes

Lebesgue measure theory applications

answered Aug 10, 2018 at 16:02

7 votes

Kernel of the character of congruence groups

answered Aug 18, 2014 at 6:50

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Do representations of real semisimple algebraic group have to be algebraic?

answered Sep 30, 2015 at 3:00

7 votes

An infinite profinite group such that any $p$-adic representation has finite image

answered Jun 9, 2022 at 7:12

7 votes

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Is the group of integer points of a simple real linear algebraic group a maximal closed subgroup?

answered Oct 14, 2021 at 3:24

6 votes

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Is every finite subgroup the integer points of a linear algebraic group?

answered Mar 8, 2022 at 13:10

6 votes

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If $G$ is compact, $H \leq G$ open, $V$ an irreducible $H$-rep, is $\text{Ind}_H^G$ semisimple?

answered Jul 24, 2014 at 15:02

6 votes

Gamma-function analogues for Gauss sums

answered Oct 28, 2014 at 14:31

6 votes

Lattices of PU(n,1) with large abelianization

answered Jul 29, 2018 at 15:46

6 votes

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Inclusion of multiplicative group of one local field into the idele class group is a closed embedding, but inclusion of more than one isn't?

answered Sep 12, 2018 at 9:37

6 votes

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Congruence subgroups in arithmetic lattices of $\mathrm{SO}(n,1)$

answered Nov 22, 2018 at 8:54

6 votes

units in distinct division algebras over number fields---are they definitely not isomorphic as abstract groups?

answered Feb 28, 2017 at 13:25

6 votes

Which unimodular matrices are integer combinations of permutations?

answered Oct 4, 2016 at 4:39

6 votes

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Subgroups of $Sp(2n,\mathbb{R})$ between $Sp(2n,\mathbb{Z})$ and some arithmetic group

answered Oct 13, 2016 at 11:17

6 votes

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Characterisation of Q-rank 1

answered Jan 14, 2014 at 14:37

6 votes

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subgroups of $\mathrm{Sp}_{2g}(\mathbb{Z})$ generated by powers of transvections

answered Jul 4, 2013 at 20:38

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167 Answers

What is the difference between p-adic Lie groups and linear algebraic groups over p-adic fields?

Reference for the Brauer-Nesbitt theorem

is there a p-adic implicit function theorem?

What does the $p$-adic closure of an arithmetic lattice look like?

Non-torsion part of the abelianisation of congruence subgroups

Restriction of irreducible unitary representation to normal subgroup of finite index

Property of lattices in Lie groups

how many Q-forms of SL_n(R) are there for a given Q-rank

finite index subgroup of a fuchsian group

What is the difference between an automorphic form and a modular form?

conjugacy classes in anisotropic semisimple groups

Why are anisotropic tori compact?

$G(k)/H(k)$ as a submanifold of $G/H(k)$

Automorphisms of homogeneous space $F_4/P_{\{\beta_2\}}$ over the exceptional group $F_4$

Lebesgue measure theory applications

Kernel of the character of congruence groups

Do representations of real semisimple algebraic group have to be algebraic?

An infinite profinite group such that any $p$-adic representation has finite image

Is the group of integer points of a simple real linear algebraic group a maximal closed subgroup?

Is every finite subgroup the integer points of a linear algebraic group?

If $G$ is compact, $H \leq G$ open, $V$ an irreducible $H$-rep, is $\text{Ind}_H^G$ semisimple?

Gamma-function analogues for Gauss sums

Lattices of PU(n,1) with large abelianization

Inclusion of multiplicative group of one local field into the idele class group is a closed embedding, but inclusion of more than one isn't?

Congruence subgroups in arithmetic lattices of $\mathrm{SO}(n,1)$

units in distinct division algebras over number fields---are they definitely not isomorphic as abstract groups?

Which unimodular matrices are integer combinations of permutations?

Subgroups of $Sp(2n,\mathbb{R})$ between $Sp(2n,\mathbb{Z})$ and some arithmetic group

Characterisation of Q-rank 1

subgroups of $\mathrm{Sp}_{2g}(\mathbb{Z})$ generated by powers of transvections