User Mikhail Borovoi

41 votes

Accepted

Isomorphic general linear groups implies isomorphic fields?

answered Sep 11, 2012 at 14:22

25 votes

What is known about the cohomological dimension of algebraic number fields?

answered Jan 16, 2020 at 19:39

21 votes

Cayley Transform for all reductive groups a.k.a an algebraic logarithm

answered Jul 4, 2012 at 21:14

16 votes

Accepted

In a compact lie group, can two closed connected subgroups generate a non-closed subgroup?

answered Apr 20, 2011 at 22:17

16 votes

Non-isomorphic complex Lie groups with the same exceptional Lie algebra for $\mathfrak{g_2,f_4,e_6,e_7,e_8}$?

answered Aug 23, 2020 at 15:56

15 votes

Existence of zero cycles of degree one vs existence of rational points

answered Dec 14, 2010 at 16:27

14 votes

Is there a formula for the Frobenius-Schur indicator of a rep of a Lie group?

answered Jan 7, 2016 at 15:32

12 votes

Are units of rings of functions on algebraic varieties finitely generated (mod. constants)?

answered Mar 5, 2011 at 23:44

11 votes

Does $SU(N)$ have pseudo-real representation?

answered Feb 26, 2019 at 9:55

11 votes

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Galois action on Borovoi's algebraic fundamental group

answered Dec 14 at 11:45

10 votes

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Galois cohomology class of a reductive group not coming from a torus

answered Jul 25, 2022 at 17:58

9 votes

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$N_{G}(E)/C_{G}(E)$ is the Weyl group of $G$?

answered Jul 30, 2022 at 19:35

9 votes

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Relationship between fans and root data

answered May 5, 2020 at 15:45

9 votes

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About the conjugation of semi-simple subgroups

answered May 17, 2016 at 19:48

9 votes

Real Lie groups versus real linear algebraic groups: differences in connexity and fundamental group

answered May 25, 2014 at 13:51

8 votes

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Group cohomology question, trivial Galois action on discrete Galois module means we can say what about kernel of map

answered May 20, 2016 at 9:25

8 votes

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Reflex fields of Shimura varieties

answered Dec 16, 2015 at 19:53

8 votes

When is the normalizer of the maximal torus maximal?

answered Nov 29, 2022 at 7:27

8 votes

Central isogeny, Shimura varieties and exceptional cases

answered Nov 22 at 11:54

7 votes

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Real forms of complex reductive groups

answered Sep 24, 2020 at 20:20

7 votes

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Root system of fixed point Lie sub-algebra

answered Apr 21, 2021 at 15:15

7 votes

How Much Flesh to the Bones does an Initial Online Publication need?

answered Sep 29, 2018 at 12:44

7 votes

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Conjugacy classes of involutions in compact simple Lie group

answered Aug 31, 2016 at 19:23

7 votes

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Compact dual of a noncompact Lie group

answered Mar 29, 2017 at 15:15

7 votes

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What is the algebraic fundamental groups of $SO(n)$ and $Sp(2n)$?

answered Oct 10, 2015 at 13:41

7 votes

The algebraic fundamental group of a reductive algebraic group

answered Dec 15, 2010 at 15:33

7 votes

different Shimura data with common underlying group?

answered Feb 22, 2011 at 17:54

6 votes

Proper compact connected subgroup of $Spin(n)$

answered Apr 11, 2012 at 16:16

6 votes

Elementary reference for algebraic groups

answered Sep 28, 2010 at 18:45

6 votes

Accepted

What are the symmetries of a principal homogeneous bundle?

answered Feb 10, 2013 at 21:13

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122 Answers

Isomorphic general linear groups implies isomorphic fields?

What is known about the cohomological dimension of algebraic number fields?

Cayley Transform for all reductive groups a.k.a an algebraic logarithm

In a compact lie group, can two closed connected subgroups generate a non-closed subgroup?

Non-isomorphic complex Lie groups with the same exceptional Lie algebra for $\mathfrak{g_2,f_4,e_6,e_7,e_8}$?

Existence of zero cycles of degree one vs existence of rational points

Is there a formula for the Frobenius-Schur indicator of a rep of a Lie group?

Are units of rings of functions on algebraic varieties finitely generated (mod. constants)?

Does $SU(N)$ have pseudo-real representation?

Galois action on Borovoi's algebraic fundamental group

Galois cohomology class of a reductive group not coming from a torus

$N_{G}(E)/C_{G}(E)$ is the Weyl group of $G$?

Relationship between fans and root data

About the conjugation of semi-simple subgroups

Real Lie groups versus real linear algebraic groups: differences in connexity and fundamental group

Group cohomology question, trivial Galois action on discrete Galois module means we can say what about kernel of map

Reflex fields of Shimura varieties

When is the normalizer of the maximal torus maximal?

Central isogeny, Shimura varieties and exceptional cases

Real forms of complex reductive groups

Root system of fixed point Lie sub-algebra

How Much Flesh to the Bones does an Initial Online Publication need?

Conjugacy classes of involutions in compact simple Lie group

Compact dual of a noncompact Lie group

What is the algebraic fundamental groups of $SO(n)$ and $Sp(2n)$?

The algebraic fundamental group of a reductive algebraic group

different Shimura data with common underlying group?

Proper compact connected subgroup of $Spin(n)$

Elementary reference for algebraic groups

What are the symmetries of a principal homogeneous bundle?