User LSpice

57 votes

Each mathematician has only a few tricks

answered Jun 16, 2020 at 13:51

31 votes

Accepted

(Fictive) story of a time where people reasoned only up to isomorphism

answered Oct 6, 2017 at 16:17

15 votes

Accepted

Why are coroots needed for the classification of reductive groups?

answered Oct 29, 2020 at 2:55

14 votes

Accepted

Split rank of inner forms

answered Jan 26, 2018 at 3:10

13 votes

Research topics restricted to students at top universities?

answered Nov 30, 2018 at 23:51

13 votes

Accepted

(Why) are Deligne-Lusztig varieties nonempty?

answered Aug 20, 2022 at 22:48

12 votes

Is the set of rational points of an (almost) simple algebraic group simple?

answered Feb 27, 2023 at 21:27

12 votes

What are examples of (collections of) papers which "close" a field?

answered Dec 3, 2019 at 22:32

11 votes

Accepted

Are there always more conjugacy classes in the kernel of a morphism to $Z_2$ than not?

answered May 29, 2021 at 2:28

10 votes

Accepted

Sylow subgroups of abelian profinite groups

answered Jul 31, 2020 at 16:58

10 votes

Accepted

Subtori of groups of type E6

answered Oct 29, 2018 at 1:10

10 votes

Results about the order of a group forcing a particular property.

answered Mar 6, 2010 at 18:12

10 votes

Can solvable connected Lie groups have maximal subgroups?

answered Oct 24, 2022 at 21:31

10 votes

Daunting papers/books and how to finally read them

answered Feb 1 at 13:22

9 votes

Accepted

A pair of non-conjugate subgroups: a simple proof

answered Mar 23 at 21:37

9 votes

Accepted

Symplectic group over integers and finite fields

answered Feb 11, 2016 at 18:44

9 votes

Accepted

Naïve definition of parahoric subgroup

answered Apr 23, 2018 at 9:56

9 votes

Conceptual reason why the sign of a permutation is well-defined?

answered Mar 8, 2022 at 18:02

9 votes

Why is the set of Hermitian matrices with repeated eigenvalue of measure zero?

answered Apr 13, 2022 at 22:16

8 votes

Rank one adjoint operators on a Lie algebra

answered Dec 29, 2021 at 16:47

8 votes

Accepted

Is the map $GL_n(\mathbb{Z})\to GL_n(\mathbb{Z}/2\mathbb{Z})$ surjective?

answered Mar 18, 2021 at 3:51

8 votes

Accepted

Proofs of a character identity?

answered Mar 30, 2021 at 16:33

8 votes

Every half-dimensional subspace of a symplectic vector space has a Lagrangian complement

answered May 8, 2021 at 19:34

8 votes

Accepted

Does the following statement imply convexity?

answered Oct 5, 2017 at 14:40

8 votes

Algebraically closed fields of positive characteristic

answered Feb 26, 2010 at 19:46

7 votes

Explicit formula for the trace of an unramified principal series representation of $GL(n,K)$, $K$ $p$-adic.

answered May 9, 2011 at 21:41

7 votes

Taking "Zooming in on a point of a graph" seriously

answered Feb 5, 2013 at 17:21

7 votes

Accepted

Is Howe's construction of tame supercuspidal representations independent of additive character?

answered Mar 8, 2016 at 1:13

7 votes

Accepted

Connectedness of centralizers of semisimple Lie-algebra elements under the action of a semisimple algebraic group

answered Aug 3, 2018 at 11:19

7 votes

Accepted

Classification of (not necessarily connected) compact Lie groups

answered Dec 4, 2020 at 17:26

Stack Exchange Network

201 Answers

Each mathematician has only a few tricks

(Fictive) story of a time where people reasoned only up to isomorphism

Why are coroots needed for the classification of reductive groups?

Split rank of inner forms

Research topics restricted to students at top universities?

(Why) are Deligne-Lusztig varieties nonempty?

Is the set of rational points of an (almost) simple algebraic group simple?

What are examples of (collections of) papers which "close" a field?

Are there always more conjugacy classes in the kernel of a morphism to $Z_2$ than not?

Sylow subgroups of abelian profinite groups

Subtori of groups of type E6

Results about the order of a group forcing a particular property.

Can solvable connected Lie groups have maximal subgroups?

Daunting papers/books and how to finally read them

A pair of non-conjugate subgroups: a simple proof

Symplectic group over integers and finite fields

Naïve definition of parahoric subgroup

Conceptual reason why the sign of a permutation is well-defined?

Why is the set of Hermitian matrices with repeated eigenvalue of measure zero?

Rank one adjoint operators on a Lie algebra

Is the map $GL_n(\mathbb{Z})\to GL_n(\mathbb{Z}/2\mathbb{Z})$ surjective?

Proofs of a character identity?

Every half-dimensional subspace of a symplectic vector space has a Lagrangian complement

Does the following statement imply convexity?

Algebraically closed fields of positive characteristic

Explicit formula for the trace of an unramified principal series representation of $GL(n,K)$, $K$ $p$-adic.

Taking "Zooming in on a point of a graph" seriously

Is Howe's construction of tame supercuspidal representations independent of additive character?

Connectedness of centralizers of semisimple Lie-algebra elements under the action of a semisimple algebraic group

Classification of (not necessarily connected) compact Lie groups