User Paul Levy

7 votes

Finite Order Automorphisms on Complex Simple Lie Algebras

answered Mar 2, 2013 at 22:20

6 votes

Accepted

Centralizers of subtori in reductive groups, derived subgroups

answered May 20, 2017 at 11:58

5 votes

Accepted

Constructing symmetric invariants of the exceptional simple Lie algebra as restrictions

answered Nov 29, 2015 at 13:04

5 votes

Accepted

Simply connected algebraic groups and reductive subgroups of maximal rank

answered Apr 5, 2013 at 20:00

4 votes

Accepted

Number of Richardson orbits in simple Lie algebras of types $E_n$?

answered Jul 3, 2014 at 10:51

4 votes

Uniform proof of dimension formula for minimal special nilpotent orbit?

answered Aug 12, 2014 at 8:57

4 votes

Accepted

Prove: Lie algebra generated by two $n\times n$ shift matrices is $\mathfrak{so}(n,\mathbb{C})$ ($n$ odd) or $\mathfrak{sp}(n,\mathbb{C})$ ($n$ even)

answered Sep 5, 2021 at 8:27

3 votes

Accepted

Centralizers of semisimple subgroups

answered Sep 5, 2021 at 13:03

3 votes

Accepted

The upper bounds on rank $ 2 $ real matrices

answered Dec 1, 2021 at 23:38

3 votes

Accepted

degrees of the invariants for the action of $SL(V)$ on $\wedge^4V$

answered Feb 27, 2013 at 20:13

3 votes

Accepted

Calculation with weights of $E_6$

answered Jul 20, 2014 at 10:36

3 votes

Accepted

Affine analog of the theory of sheets

answered Jan 29, 2016 at 21:46

3 votes

The integer structure of twice inverse of Cartan matrix and $Z_2$-group of symmetry of Dynkin diagram

answered May 23, 2017 at 21:53

2 votes

The normalised form for the twisted Kac-Moody algebra

answered May 25, 2017 at 10:18

2 votes

An upper bound for skew symmetric rank 2 matrices

answered Dec 15, 2017 at 11:04

2 votes

Accepted

Computing the inner automorphism group of a finite Lie algebra

answered Feb 17, 2018 at 18:59

2 votes

Accepted

What is this Lie algebra?

answered Apr 17, 2016 at 21:59

2 votes

Vanishing of power of nilpotent operator $\mathrm{ad} \, \;e$ in different characteritics

answered May 5, 2016 at 20:37

2 votes

Invariants of polynomial algebras on infinite G-modules

answered Jul 20, 2014 at 18:37

2 votes

Computing tangent spaces of resolutions to Slodowy slices

answered Jul 4, 2014 at 13:01

2 votes

Find all finite dimensional simple quotients of a possibly infinite dimensional Lie algebra generated by three elements

answered May 12, 2021 at 22:31

2 votes

Number of involutions in finite reductive groups

answered Aug 20, 2021 at 11:39

1 vote

Find all finite dimensional simple Lie algebras satisfying certain conditions

answered May 13, 2021 at 10:26

1 vote

Nilpotent elements of index $2$ in group algebra $FA_4$

answered Sep 24, 2021 at 11:05

1 vote

Accepted

Unipotent orbits and intersection with Levi and pseudo-Levi subgroups

answered Feb 11, 2022 at 22:49

1 vote

Accepted

The identity connected component of centralizers of unipotent orbits

answered Mar 12, 2022 at 18:19

1 vote

Homomorphisms from binary polyhedral group to compact Lie groups

answered Nov 2 at 16:39

1 vote

Casimir operators for Jacobi Lie algebra

answered Apr 25, 2017 at 22:42

1 vote

Double centralizer in special linear algebra

answered Sep 24, 2019 at 19:55

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29 Answers

Finite Order Automorphisms on Complex Simple Lie Algebras

Centralizers of subtori in reductive groups, derived subgroups

Constructing symmetric invariants of the exceptional simple Lie algebra as restrictions

Simply connected algebraic groups and reductive subgroups of maximal rank

Number of Richardson orbits in simple Lie algebras of types $E_n$?

Uniform proof of dimension formula for minimal special nilpotent orbit?

Prove: Lie algebra generated by two $n\times n$ shift matrices is $\mathfrak{so}(n,\mathbb{C})$ ($n$ odd) or $\mathfrak{sp}(n,\mathbb{C})$ ($n$ even)

Centralizers of semisimple subgroups

The upper bounds on rank $ 2 $ real matrices

degrees of the invariants for the action of $SL(V)$ on $\wedge^4V$

Calculation with weights of $E_6$

Affine analog of the theory of sheets

The integer structure of twice inverse of Cartan matrix and $Z_2$-group of symmetry of Dynkin diagram

The normalised form for the twisted Kac-Moody algebra

An upper bound for skew symmetric rank 2 matrices

Computing the inner automorphism group of a finite Lie algebra

What is this Lie algebra?

Vanishing of power of nilpotent operator $\mathrm{ad} \, \;e$ in different characteritics

Invariants of polynomial algebras on infinite G-modules

Computing tangent spaces of resolutions to Slodowy slices

Find all finite dimensional simple quotients of a possibly infinite dimensional Lie algebra generated by three elements

Number of involutions in finite reductive groups

Find all finite dimensional simple Lie algebras satisfying certain conditions

Nilpotent elements of index $2$ in group algebra $FA_4$

Unipotent orbits and intersection with Levi and pseudo-Levi subgroups

The identity connected component of centralizers of unipotent orbits

Homomorphisms from binary polyhedral group to compact Lie groups

Casimir operators for Jacobi Lie algebra

Double centralizer in special linear algebra