Alexander Premet's user avatar
Alexander Premet's user avatar
Alexander Premet's user avatar
Alexander Premet
  • Member for 11 years, 10 months
  • Last seen more than 4 years ago
17 votes
Accepted

Failure of Jacobson-Morozov in positive characteristics

16 votes
Accepted

Simple Lie algebras and Jordan decomposition

13 votes
Accepted

Are S(g) and U(g) isomorphic as g-modules for g Lie algebra over F_p ? Are S(g)^g and U(g)^g isomorphic as com.algs ?

12 votes

finite dimensional irreducible representation of finite dimensional nilpotent Lie algebra

11 votes

About the map $S(\mathfrak{g}^ * )^G\rightarrow S(\mathfrak{h}^ * )^H$ for $H < G$

10 votes

For $\mathfrak g$ A Lie algebra of type $ E_7 $, $\mathfrak h $ a Cartan subalgebra and $\Delta$ the resulting root system, does $ Aut(\mathfrak g,\mathfrak h)\rightarrow Aut(\Delta) $ split over the Weyl group?

10 votes

Semisimplicity of Lie algebra in positive characteristic

9 votes
Accepted

Commutativity and Kostant sections

8 votes
Accepted

Irreducibility of fundamental Weyl modules

7 votes

group generated by Coxeter elements

7 votes
Accepted

Smallest dimension of nontrivial representation of a simple Lie algebra over `$\mathbb{C}$`

7 votes
Accepted

Jacobson-Morozov theorem

7 votes

Can one show the equivalence of the abstract and classical Jordan decompositions for simple Lie algebras without complete reducibility?

7 votes

Lie algebra of a p-group

6 votes
Accepted

Integral lattices in Lie group representations

6 votes

Representation theory of simple Lie algebras

6 votes

Deformations of semisimple Lie algebras

5 votes
Accepted

elements in the weyl group

5 votes
Accepted

Regular elements in the torus of a group of Lie type

5 votes
Accepted

Weights of restricted modules of some Cartan type Lie algebras

5 votes

Kostant's theorem on invariant polynomials in positive characteristic

5 votes
Accepted

Rational automorphisms of semisimple algebraic groups

5 votes
Accepted

Lie algebras and non-smoothness of centralisers in bad characteristic

5 votes

A strong relationship between $\mathrm{ad}(X)$ and $1-\mathrm{Ad}_g$ when $\mathrm{Ad}_gX=X$

5 votes

Restrictions of irreducible representations of algebraic groups to root SL_2-subgroups

4 votes

Difference of adjacent dominant weights is a root?

4 votes
Accepted

Where does the algebraic closure enter into Block's Theorem?

4 votes

A question on a unipotent element in reductive algebraic groups

4 votes

representation theory of Cartan type simple algebra in positive characteristic

4 votes
Accepted

Good even grading and principal Levi type