M. Kochetov

activity

20052026

most citedGroup Gradings on Simple Lie Algebras of Type "A"

47 citations · 177 across the 33 of their papers we have counts for

collaborators

Showing 2010 · math.RAShow all

3 papers · 2 filters

math.RA2010★ 12 cited

Weyl groups of fine gradings on matrix algebras, octonions and the Albert algebra

Alberto Elduque, Mikhail Kochetov

Given a grading $Γ : A = \oplus_{g \in G} A_{g}$ on a nonassociative algebra $A$ by an abelian group $G$ , we have two subgroups of the group of automorphisms of $A$ : the automorphisms tha…

math.RA2010★ 1 cited

Gradings on the exceptional Lie algebras $F_{4}$ and $G_{2}$ revisited

Alberto Elduque, Mikhail Kochetov

All gradings by abelian groups are classified on the following algebras over an algebraically closed field of characteristic not 2: the simple Lie algebra of type $G_{2}$ (characteri…

math.RA2010

Group gradings on restricted Cartan type Lie algebras

Yuri Bahturin, Mikhail Kochetov

For a given abelian group G, we classify the isomorphism classes of G-gradings on the simple restricted Lie algebras of types W(m;1) and S(m;1) (m>=2), in terms of numerical and gr…

Weyl groups of fine gradings on matrix algebras, octonions and the Albert algebra

Gradings on the exceptional Lie algebras F4​ and G2​ revisited

Group gradings on restricted Cartan type Lie algebras

Gradings on the exceptional Lie algebras $F_{4}$ and $G_{2}$ revisited