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 2018Show all

3 papers · 1 filter

math.RA2018★ 12 cited

Group gradings on the Lie and Jordan algebras of block-triangular matrices

Mikhail Kochetov, Felipe Yasumura

We classify up to isomorphism all gradings by an arbitrary group $G$ on the Lie algebras of zero-trace upper block-triangular matrices over an algebraically closed field of charact…

math.RA2018

On nonassociative graded-simple algebras over the field of real numbers

Yuri Bahturin, Mikhail Kochetov

We extend the loop algebra construction for algebras graded by abelian groups to study graded-simple algebras over the field of real numbers (or any real closed field). As an appli…

math.RA2018★ 10 cited

Gradings on the simple real Lie algebras of types $G_{2}$ and $D_{4}$

Alberto Elduque, Mikhail Kochetov

We classify group gradings on the simple Lie algebras of types $G_{2}$ and $D_{4}$ over the field of real numbers (or any real closed field): fine gradings up to equivalence and $G$ -gr…

Group gradings on the Lie and Jordan algebras of block-triangular matrices

On nonassociative graded-simple algebras over the field of real numbers

Gradings on the simple real Lie algebras of types G2​ and D4​

Gradings on the simple real Lie algebras of types $G_{2}$ and $D_{4}$