P. Koshlukov

activity

20122026

most citedGroup gradings on the Jordan algebra of upper triangular matrices

15 citations · 50 across the 25 of their papers we have counts for

collaborators

Showing 2021Show all

4 papers · 1 filter

math.RA2021★ 6 cited

$Z$ -graded identities of the Lie algebras $U_{1}$ in characteristic 2

Claudemir Fidelis, Plamen Koshlukov

Let $K$ be any field of characteristic two and let $U_{1}$ and $W_{1}$ be the Lie algebras of the derivations of the algebra of Laurent polynomials $K [t, t^{- 1}]$ and of the polynomial…

math.RA2021

A note on $Z$ -gradings on the Grassmann algebra and Elementary Number Theory

Alan Guimarães, Claudemir Fidelis, Plamen Koshlukov

Let $E$ be the Grassmann algebra of an infinite dimensional vector space $L$ over a field of characteristic zero. In this paper, we study the $Z$ -gradings on $E$ having th…

math.RA2021★ 1 cited

$Z$ -graded identities of the Lie algebras $U_{1}$

Claudemir Fidelis, Plamen Koshlukov

Let $K$ be an infinite field of characteristic different from two and let $U_{1}$ be the Lie algebra of the derivations of the algebra of Laurent polynomials $K [t, t^{- 1}]$ . The algeb…

math.RA2021

Gradings on the algebra of triangular matrices as a Lie algebra: revisited

Plamen Koshlukov, Felipe Yukihide Yasumura

We investigate the group gradings on the algebra of upper triangular matrices over an arbitrary field, viewed as a Lie algebra. These results were obtained a few years early by the…

Z-graded identities of the Lie algebras U1​ in characteristic 2

A note on Z-gradings on the Grassmann algebra and Elementary Number Theory

Z-graded identities of the Lie algebras U1​

Gradings on the algebra of triangular matrices as a Lie algebra: revisited

$Z$ -graded identities of the Lie algebras $U_{1}$ in characteristic 2

A note on $Z$ -gradings on the Grassmann algebra and Elementary Number Theory

$Z$ -graded identities of the Lie algebras $U_{1}$