P. Koshlukov

activity

20172022

most citedGroup gradings on the Jordan algebra of upper triangular matrices

15 citations · 33 across the 10 of their papers we have counts for

collaborators

Showing math.RAShow all

11 papers · 1 filter

math.RA2022

Specht property of varieties of graded Lie algebras

Daniela Martinez Correa, Plamen Koshlukov

Let $U T_{n} (F)$ be the algebra of the $n \times n$ upper triangular matrices and denote $U T_{n} (F)^{(-)}$ the Lie algebra on the vector space of $U T_{n} (F)$ with respect to the usual brac…

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…

math.RA2020

Matrix algebras with degenerate traces and trace identities

Antonio Ioppolo, Plamen Koshlukov, Daniela La Mattina

In this paper we study matrix algebras with a degenerate trace in the framework of the theory of polynomial identities. The first part is devoted to the study of the algebra $D_{n}$ …

math.RA2020★ 9 cited

Trace identities and almost polynomial growth