P. Koshlukov

activity

20172026

most citedGroup gradings on the Jordan algebra of upper triangular matrices

15 citations · 39 across the 22 of their papers we have counts for

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Showing 2022 · math.RAShow all

2 papers · 2 filters

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.RA2022

Images of multilinear graded polynomials on upper triangular matrix algebras

Pedro Fagundes, Plamen Koshlukov

In this paper we study the images of multilinear graded polynomials on the graded algebra of upper triangular matrices UT_n. For positive integers q \leq n, we classify these image…