Triangular algebra - Open Access .click

Linear and multilinear algebra, 2021
Let be the algebra of all dominant block upper triangular matrices over a field. In this paper, we explicitly describe all linear Lie centralizers of .
P. Ghimire
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Graded polynomial identities for the upper triangular matrix algebra over a finite field

, 2020
Let K be a finite field and let U T n ( K ) be the algebra of n × n upper triangular matrices over K . In this paper we describe the set of all G-graded polynomial identities of U T n ( K ) , where G is any group. Moreover, we describe a linear basis for
Dimas José Gonçalves, Evandro Riva
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Characterizations of Lie centralizers of triangular algebras

Linear and multilinear algebra, 2022
Let be an unital algebra over the complex field . A linear map ϕ from into itself is called a Lie centralizer at a given point if for all with ST = G. The aim of this paper is to give a description of Lie centralizers at an arbitrary but fixed point on ...
Lei Liu, Kaitian Gao
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mathematics
endomorphism rings matrix rings
abstract operator algebras on hilbert spaces

algebra and number theory
derivation
fos: mathematics

derivations, actions of lie algebras
nest algebras, csl algebras
numerical analysis