Central polynomials with involution for the algebra of 2 × 2 upper triangular matrices

Ronald Ismael Quispe Urure; Dimas José Gonçalves

doi:10.1080/03081087.2019.1648374

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Central polynomials with involution for the algebra of 2 × 2 upper triangular matrices

Ronald Ismael Quispe Urure Dimas José Gonçalves

Year: 2019 Journal: Linear and Multilinear Algebra Vol: 69 (10)Pages: 1889-1901 Publisher: Taylor & Francis

DOI: 10.1080/03081087.2019.1648374

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Abstract

Let F be a field of characteristic different from 2, and let UT2(F) be the algebra of 2×2 upper triangular matrices over F. For every involution of the first kind on UT2(F), we describe the set of all ∗-central polynomials for this algebra.

Keywords:

Mathematics Involution (esoterism) Triangular matrix Pure mathematics Algebra over a field Combinatorics Filtered algebra

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Advanced Topics in Algebra

Physical Sciences → Mathematics → Algebra and Number Theory

Algebraic structures and combinatorial models

Physical Sciences → Mathematics → Geometry and Topology

Advanced Differential Equations and Dynamical Systems

Physical Sciences → Mathematics → Geometry and Topology

Central polynomials with involution for the algebra of 2 × 2 upper triangular matrices

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