*-polynomial identities of 4x4 upper triangular matrices with the reflection involution

2018/10/29 by Ronald Ismael Quispe Urure, Urure, Ronald Ismael Quispe
Computer Science · Engineering · Mathematics · #Advanced Topics in Algebra #FOS: Mathematics #Matrix Theory and Algorithms #Rings and Algebras (math.RA) #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.1810.12362

openalex publication_date 2018/10/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let UT₄(F) be 4× 4 upper triangular matrix algebra over a field F of characteristic zero and let A be the subalgebra of UT₄(F) linearly generated by \e_ij:1 ≤ i≤ j ≤ 4 \ ∖ e₂₃ where \e_ij : 1 ≤ i≤ j ≤ 4\ is the standard basis of UT₄(F). We describe the set of all *-polynomial identities for A with the involution defined by the reflection of second diagonal.

Related

• Polynomial identities with involution for the algebra of 3 × 3 upper triangular matrices
• Upper triangular matrices with superinvolution: identities and images of multilinear polynomials
• Cocharacters of polynomial identities of upper triangular matrices
• Central polynomials with involution for the algebra of 2\× 2 upper\n triangular matrices
• Gradings, graded identities, *-identities and graded *-identities of an algebra of upper triangular matrices