Hermitian matrices over \(K\)-octonions and their diagonalizations

DOI10.1016/j.topol.2023.108575zbMath1525.15023OpenAlexW4376638651WikidataQ121365008 ScholiaQ121365008MaRDI QIDQ6053438

Marek Golasiński, Francisco Gómez Ruiz

Publication date: 27 September 2023

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2023.108575

zbMATH Keywords

quaternionsHermitian matrixformally real fieldoctonionsexceptional groupsunitary matrixPythagorean field

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Hermitian, skew-Hermitian, and related matrices (15B57) Algebraic systems of matrices (15A30) Exceptional groups (20G41) Diagonalization, Jordan forms (15A20)

Cites Work

• Matrices of quaternions
• The Principal Axis Theorem Over Arbitrary Fields
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