Lengths of cyclic algebras and commutative subalgebras of quaternion matrices

DOI10.1016/j.laa.2021.07.010OpenAlexW3185685598MaRDI QIDQ1979389

Yanyan Li

Publication date: 2 September 2021

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

Full work available at URL: https://doi.org/10.1016/j.laa.2021.07.010

zbMATH Keywords

matrix algebradivision algebracyclic algebrareal quaternionslength of an algebra

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Commutativity of matrices (15A27) Finite-dimensional division rings (16K20)

Cites Work

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• Commutative matrix subalgebras and length function
• An upper bound for the length of a finite-dimensional algebra
• An improved bound for the lengths of matrix algebras
• The lengths of the quaternion and octonion algebras
• The length function and matrix algebras
• Division Algebras and Wireless Communication
• An application of the Cayley-Hamilton theorem to matrix polynomials in several variables
• The maximum dimension of a Lie nilpotent subalgebra of $\boldsymbol {\mathbb {M}_n(F)}$ of index $\boldsymbol {m}$
• Quaternions and matrices of quaternions

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