On the lengths of pairs of complex matrices of size at most five

DOI10.1017/S0004972700035462zbMath1102.15012OpenAlexW2029308770MaRDI QIDQ5480150

Alice C. Niemeyer, Oreste Panaia, William Ellison Longstaff

Publication date: 26 July 2006

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700035462

zbMATH Keywords

wordslengthunital algebra

Mathematics Subject Classification ID

Algebraic systems of matrices (15A30) Word problems, etc. in computability and recursion theory (03D40) Linear spaces of operators (47L05)

Related Items (12)

The effect of assuming the identity as a generator on the length of the matrix algebra ⋮ ON THE LENGTHS OF PAIRS OF COMPLEX MATRICES OF SIZE SIX ⋮ Length realizability for pairs of quasi-commuting matrices ⋮ Length function and simultaneous triangularization of matrix pairs ⋮ Values of the length function for nonassociative algebras ⋮ A resolution of Paz's conjecture in the presence of a nonderogatory matrix ⋮ IRREDUCIBLE FAMILIES OF COMPLEX MATRICES CONTAINING A RANK-ONE MATRIX ⋮ On the lengths of irreducible pairs of complex matrices ⋮ An improved bound for the lengths of matrix algebras ⋮ -MINIMUM SPANNING LENGTHS AND AN EXTENSION TO BURNSIDE’S THEOREM ON IRREDUCIBILITY ⋮ THE SLOT LENGTH OF A FAMILY OF MATRICES ⋮ Algebras of slowly growing length

Cites Work

• An upper bound for the length of a finite-dimensional algebra
• On the geometry of certain isospectral sets in the full Kostant-Toda lattice
• Burnside's theorem: Irreducible pairs of transformations
• An application of the Cayley-Hamilton theorem to matrix polynomials in several variables

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