Burnside's theorem: Irreducible pairs of transformations

DOI10.1016/j.laa.2003.12.043zbMath1059.15006OpenAlexW1969738294MaRDI QIDQ1826827

William Ellison Longstaff

Publication date: 6 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.laa.2003.12.043

zbMATH Keywords

wordsmatrix algebrainvariant subspacesirreduciblelinear transformationsspanBurnside's theoremminimum spanning length

Mathematics Subject Classification ID

Algebraic systems of matrices (15A30) Linear transformations, semilinear transformations (15A04)

Related Items (13)

The effect of assuming the identity as a generator on the length of the matrix algebra ⋮ The length function and matrix algebras ⋮ ON THE LENGTHS OF PAIRS OF COMPLEX MATRICES OF SIZE SIX ⋮ On the length of the group algebra of the dihedral group in the semi-simple case ⋮ On pairs of matrices generating matrix rings and their presentations. ⋮ A resolution of Paz's conjecture in the presence of a nonderogatory matrix ⋮ IRREDUCIBLE FAMILIES OF COMPLEX MATRICES CONTAINING A RANK-ONE MATRIX ⋮ Algebraic prime subalgebras in simple Artinian algebras. ⋮ Length computation of matrix subalgebras of special type. ⋮ On the lengths of pairs of complex matrices of size at most five ⋮ On the lengths of irreducible pairs of complex matrices ⋮ -MINIMUM SPANNING LENGTHS AND AN EXTENSION TO BURNSIDE’S THEOREM ON IRREDUCIBILITY ⋮ THE SLOT LENGTH OF A FAMILY OF MATRICES

Cites Work

• Simultaneous triangularization
• Quadratic operators and invariant subspaces
• The Invariant Subspace Lattice of a Linear Transformation

This page was built for publication: Burnside's theorem: Irreducible pairs of transformations