Some generators for the algebra ofn×nmatrices
- 1 January 1977
- journal article
- research article
- Published by Taylor & Francis in Linear and Multilinear Algebra
- Vol. 5 (2) , 95-98
- https://doi.org/10.1080/03081087708817183
Abstract
In this note, we show how the algebra of n×n matrices over a field can be generated by a pair of matrices A B, where A is an arbitrary nonscalar matrix and B can be chosen so that there is the maximum degree of linear independence between the higher commutators of B with A.Keywords
This publication has 2 references indexed in Scilit:
- Kato-Taussky-Wielandt commutator relationsLinear Algebra and its Applications, 1968
- Linear relations between higher additive commutatorsProceedings of the American Mathematical Society, 1962