For the pairs of quasi-commuting matrices we completely characterize natural numbers that can be realized as the lengths of these pairs of generators.
Bibliographical noteFunding Information:
The investigations of the first and the second authors are supported by Russian Science Foundation, Project 17-11-01124.The third author is supported by Einstein Foundation Berlin via Project ‘Algorithmische Lineare Algebra: Hochleistungsrechnen, Numerische Stabilität and Fehlertoleranz’.
© 2018 Elsevier Inc.
- Finite-dimensional algebras
- Lengths of sets and algebras
- Quasi-commuting matrices