Quasideterminants
Quantum Algebra
2007-05-23 v4 Rings and Algebras
Abstract
The determinant is a main organizing tool in commutative linear algebra. In this review we present a theory of the quasideterminants defined for matrices over a division algebra. We believe that the notion of quasideterminants should be one of main organizing tools in noncommutative algebra giving them the same role determinants play in commutative algebra.
Cite
@article{arxiv.math/0208146,
title = {Quasideterminants},
author = {I. Gelfand and S. Gelfand and V. Retakh and R. Wilson},
journal= {arXiv preprint arXiv:math/0208146},
year = {2007}
}
Comments
amstex; final version; to appear in Advances in Math