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Quasideterminants

量子代数 2007-05-23 v4 环与代数

摘要

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.

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引用

@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}
}

备注

amstex; final version; to appear in Advances in Math