Quasideterminants

Mathematics – Quantum Algebra

Scientific paper

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amstex; final version; to appear in Advances in Math

Scientific paper

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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