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Quasideterminants

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arxiv math/0208146 v4 pith:VMAB36OS submitted 2002-08-21 math.QA math.RA

Quasideterminants

I. Gelfand , S. Gelfand , V. Retakh , R. Wilson This is my paper
classification math.QA math.RA
keywords algebraquasideterminantscommutativemainorganizingbelievedefineddeterminant
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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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Cited by 1 Pith paper

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  1. Yangian Doubles and off-Shell Bethe Vectors

    nlin.SI 2026-07 unverdicted novelty 6.0

    Off-shell Bethe vectors are constructed via Yangian double currents and verified to satisfy defining properties previously used for on-shell vectors in ggo-invariant models.