Noncommutative Rational Functions and Farber's Invariants of Boundary Links

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dc.creatorRetakh, Vladimir
dc.creatorReutenauer, Christophe
dc.creatorVaintrob, Arkady
dc.date2000-04-17
dc.date.accessioned2026-07-07T04:34:47Z
dc.date.available2026-07-07T04:34:47Z
dc.descriptionIn [2] M. Farber constructed invariants of m-component boundary links with values in algebra of noncommutative rational functions. In this paper we simplify his constructions and express them by using noncommutative generalizations of determinants introduced by Gelfand and Retakh. In particular, for every finite-dimensional module N over the algebra of noncommutative polynomials of m variables we construct a characteristic rational power series chi(N). If N is an algebraically closed field of arbitrary characteristic and N is semisimple, the series chi(N) determines N.
dc.descriptionLatex, 11 pages
dc.identifierhttps://arxiv.org/abs/math/0004112
dc.identifierhttp://arxiv.org/abs/math/0004112
dc.identifierAmer. Math. Soc. Transl. (2) Vol. 194, 1999
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59039
dc.subjectGeometric Topology
dc.subjectQuantum Algebra
dc.subject68Q70; 16W30; 57M25
dc.titleNoncommutative Rational Functions and Farber's Invariants of Boundary Links
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