Quantum unique factorisation domains

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dc.creatorLaunois, S
dc.creatorLenagan, T H
dc.creatorRigal, L
dc.date2005-01-31
dc.date.accessioned2026-07-07T05:16:32Z
dc.date.available2026-07-07T05:16:32Z
dc.descriptionWe prove a general theorem showing that iterated skew polynomial extensions of the type which fit the conditions needed by Cauchon's deleting derivations theory and by the Goodearl-Letzter stratification theory are unique factorisation rings in the sense of Chatters and Jordan. This general result applies to many quantum algebras; in particular, generic quantum matrices and quantized enveloping algebras of the nilpotent part of a semisimple Lie algebra are unique factorisation domains in the sense of Chatters. By using noncommutative dehomogenisation, the result also extends to generic quantum grassmannians.
dc.description25 pages
dc.identifierhttps://arxiv.org/abs/math/0501545
dc.identifierhttp://arxiv.org/abs/math/0501545
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74024
dc.subjectQuantum Algebra
dc.subjectRings and Algebras
dc.subject16W35; 20G42
dc.titleQuantum unique factorisation domains
dc.typetext

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