The quantic monoid and degenerate quantized enveloping algebras

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dc.creatorReineke, Markus
dc.date2002-06-10
dc.date.accessioned2026-07-07T04:49:01Z
dc.date.available2026-07-07T04:49:01Z
dc.descriptionWe study a monoid associated to complex semisimple Lie algebras, called the quantic monoid. Its monoid ring is shown to be isomorphic to a degenerate quantized enveloping algebra. Moreover, we provide normal forms and a straightening algorithm for this monoid. All these results are proved by a realization in terms of representations of quivers, namely as the monoid of generic extensions of a quiver with automorphism.
dc.description26 pages
dc.identifierhttps://arxiv.org/abs/math/0206095
dc.identifierhttp://arxiv.org/abs/math/0206095
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64267
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.titleThe quantic monoid and degenerate quantized enveloping algebras
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