FRT Construction and Equipped Quantum Linear Spaces

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dc.creatorGrillo, Sergio D.
dc.date2002-05-31
dc.date2003-02-15
dc.date.accessioned2026-07-07T04:48:49Z
dc.date.available2026-07-07T04:48:49Z
dc.descriptionWe show there exists a rigid monoidal category formed out by quantum linear spaces with an additional structure, such that FRT bialgebras and corresponding rectangular generalizations are its internal coEnd and coHom objects, respectively. This enable us to think of them as the coordinate rings of a quantum space of homomorphisms that preserve the mentioned structure. The well known epimorphisms between FRT bialgebras and quantum semigroups (defined by Manin) translate into `inclusions' of quantum spaces, as the space of endomorphisms of a metric linear space V is included in gl(V). Our study is developed for conic quantum spaces.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0205334
dc.identifierhttp://arxiv.org/abs/math/0205334
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64198
dc.subjectQuantum Algebra
dc.subjectMathematical Physics
dc.subject46L52;18D10
dc.titleFRT Construction and Equipped Quantum Linear Spaces
dc.typetext

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