Super, quantum and non-commutative species

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dc.creatorDiaz, Rafael
dc.creatorPariguan, Eddy
dc.date2005-09-28
dc.date2009-05-27
dc.date.accessioned2026-07-07T13:18:20Z
dc.date.available2026-07-07T13:18:20Z
dc.descriptionWe introduce an approach to the categorification of rings, via the notion of distributive categories with negative objects, and use it to lay down categorical foundations for the study of super, quantum and non-commutative combinatorics. Via the usual duality between algebra and geometry, these constructions provide categorifications for various types of affine spaces, thus our works may be regarded as a starting point towards the construction of a categorical geometry.
dc.description43 pages, 12 figures
dc.identifierhttps://arxiv.org/abs/math/0509674
dc.identifierhttp://arxiv.org/abs/math/0509674
dc.identifierAfrican Diaspora Journal of Mathematics. Volume 8, Number 1, pp. 90-130 (2009)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/231397
dc.subjectCategory Theory
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titleSuper, quantum and non-commutative species
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