The Relations of Inner and Outer Differential Calculi on Quantum Groups

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dc.creatorZweydinger, Peter
dc.date1998-08-21
dc.date1998-08-27
dc.date.accessioned2026-07-07T05:25:46Z
dc.date.available2026-07-07T05:25:46Z
dc.descriptionThe differential caluli $(Gamma,d)$ on quantum groups are classified due to the property of the generating element $X$ of its differential $d$. There are, on the one hand differential caluli which contain this element $X$ in the basis of one- forms that span $Gamma$, called Inner Differential Calculi. On the other hand, one has the differential caluli which do not contain the generating element $X$ of its differential $d$, thus they are called Outer Differential Calculi. We show that this two classes of differential caluli, for a given quantum group ${\cal A}$, are related by homomorphisms, which map the elements of one class on elements of the other class.
dc.description21 pages, LaTeX Revised version, with correction of several misprints and a slight reformulation
dc.identifierhttps://arxiv.org/abs/math/9808095
dc.identifierhttp://arxiv.org/abs/math/9808095
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77309
dc.subjectQuantum Algebra
dc.titleThe Relations of Inner and Outer Differential Calculi on Quantum Groups
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