Noncommutative geometry and dual coalgebras

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dc.creatorBruyn, Lieven Le
dc.date2008-05-15
dc.date.accessioned2026-07-07T09:39:09Z
dc.date.available2026-07-07T09:39:09Z
dc.descriptionIn arXiv:math/0606241v2 M. Kontsevich and Y. Soibelman argue that the category of noncommutative (thin) schemes is equivalent to the category of coalgebras. We propose that under this correspondence the affine scheme of a k-algebra A is the dual coalgebra A^o and draw some consequences. In particular, we describe the dual coalgebra A^o of A in terms of the A-infinity structure on the Yoneda-space of all the simple finite dimensional A-representations.
dc.identifierhttps://arxiv.org/abs/0805.2377
dc.identifierhttp://arxiv.org/abs/0805.2377
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161062
dc.subjectRings and Algebras
dc.subjectQuantum Algebra
dc.titleNoncommutative geometry and dual coalgebras
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