Hall polynomials for affine quivers

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dc.creatorHubery, Andrew
dc.date2007-03-07
dc.date2007-10-08
dc.date.accessioned2026-07-07T08:34:31Z
dc.date.available2026-07-07T08:34:31Z
dc.descriptionWe use the comultiplication to prove that Hall polynomials exist for all finite and affine quivers. In the finite and cyclic cases, this approach provides a new and simple proof of the existence of Hall polynomials. In general, these polynomials are defined with respect to the decomposition classes of Bongartz and Dudek, a generalisation of the Segre classes for square matrices.
dc.descriptionThe main alteration is in the last step of the proof of the Main Theorem, since there were difficulties in the original proof using both reflection functors and induction on dimension vector
dc.identifierhttps://arxiv.org/abs/math/0703178
dc.identifierhttp://arxiv.org/abs/math/0703178
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139462
dc.subjectRepresentation Theory
dc.subject16G20
dc.titleHall polynomials for affine quivers
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