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Representations of Lie groupoids : doctoral thesisKališnik, Jure, matematikGlavna tema so Liejevi grupoidi s stališča geometrije. Vprvem delu se posvetimo študiju Morita kategorije étale Liejevih grupoidov v kontekstu nekomutativne diferencialne geometrije in pokažemo, kako ... lahko geometrične strukture, kot so na primer glavni svežnji, snopi in vektorski svežnji, predstavimo kot module nad konvolucijskimi algebrami. V drugem delu disertacije se posvetimo zvestim upodobitvam Liejevih grupoidov in njihovi povezavi s problemom predstavitve grupoidov. Konstruiramo zveste upodobitve pravih Liejevih grupoidov na separabilnih Hilbertovih prostorih in na zveznih družinah končno dimenzionalnih Hilbertovih prostorov.Type of material - dissertationPublication and manufacture - Ljubljana : [J. Kališnik], 2009Language - english, slovenianCOBISS.SI-ID - 15091801
Author
Kališnik, Jure, matematik
Other authors
Mrčun, Janez
Topics
glavni svežnji |
Hopfovi algebroidi |
konvolucijske algebre |
Liejevi grupoidi |
moduli nad konvolucijskimi algebrami |
Morita kategorija grupoidov |
predstavljivost grupoidov |
snopi |
upodobitve grupoidov |
convolution algebras |
Hopf algebroids |
Lie groupoids |
modules over convolution algebras |
Morita category of groupoids |
presentability of groupoids |
principal bundles |
representations of groupoids |
sheaves
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FMF and IMFM, Mathematical Library, Ljubljana | Ljubljana | MAKLJ |
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National and University Library, Ljubljana | Ljubljana | NUK |
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Database name | Field | Year |
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Kališnik, Jure, matematik | 25607 |
Mrčun, Janez | 11686 |
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