für 53.10€ kaufen ··· 9783847338574 ··· 10361426 ··· The thesis is divided into two parts one for dimension 2 and the other for dimension 3. Part one of the thesis generalizes the de_nition of an n-dimensional HQFT in terms of a monoidal functor from a rigid symmetric monoidal category X_Cobn to any monoidal category A. In particular, 2-dimensional HQFTs with target K(G,1) taking values in A are generated from any Turaev G-crossed system in A and vice-versa. This is the generalization of Turaev`s theory into a purely categorical set-up. Part two of the thesis generalizes the concept of a group-coalgebra, Hopf group-coalgebra, crossed Hopf group-coalgebra and quasitriangular Hopf group-coalgebra over a group scheme. Quantum double of a crossed Hopf group-scheme coalgebra is constructed in the a_ne case and conjectured for non-a_ne case. We can construct 3-dimensional HQFTs from modular crossed G-categories. The category of representations of a quantum double of a crossed Hopf group-coalgebra is a ribbon(quasitriangular) crossed group-category. Hence generates 3-dimensional HQFTs under certain conditions if the category becomes modular. However, systematic _nding of modular crossed G-categories is largely open. Hersteller: LAP Lambert Academic Publishing Marke: LAP Lambert Academic Publishing EAN: 9783847338574 Kat: Hardcover/Naturwissenschaften, Medizin, Informatik, Technik/Mathematik Lieferzeit: Sofort lieferbar Versandkosten: Ab 20¤ Versandkostenfrei in Deutschland Icon: https://www.inforius-bilder.de/bild/?I=ipXhI9C4pjNgCy5p0970IT6Nh%2FIGhfy3Yv2ssDSB1V8%3D Bild:
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