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Translation planes: foundations and construction principles

The book discusses various construction principles for translation planes and spreads from a general and unifying point of view and relates them to the theory of kinematic spaces. The book is intended for people working in the field of incidence geometry and can be read by everyone who knows the bas...

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Detalles Bibliográficos
Autor principal: Knarr, Norbert
Lenguaje:eng
Publicado: Springer 1995
Materias:
Acceso en línea:https://dx.doi.org/10.1007/BFb0096310
http://cds.cern.ch/record/1691391
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author Knarr, Norbert
author_facet Knarr, Norbert
author_sort Knarr, Norbert
collection CERN
description The book discusses various construction principles for translation planes and spreads from a general and unifying point of view and relates them to the theory of kinematic spaces. The book is intended for people working in the field of incidence geometry and can be read by everyone who knows the basic facts about projective and affine planes. The methods developed work especially well for topological spreads of real and complex vector spaces. In particular, a complete classification of all semifield spreads of finite dimensional complex vector spaces is obtained.
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institution Organización Europea para la Investigación Nuclear
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publishDate 1995
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spelling cern-16913912021-04-21T21:10:19Zdoi:10.1007/BFb0096310http://cds.cern.ch/record/1691391engKnarr, NorbertTranslation planes: foundations and construction principlesMathematical Physics and MathematicsThe book discusses various construction principles for translation planes and spreads from a general and unifying point of view and relates them to the theory of kinematic spaces. The book is intended for people working in the field of incidence geometry and can be read by everyone who knows the basic facts about projective and affine planes. The methods developed work especially well for topological spreads of real and complex vector spaces. In particular, a complete classification of all semifield spreads of finite dimensional complex vector spaces is obtained.Springeroai:cds.cern.ch:16913911995
spellingShingle Mathematical Physics and Mathematics
Knarr, Norbert
Translation planes: foundations and construction principles
title Translation planes: foundations and construction principles
title_full Translation planes: foundations and construction principles
title_fullStr Translation planes: foundations and construction principles
title_full_unstemmed Translation planes: foundations and construction principles
title_short Translation planes: foundations and construction principles
title_sort translation planes: foundations and construction principles
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/BFb0096310
http://cds.cern.ch/record/1691391
work_keys_str_mv AT knarrnorbert translationplanesfoundationsandconstructionprinciples