Search Results - "Havlicek, Hans"
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Dimensional Lifting through the Generalized Gram–Schmidt Process
Published in Entropy (Basel, Switzerland) (14-04-2018)“…A new way of orthogonalizing ensembles of vectors by “lifting” them to higher dimensions is introduced. This method can potentially be utilized for solving…”
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Factor-Group-Generated Polar Spaces and (Multi-)Qudits
Published in Symmetry, integrability and geometry, methods and applications (01-01-2009)“…Recently, a number of interesting relations have been discovered between generalised Pauli/Dirac groups and certain finite geometries. Here, we succeeded in…”
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Die Projektivitäten und Antiprojektivitäten der Quaternionengeraden
Published in Publicationes mathematicae (Debrecen) (01-07-2022)Get full text
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Projective Metric Geometry and Clifford Algebras
Published in Resultate der Mathematik (01-12-2021)“…Each vector space that is endowed with a quadratic form determines its Clifford algebra. This algebra, in turn, contains a distinguished group, known as the…”
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The Veldkamp Space of Two-Qubits
Published in Symmetry, integrability and geometry, methods and applications (01-01-2007)“…Given a remarkable representation of the generalized Pauli operators of two-qubits in terms of the points of the generalized quadrangle of order two, W(2), it…”
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Fifty years of the Journal of Geometry
Published in Journal of geometry (01-12-2021)Get full text
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Martin Barner (1921–2020)
Published in Journal of geometry (01-08-2021)Get full text
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Clifford parallelisms and external planes to the Klein quadric
Published in Journal of geometry (01-07-2016)“…For any three-dimensional projective space P ( V ) , where V is a vector space over a field F of arbitrary characteristic, we establish a one-one…”
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Twin ''Fano-Snowflakes'' over the Smallest Ring of Ternions
Published in Symmetry, integrability and geometry, methods and applications (01-01-2008)“…Given a finite associative ring with unity, R, any free (left) cyclic submodule (FCS) generated by a unimodular (n + 1)-tuple of elements of R represents a…”
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Georg Glaeser, Hellmuth Stachel, Boris Odehnal: The Universe of Conics – From Ancient Greeks to 21st Century Developments: Springer Spektrum, 2016, viii+488 Seiten, ISBN 978-3-662-45449-7 (print), ISBN 978-3-662-45450-3 (eBook)
Published in Mathematische Semesterberichte (01-10-2017)Get full text
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A note on Clifford parallelisms in characteristic two
Published in Publicationes mathematicae (Debrecen) (01-01-2015)Get full text
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Von Staudt’s theorem revisited
Published in Aequationes mathematicae (01-06-2015)“…We establish a version of von Staudt’s theorem on mappings which preserve harmonic quadruples for projective lines over (not necessarily commutative) rings…”
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Georg Glaeser, Hellmuth Stachel, Boris Odehnal: The Universe of Conics – From Ancient Greeks to 21st Century Developments
Published in Mathematische Semesterberichte (01-01-2017)Get full text
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Linear sets in the projective line over the endomorphism ring of a finite field
Published in Journal of algebraic combinatorics (01-09-2017)“…Let PG ( 1 , E ) be the projective line over the endomorphism ring E = End q ( F q t ) of the F q -vector space F q t . As is well known, there is a bijection…”
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Obituary: Walter Benz (1931–2017)
Published in Journal of geometry (01-04-2017)Get full text
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Clifford-like parallelisms
Published in Journal of geometry (01-04-2019)“…Given two parallelisms of a projective space we describe a construction, called blending, that yields a (possibly new) parallelism of this space. For a…”
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Projective ring lines and their generalisations
Published in Electronic notes in discrete mathematics (15-05-2013)“…We give a survey on projective ring lines and some of their substructures which in turn are more general than a projective line over a ring…”
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Characterising Clifford parallelisms among Clifford-like parallelisms
Published in Beiträge zur Algebra und Geometrie (01-03-2021)“…We recall the notions of Clifford and Clifford-like parallelisms in a 3-dimensional projective double space. In a previous paper the authors proved that the…”
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Affine Metric Geometry and Weak Orthogonal Groups
Published 28-11-2023“…Mitt. Math. Ges. Hamburg 43 (2023), 47-70 By following the ideas underpinning the well-established ``homogeneous model'' of an $n$-dimensional Euclidean space,…”
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Helmut Karzel (1928–2021)
Published in Journal of geometry (01-12-2022)Get full text
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