Search Results - "Havlicek, Hans"

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    Dimensional Lifting through the Generalized Gram–Schmidt Process by Havlicek, Hans, Svozil, Karl

    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 by Havlicek, Hans

    “…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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    Projective Metric Geometry and Clifford Algebras by Havlicek, Hans

    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 by Saniga, Metod

    “…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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    Clifford parallelisms and external planes to the Klein quadric by Havlicek, Hans

    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 by Saniga, Metod

    “…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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    Von Staudt’s theorem revisited by Havlicek, Hans

    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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    Linear sets in the projective line over the endomorphism ring of a finite field by Havlicek, Hans, Zanella, Corrado

    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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    Clifford-like parallelisms by Havlicek, Hans, Pasotti, Stefano, Pianta, Silvia

    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 by Havlicek, Hans

    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 by Havlicek, Hans, Pasotti, Stefano, Pianta, Silvia

    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 by Havlicek, Hans

    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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