Heinrich Wefelscheid

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Heinrich Wefelscheid (born April 16, 1941 in Pernitz ; † April 18, 2020 ) was a German mathematician .

Life

Wefelscheid studied mathematics and physics at the Universities of Göttingen , Heidelberg and Hamburg from 1960 and received his doctorate in 1965 with the work On the Completion of Topological-Algebraic Structures under Helmut Karzel and Emanuel Sperner . During a guest stay at Pennsylvania State University in 1968, he came into contact with class field theory at a lecture by Helmut Hasse . In 1972 he also completed his habilitation with Sperner with investigations into almost bodies and fast areas . From the same year he was the annual administrator of the Mathematical Society in Hamburg . He held this position for four years until his appointment in 1976 to the then comprehensive university in Duisburg , which has since been renamed Gerhard-Mercator University Duisburg and is now part of the University of Duisburg-Essen .

Wefelscheid was co-editor of the communications of the Mathematical Society in Hamburg and was part of the editorial team. In the Thales publishing house, which he co-founded, the collected works of Wilhelm Blaschke and Edmund Landau as well as the monograph Theory of Fast Body by Heinz Wähling were published. He was co-editor of selected works by the WH Young and GC Young couple. In 1977, Wefelscheid and Hans-Joachim Arnold founded the journal Results in Mathematics published by Birkhäuser Verlag .

With the Dierks von Zweck Foundation he founded , numerous conferences were financially supported and mathematicians from Eastern and Southeastern Europe and China were able to do scientific research, for which the University of Sofia awarded him an honorary doctorate in 2002 .

Act

His work focused on the connection between algebra , geometry and topology . Wefelscheid dealt with topological-algebraic structures, in particular with topological fast bodies and topological Dickson fast bodies as well as topological fast areas . Together with William Kerby, another student of Karzel, he investigated the relationships between sharply double transitive groups and fast areas and sharply triple transitive groups and KT fields.

A special research area of ​​Wefelscheid was the theory of hyperbolic structures and the K-loops introduced by him and Kerby and named in honor of their teacher Helmut Karzel . After reading the physicist AA Unger, Wefelscheid noticed that K-loops can be used to represent the addition of speed in the special theory of relativity . This is because the rotation matrix, known as the Thomas rotation of two observers to another object, describes an automorphism of the three-dimensional space of the physically permissible speeds with the relativistic addition of speed and forms a K-loop. With this discovery, Wefelscheid has given the impetus for further work in this field.

Fonts

  • Completion of topological almost bodies. In: Mathematische Zeitschrift, 99 (1967), pp. 279-298. doi: 10.1007 / BF01181727
  • Investigations on fast bodies and fast areas. Habilitation thesis University of Hamburg, 1972
  • with W. Kerby: Algebraic structure assigned to a sharply triple transitive group. In: Treatises from the Mathematical Seminar of the University of Hamburg, 37 (1972), University of Berlin, Hamburg, pp. 225–235. doi: 10.1007 / BF02999699
  • with W. Kerby: Conditions of finiteness on sharply 2-transitive groups. In: aequationes mathematicae, 8 (1972), pp. 287-290. doi: 10.1007 / BF01844504
  • with W. Kerby: Remarks on fast areas and sharply double transitive groups. In: Treatises from the Mathematical Seminar of the University of Hamburg, 37 (1972), University of Berlin, Hamburg, pp. 20–29. doi: 10.1007 / BF02993896
  • Almost bodies evaluated for construction. In: Treatises from the Mathematical Seminar of the University of Hamburg, 38 (1972), University of Berlin, Hamburg, pp. 106–117. doi: 10.1007 / BF02996926
  • Evaluation and topology in almost bodies. In: Treatises from the Mathematical Seminar of the University of Hamburg, 39 (1973), University of Berlin, Hamburg, pp. 130–146. doi: 10.1007 / BF02992826
  • with W. Kerby: The maximally sub near-field of a near-domain. In: Journal of Algebra, 28 (1974), pp. 319-325. doi : 10.1016 / 0021-8693 (74) 90043-X
  • About the automorphism groups of hyperbolic structures. In: Contributions to Geometrical Algebra (1977), pp. 337–343. doi : 10.1007 / 978-3-0348-5573-0_46
  • To characterize a class of hyperbolic structures. In: Journal of Geometry, 9 (1997), pp. 127-133. doi: 10.1007 / BF01918064
  • An orthogonality relationship in hyperbolic structures. In: Treatises from the Mathematical Seminar of the University of Hamburg, 48 (1979), University of Berlin, Hamburg, pp. 225–230. doi: 10.1007 / BF02941302
  • Generalized Minkowski Geometry. In: Contributions to Geometry (1979), pp. 397-406. doi : 10.1007 / 978-3-0348-5765-9_25
  • On the planarity of KT almost bodies. In: Archiv der Mathematik, 36 (1991), pp. 302-304. doi: 10.1007 / BF01223705
  • with W. Wahl: arrangement and evaluation in almost bodies. In: Treatises from the Mathematical Seminar of the University of Hamburg, 19 (1991), University of Berlin, Hamburg, pp. 368–374. doi: 10.1007 / BF03323294
  • with H. Karzel: Groups With An Involutory Antiautomorphism And K-Loops; Application To Space-Time-World And Hyperbolic Geometry I. In: Results in Mathematics, 23 (1993), pp. 338-354. doi: 10.1007 / BF03322306
  • with A. Kreuzer: On K-Loops Of Finite Order. In: Results in Mathematics, 25 (1994), pp. 79-102, doi: 10.1007 / BF03323144
  • with H. Karzel: A geometric construction of the K-loop of a hyperbolic space. In: Geometriae Dedicata, 58 (1995), pp. 227-236. doi: 10.1007 / BF01263454
  • with H. Wähling: The group of the special fractional-affine transformations of a KT almost body. In: Archiv der Mathematik, 55 (1999), pp. 181–186. doi: 10.1007 / BF01189140
  • H.-J. Arnold, W. Benz, H. Wefelscheid (eds.): Contributions to geometric algebra. Birkhäuser, Basel 1977, ISBN 978-3-0348-5573-0 .

Web links

Individual evidence

  1. ↑ Obituary notice Prof. Dr. Dr. hc Heinrich Wefelscheid , FAZ from April 25, 2020
  2. Freiling, G .: Foreword - Prof. Wefelscheid's birthday booklet. In: Results in Mathematics, 59 (2011), p. 199. doi: 10.1007 / s00025-011-0118-9
  3. ^ Bauer, J .: Heinrich Wefelscheid on his seventieth birthday. In: Results in Mathematics, 59 (2011), pp. 201-207. doi: 10.1007 / s00025-011-0120-2
  4. ^ Kreuzer, A .: Construction of Finite Loops of Even Order. In: Fong, Y. et al. (eds.): Near-Rings and Near-Fields , Mathematics and Its Applications, 336 (1995), pp. 169-179. doi : 10.1007 / 978-94-011-0359-6_18
  5. Taherian, S.-G .: On Algebraic Structures Related to Beltrami – Klein Model of Hyperbolic Geometry. In: Results in Mathematics, 57 (2010), pp. 205–219. doi: 10.1007 / s00025-010-0021-9
  6. Im, B .: Kinematic structures of certain loops. In: Comm. Korean Math. Soc., 12 (1997), no. 3, pp. 543-550
  7. Konrad, A .: Non-euclidean geometry and K-loops. (Non-Euclidean Geometry and K-Loops). Dissertation TU Munich, 1995
  8. Kreuzer, A .: Central Bol Loops. In: Saad, G. et al. (Eds.): Nearrings, Nearfields and K-Loops , Mathematics and Its Applications, 426 (1997), pp. 301-310. doi : 10.1007 / 978-94-009-1481-0_23