Prof. Dr. Max Horn

AG Algebra, Geometrie und Computeralgebra (AGAG)
Department of Mathematics
University of Kaiserslautern-Landau (RPTU)
Gottlieb-Daimler-Straße 48
67663 Kaiserslautern

Building 48, room 430
Phone: +49 (631) 205-2730
Email: mhorn [at] rptu.de


Software


Research Interests

Research statement


Publications

  1. Ralf Gramlich, Max Horn, Werner Nickel
    The complete Phan-type theorem for $Sp(2n,q)$
    J. Group Theory 9 (2006), no. 5, 603–626
    PDF – DOI
  2. Ralf Gramlich, Max Horn, Werner Nickel
    Odd-dimensional orthogonal groups as amalgams of unitary groups. Part 2: machine computations
    J. Algebra 316 (2007), no. 2, 591–607
    DOI – program source code
  3. Max Horn
    On the Phan system of the Schur cover of $SU(4,3^2)$
    Designs, Codes and Cryptography 47 (2008), 243–247
    PDF – DOI
  4. Ralf Gramlich, Max Horn, Antonio Pasini, Hendrik Van Maldeghem
    Intransitive geometries and fused amalgams
    J. Group Theory 11 (2008), 443–464
    arXiv – DOI – program source code
  5. Tom De Medts, Ralf Gramlich, Max Horn
    Iwasawa decompositions of split Kac-Moody groups
    J. Lie Theory 19 (2009), no. 2, 311–337
    arXiv – URL
  6. Ralf Gramlich, Max Horn, Bernhard Mühlherr
    Abstract involutions of algebraic groups and of Kac-Moody groups
    J. Group Theory 14 (2011), 213–249
    arXiv – DOI
  7. Hans Cuypers, Max Horn, Jos in 't panhuis, Sergey Shpectorov
    Lie algebras and 3-transpositions
    J. Algebra 368 (2012), 21–39
    arXiv – DOI – program source code
  8. Bettina Eick, Max Horn, Seiran Zandi
    Schur multipliers and the Lazard correspondence
    Archiv der Mathematik 99 (2012), no. 3, 217–226
    DOI
  9. Bettina Eick, Max Horn
    The construction of finite solvable groups revisited
    J. Algebra 408 (2014), 166–182
    arXiv – DOI
  10. Max Horn, Seiran Zandi
    Second cohomology of Lie rings and the Schur multiplier
    Intl. J. Group Theory 3 (2014), no. 2, 9–20
    arXiv – URL
  11. Max Horn, Ralf Köhl
    Cartan-Bott periodicity for the real $E_n$ series (appendix to "Generalized spin representations" by Guntram Hainke, Ralf Köhl, and Paul Levy)
    Münster J. of Math 8 (2015), 181–210
    arXiv – DOI – URL
  12. Max Horn, Reed Nessler, Hendrik Van Maldeghem
    Simple Connectivity in Polar Spaces
    Forum Mathematicum 28 (2015), no. 3, 491–505
    DOI – program source code
  13. Amir Farahmand Parsa, Max Horn, Ralf Köhl
    Isomorphisms and rigidity of arithmetic Kac-Moody groups
    J. Lie Theory 26 (2016), no. 2, 1079–1105
    URL
  14. Matthias Grüninger, Max Horn, Bernhard Mühlherr
    Moufang twin trees of prime order
    Adv. Math. 302 (2016), 1–24
    arXiv – DOI
  15. David Ghatei, Max Horn, Ralf Köhl, Sebastian Weiß
    Spin covers of maximal compact subgroups of Kac-Moody groups, and Spin-extended Weyl groups
    J. Group Theory 20 (2017), no. 3, 401–504
    arXiv – DOI
  16. Bettina Eick, Max Horn, Alexander Hulpke
    Constructing groups of ‘small’ order: Recent results and open problems
    Chapter in "Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory", Springer (2017), –
    PDF – DOI – URL
  17. Walter Freyn, Tobias Hartnick, Max Horn, Ralf Köhl
    Kac-Moody symmetric spaces
    Münster J. of Math 13 (2020), 1–114
    arXiv – DOI – URL
  18. Max Horn
    Decompositions of Kac-Moody groups
    in preparation
    arXiv

Conference proceedings

  1. Bettina Eick, Max Horn
    Computing polycyclic quotients of finitely (L-)presented groups via Groebner bases
    ICMS'10 Proceedings of the Third international congress conference on Mathematical software

Other (non-refereed) publications

  1. Mohamed Barakat, Max Horn, Frank Lübeck, Oleksandr Motsak, Max Neunhöffer, Hans Schönemann
    The GAP package SingularInterface.
    Computeralgebra-Rundbrief 55 (2014), 29–33
    PDF

Past projects