Arbeitsgruppe Geometrie, Topologie und Gruppentheorie

Mathematisches Institut, Universität Münster

© AG Kramer

Deutsch English

Publications Prof. Dr. Linus Kramer

Preprints, eprints and lecture notes

  1. Kramer, Linus; Stroppel, Markus.
    Hodge operators and groups of isometries of diagonalizable symmetric bilinear forms in characteristic two.
    arXiv:2208.11326
  2. Kramer, Linus.
    Locally compact groups.
    Manuscript in preparation.
  3. Kramer, Linus.
    Metric aspects of euclidean buildings.
    Lecture Notes from the Winter Meeting 2015 on Bruhat-Tits Buildings at Imperial College, London.
  4. Kramer, Linus.
    Notes on completely reducible subcomplexes of spherical buildings.
    Lecture notes from April 2008.
    arXiv:1010.0083
  5. Kramer, Linus; Tent, Katrin.
    Affine Λ-buildings, ultrapowers of Lie groups and Riemannian symmetric spaces: an algebraic proof of the Margulis conjecture
    A survey from 2002.
    arXiv:math/0209122

Publications

  1. Deninger, Christopher; Grundhöfer, Theo; Kramer, Linus.
    Weyl tensors, strongly regular graphs, multiplicative characters, and a quadratic matrix equation.
    To appear in J. Algebra.
    arXiv:2204.02706 pdf
  2. Kramer, Linus.
    A note on commutators in compact semisimple Lie algebras.
    Innov. Incidence Geom. 20 (2023), no. 2-3, 317 - 324.
    arXiv:2204.09913 pdf
  3. Ciobotaru, Corina; Kramer, Linus; Schwer, Petra.
    Polyhedral compactifications, I.
    Adv. Geom. 23 (2023), no. 3, 413 - 436.
    arXiv:2002.12422 pdf
  4. Kramer, Linus; Stroppel, Markus.
    Hodge operators and exceptional isomorphisms between unitary groups.
    J. Lie Theory 33 (2023), no. 1, 329–360.
    arXiv:2208.11044 pdf
  5. Kramer, Linus.
    Some remarks on proper actions, proper metric spaces, and buildings.
    Adv. Geom. 22 (2022), no. 4, 541 - 559.
    arXiv:2109.12837 pdf
  6. Hofmann, Karl H.; Kramer, Linus.
    On weakly complete universal enveloping algebras: a Poincaré-Birkhoff-Witt Theorem.
    J. Lie Theory 32 (2022), no. 3, 601-642.
    arXiv:2004.11541 pdf
  7. Hofmann, Karl H.; Kramer, Linus.
    Weakly complete group algebras of compact groups.
    J. Lie Theory 30 (2020), no. 2, 407-424.
    arXiv:1904.00806 pdf
  8. Kramer, Linus; Varghese, Olga.
    Abstract homomorphisms from locally compact groups to discrete groups.
    J. Algebra 538 (2019), 127-139.
    arXiv:1902.07962 pdf
  9. Herfort, Wolfgang; Hofmann, Karl H.; Kramer, Linus; Russo, Francesco.
    The Sylow structure of scalar automorphism groups.
    Topology and its Applications 263 (2019), 26-43.
    pdf
  10. Braun, Oskar; Hofmann, Karl H.; Kramer, Linus.
    Automatic continuity of abstract homomorphisms between locally compact and Polish groups.
    Transformation Groups 25 (2020), no. 1, 1-32.
    arXiv:1611.05801 pdf
  11. Kramer, Linus; Schillewaert, Jeroen.
    Strongly transitive actions on euclidean buildings.
    Israel J. Math. 219 (2017), 163-170.
    arXiv:1506.03594 pdf
  12. Kramer, Linus.
    On small abstract quotients of Lie groups and locally compact groups.
    Special volume dedicated to G. Pickert.
    J. Geom. 107 (2016), no. 2, 403-425.
    arXiv:1405.2711 pdf
  13. Kramer, Linus.
    Jacques Tits: "Œuvres. Collected Works, Vols. I-IV". Edited by Francis Buekenhout, Bernhard Matthias Mühlherr, Jean-Pierre Tignol, Hendrik Van Maldeghem.
    Jahresber. Dtsch. Math.-Ver. 117 (2015), no. 4, 287–294.
    pdf
  14. Hofmann, Karl H.; Kramer, Linus.
    Transitive actions of locally compact groups on locally contractible spaces.
    J. Reine Angew. Math. 702 (2015), 227-243, Erratum pp. 245-246
    arXiv:1301.5114 pdf
  15. Kramer, Linus; Lytchak, Alexander.
    Homogeneous compact geometries.
    Transformation groups 19 (2014), no. 3, 793-852.
    arXiv:1205.2342 pdf
    Erratum to: Homogeneous compact geometries.
    Transformation Groups 24 (2019), no. 2, 589–596.
  16. Kramer, Linus; Weiss, Richard M.
    Coarse equivalences of Euclidean buildings.
    With an appendix by Jeroen Schillewaert and Koen Struyve.
    Adv. Math. 253 (2014), no 1, 1-49.
    arXiv:0902.1332 pdf
  17. Grundhöfer, Theo; Kramer, Linus; Van Maldeghem, Hendrik; Weiss, Richard M.
    Compact totally disconnected Moufang buildings.
    Tohoku Math. Journal 64 (2012), no. 3, 333-360.
    arXiv:1008.5134 pdf
  18. Kramer, Linus.
    Metric properties of euclidean buildings.
    in: Global Differential Geometry
    Springer Proceedings in Mathematics, Volume 17
    Eds. C. Bär, J. Lohkamp, M. Schwarz (2011).
    arXiv:1012.2218
  19. Kramer, Linus.
    The topology of a semisimple Lie group is essentially unique.
    Adv. Math. 228 (2011), no. 5, 2623-2633.
    arXiv:1009.5457 pdf
  20. Kramer, Linus.
    On the local structure and the homology of CAT(κ) spaces and euclidean buildings.
    Advances in Geometry 11 (2011), 347-369.
    arXiv:1009.3089 pdf
  21. Bornberg-Bauer, Erich; Kramer, Linus.
    Robustness versus evolvability: a paradigm revisited.
    HFSP Journal 4 (2010), no. 3, 105-108.
    pdf
  22. Hitzelberger, Petra; Kramer, Linus; Weiss, Richard M.
    Non-discrete Euclidean buildings for the Ree and Suzuki groups.
    Amer. J. Math. 132 (2010), no. 4, 1113-1152.
    arXiv:0810.2725 pdf
  23. Kurth, Torsten; Gramlich, Ralf; Kramer, Linus.
    The real quadrangle of type E6.
    Adv. Geom. 10 (2010), no. 3, 505-526.
    arXiv:0804.3851 pdf
  24. Kramer, Linus; Tent, Katrin.
    A Maslov cocycle for unitary groups.
    Proc. Lond. Math. Soc. (3) 100 (2010), no. 1, 91-115.
    arXiv:0707.2281 pdf
  25. Kramer, Linus; Tent, Katrin.
    Ultrapowers of Lie groups, a question of Gromov, and the Margulis conjecture.
    Essays in geometric group theory, 61-77, Ramanujan Math. Soc. Lect. Notes Ser., 9, Ramanujan Math. Soc., Mysore, 2009.
  26. Kramer, Linus; Stolz, Stephan.
    A diffeomorphism classification of manifolds which are like projective planes.
    J. Differential Geom. 77 (2007), no. 2, 177-188.
    arXiv:math/0505621 pdf
  27. Kramer, Linus; Shelah, Saharon; Tent, Katrin; Thomas, Simon.
    Asymptotic cones of finitely presented groups.
    Adv. Math. 193 (2005), no. 1, 142-173.
    arXiv:math/0306420 pdf
  28. Kramer, Linus; Tent, Katrin.
    Asymptotic cones and ultrapowers of Lie groups.
    Bull. Symbolic Logic 10 (2004), no. 2, 175-185.
    arXiv:math/0311101 pdf
  29. Kramer, Linus.
    Projective planes and their look-alikes.
    J. Differential Geom. 64 (2003), no. 1, 1-55.
    arXiv:math/0206145 pdf
  30. Kramer, Linus.
    Two-transitive Lie groups.
    J. Reine Angew. Math. 563 (2003), 83-113.
    arXiv:math/0106108 pdf
  31. Kramer, Linus.
    Buildings and classical groups.
    Tits buildings and the model theory of groups (Würzburg, 2000), 59-101, London Math. Soc. Lecture Note Ser., 291, Cambridge Univ. Press, Cambridge, 2002.
    arXiv:math/0307117
  32. Kramer, Linus.
    Loop groups and twin buildings.
    Geom. Dedicata 92 (2002), 145-178.
    arXiv:math/0109128 pdf
  33. Kramer, Linus.
    Homogeneous spaces, Tits buildings, and isoparametric hypersurfaces.
    Mem. Amer. Math. Soc. 158 (2002), no. 752, xvi+114 pp.
    arXiv:math/0109133
  34. Grundhöfer, Theo; Knarr, Norbert; Kramer, Linus.
    Flag-homogeneous compact connected polygons. II.
    Geom. Dedicata 83 (2000), no. 1-3, 1-29.
    pdf
  35. Kramer, Linus.
    The point and line space of a compact projective plane are homeomorphic.
    Math. Z. 234 (2000), no. 1, 83-102.
    pdf
  36. Kramer, Linus.
    Compact ovoids in quadrangles. III. Clifford algebras and isoparametric hypersurfaces.
    Geom. Dedicata 79 (2000), no. 3, 321-339.
    pdf
    Corrections.
    Geom. Dedicata 86 (2001), no. 1-3, 249.
  37. Kramer, Linus.
    Compact ovoids in quadrangles. II. The classical quadrangles.
    Geom. Dedicata 79 (2000), no. 2, 179-188.
    pdf
  38. Kramer, Linus; Van Maldeghem, Hendrik.
    Compact ovoids in quadrangles. I. Geometric constructions.
    Geom. Dedicata 78 (1999), no. 3, 279-300.
    pdf
  39. Kramer, Linus.
    Splitting off the real line and plane.
    Results Math. 37 (2000), no. 1-2, 119.
    pdf
  40. Kramer, Linus; Röhrle, Gerhard; Tent, Katrin.
    Defining k in G(k).
    J. Algebra 216 (1999), no. 1, 77-85.
    pdf
  41. Kramer, Linus; Tent, Katrin; Van Maldeghem, Hendrik.
    Simple groups of finite Morley rank and Tits buildings.
    Israel J. Math. 109 (1999), 189-224.
    pdf
  42. Kramer, Linus.
    Octonion Hermitian quadrangles.
    Finite geometry and combinatorics (Deinze, 1997). Bull. Belg. Math. Soc. Simon Stevin 5 (1998), no. 2-3, 353-362.
    pdf
  43. Kramer, Linus; Tent, Katrin.
    Algebraic polygons.
    J. Algebra 182 (1996), no. 2, 435-447.
    pdf
  44. Kramer, Linus.
    Holomorphic polygons.
    Math. Z. 223 (1996), no. 2, 333-341.
    pdf
  45. Knarr, Norbert; Kramer, Linus.
    Projective planes and isoparametric hypersurfaces.
    Geom. Dedicata 58 (1995), no. 2, 193-202.
    pdf
  46. Bödi, Richard; Kramer, Linus.
    On homomorphisms between generalized polygons.
    Geom. Dedicata 58 (1995), no. 1, 1-14.
    pdf
  47. Grundhöfer, Theo; Knarr, Norbert; Kramer, Linus.
    Flag-homogeneous compact connected polygons.
    Geom. Dedicata 55 (1995), no. 1, 95-114.
    pdf
  48. Kramer, Linus.
    Compact polygons.
    Dissertation, Math. Fak. Univ. Tübingen (1994), 72 pp.
    arXiv:math/0104064
  49. Kramer, Linus.
    The topology of smooth projective planes.
    Arch. Math. (Basel) 63 (1994), no. 1, 85-91.
    pdf
  50. Bödi, Richard; Kramer, Linus.
    Differentiability of continuous homomorphisms between smooth loops.
    Results Math. 25 (1994), no. 1-2, 13-19.
    pdf
  51. Haase, Richard W.; Kramer, Linus; Kramer, Peter; Lalvani, Haresh.
    Polyhedra of three quasilattices associated with the icosahedral group.
    Acta Cryst. Sect. A 43 (1987), no. 4, 574-587.
    pdf
  52. Kramer, Peter; Kramer, Linus.
    Diffraction and layer structure of a quasilattice.
    Z. Naturforsch. 40 (1985), 1162-1163.
    pdf
Comments and Errata
Zuletzt geändert: 28.09.23, 08:20:52