Research Group Geometry, Topology and Group Theory

Mathematisches Institut, Universität Münster

© AG Kramer

Publications Prof. Dr. Linus Kramer

Preprints, eprints and lecture notes

1. Kramer, Linus.
   Locally compact groups.
   Manuscript in preparation.
2. Kramer, Linus.
   Metric aspects of euclidean buildings.
   Lecture Notes from the Winter Meeting 2015 on Bruhat-Tits Buildings at Imperial College, London.
3. Kramer, Linus.
   Notes on completely reducible subcomplexes of spherical buildings.
   Lecture notes from April 2008.
   arXiv:1010.0083
4. 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

54. Kramer, Linus; Stroppel, Markus.
    Hodge operators and groups of isometries of diagonalizable symmetric bilinear forms in characteristic two.
    Lin. Algebra and its Appl. 728 (2025), Pages 211 - 231.
    arXiv:2208.11326a pdf
53. Kramer, Linus; Murat García, Raquel.
    Fibrations and coset spaces for locally compact groups.
    To appear in: Transformation Groups.
    arXiv:2408.03843 pdf
52. Deninger, Christopher; Grundhöfer, Theo; Kramer, Linus.
    Weyl tensors, strongly regular graphs, multiplicative characters, and a quadratic matrix equation.
    J. Algebra 656 (2024), 170 - 195.
    arXiv:2204.02706 pdf
51. 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
50. Ciobotaru, Corina; Kramer, Linus; Schwer, Petra.
    Polyhedral compactifications, I.
    Adv. Geom. 23 (2023), no. 3, 413 - 436.
    arXiv:2002.12422 pdf
49. 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
48. Kramer, Linus.
    Some remarks on proper actions, proper metric spaces, and buildings.
    Adv. Geom. 22 (2022), no. 4, 541 - 559.
    arXiv:2109.12837 pdf
47. 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
46. 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
45. Kramer, Linus; Varghese, Olga.
    Abstract homomorphisms from locally compact groups to discrete groups.
    J. Algebra 538 (2019), 127-139.
    arXiv:1902.07962 pdf
44. 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
43. 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
42. Kramer, Linus; Schillewaert, Jeroen.
    Strongly transitive actions on euclidean buildings.
    Israel J. Math. 219 (2017), 163-170.
    arXiv:1506.03594 pdf
41. 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
40. 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
39. 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
38. 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.
    
37. 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
36. 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
35. 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
34. Kramer, Linus.
    The topology of a semisimple Lie group is essentially unique.
    Adv. Math. 228 (2011), no. 5, 2623-2633.
    arXiv:1009.5457 pdf
33. 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
32. Bornberg-Bauer, Erich; Kramer, Linus.
    Robustness versus evolvability: a paradigm revisited.
    HFSP Journal 4 (2010), no. 3, 105-108.
    pdf
31. 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
30. Kurth, Torsten; Gramlich, Ralf; Kramer, Linus.
    The real quadrangle of type E₆.
    Adv. Geom. 10 (2010), no. 3, 505-526.
    arXiv:0804.3851 pdf
29. 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
28. 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.
27. 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
26. 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
25. Kramer, Linus; Tent, Katrin.
    Asymptotic cones and ultrapowers of Lie groups.
    Bull. Symbolic Logic 10 (2004), no. 2, 175-185.
    arXiv:math/0311101 pdf
24. Kramer, Linus.
    Projective planes and their look-alikes.
    J. Differential Geom. 64 (2003), no. 1, 1-55.
    arXiv:math/0206145 pdf
23. Kramer, Linus.
    Two-transitive Lie groups.
    J. Reine Angew. Math. 563 (2003), 83-113.
    arXiv:math/0106108 pdf
22. 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
21. Kramer, Linus.
    Loop groups and twin buildings.
    Geom. Dedicata 92 (2002), 145-178.
    arXiv:math/0109128 pdf
20. Kramer, Linus.
    Homogeneous spaces, Tits buildings, and isoparametric hypersurfaces.
    Mem. Amer. Math. Soc. 158 (2002), no. 752, xvi+114 pp.
    arXiv:math/0109133
19. Grundhöfer, Theo; Knarr, Norbert; Kramer, Linus.
    Flag-homogeneous compact connected polygons. II.
    Geom. Dedicata 83 (2000), no. 1-3, 1-29.
    pdf
18. Kramer, Linus.
    The point and line space of a compact projective plane are homeomorphic.
    Math. Z. 234 (2000), no. 1, 83-102.
    pdf
17. 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.
16. Kramer, Linus.
    Compact ovoids in quadrangles. II. The classical quadrangles.
    Geom. Dedicata 79 (2000), no. 2, 179-188.
    pdf
15. Kramer, Linus; Van Maldeghem, Hendrik.
    Compact ovoids in quadrangles. I. Geometric constructions.
    Geom. Dedicata 78 (1999), no. 3, 279-300.
    pdf
14. Kramer, Linus.
    Splitting off the real line and plane.
    Results Math. 37 (2000), no. 1-2, 119.
    pdf
13. Kramer, Linus; Röhrle, Gerhard; Tent, Katrin.
    Defining k in G(k).
    J. Algebra 216 (1999), no. 1, 77-85.
    pdf
12. Kramer, Linus; Tent, Katrin; Van Maldeghem, Hendrik.
    Simple groups of finite Morley rank and Tits buildings.
    Israel J. Math. 109 (1999), 189-224.
    pdf
11. 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
10. Kramer, Linus; Tent, Katrin.
    Algebraic polygons.
    J. Algebra 182 (1996), no. 2, 435-447.
    pdf
9. Kramer, Linus.
   Holomorphic polygons.
   Math. Z. 223 (1996), no. 2, 333-341.
   pdf
8. Knarr, Norbert; Kramer, Linus.
   Projective planes and isoparametric hypersurfaces.
   Geom. Dedicata 58 (1995), no. 2, 193-202.
   pdf
7. Bödi, Richard; Kramer, Linus.
   On homomorphisms between generalized polygons.
   Geom. Dedicata 58 (1995), no. 1, 1-14.
   pdf
6. Grundhöfer, Theo; Knarr, Norbert; Kramer, Linus.
   Flag-homogeneous compact connected polygons.
   Geom. Dedicata 55 (1995), no. 1, 95-114.
   pdf
5. Kramer, Linus.
   Compact polygons.
   Dissertation, Math. Fak. Univ. Tübingen (1994), 72 pp.
   arXiv:math/0104064
4. Kramer, Linus.
   The topology of smooth projective planes.
   Arch. Math. (Basel) 63 (1994), no. 1, 85-91.
   pdf
3. Bödi, Richard; Kramer, Linus.
   Differentiability of continuous homomorphisms between smooth loops.
   Results Math. 25 (1994), no. 1-2, 13-19.
   pdf
2. 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
1. Kramer, Peter; Kramer, Linus.
   Diffraction and layer structure of a quasilattice.
   Z. Naturforsch. 40 (1985), 1162-1163.
   pdf

Comments and Errata

Last modified: 09/12/25, 08:34:31