Veröffentlichungen

Mathematik

  1. Luise Unger: On the combinatorics of the set of tilting modules, Recent developments in representation theory, 227–249, Contemp. Math., 673, Amer. Math. Soc., Providence, RI, 2016
  2. D. Happel; L. Unger: Representation dimension and tilting, J. Pure Appl. Algebra 215 (2011), no. 10, 2315–2321
  3. F. Coelho; D. Happel; L. Unger: Auslander generators of iterated tilted algebras, . Proc. Amer. Math. Soc. 138 (2010), no. 5, 1587–1593
  4. D. Happel; L. Unger: Links of faithful partial tilting modules, Algebr. Represent. Theory 13 (2010), no. 6, 637–652
  5. D. Happel; L. Unger: Reconstruction of path algebras from their posets of tilting modules, Trans. Amer. Math. Soc. 361 (2009), no. 7, 3633–3660
  6. L. Unger: Combinatorial aspects of the set of tilting modules, Handbook of Tilting Theory (London Mathematical Society Lecture Note Series), Cambridge University Press (2007) 259-277
  7. D. Happel; L. Unger: Reconstruction of Path Algebras from their Posets of Tilting Modules, Transactions of the American Mathematical Society
  8. D. Happel; L. Unger: Minimal elements in the poset of tilting modules, Contemporary Mathematics Vol. 376 (2005) 281-288
  9. D. Happel; L. Unger: On a partial order of tilting modules, Algebras and Representation Theory 8(2) (2005) 147-156
  10. D. Happel; L. Unger: On the quiver of tilting modules, J. Algebra Vol. 284(2) (2005) 857-868
  11. D. Happel; L. Unger: On the set of tilting objects in hereditary categories, Fields Institute Communications Vol. 45 (2005) 141-159
  12. L. Unger; M. Ungruhe: On the genus of the graph of tilting modules, Beiträge zur Algebra und Geometrie, Vol. 45(2) (2004) 415-427
  13. F. Coelho; D. Happel; L. Unger: Tilting up algebras of small homological dimensions, J. Pure Appl. Algebra 173 (2002) 219-241
  14. I. Agoston; D. Happel; E. Lukacs; L. Unger: Finitistic dimension for standardly stratified algebras, Communications in Algebra 28 (2000) 2745-2752
  15. S. Gastaminza; D. Happel; M. I. Platzeck; M. J. Redondo; L. Unger: Global dimensions for endomorphism algebras of tilting modules, Archiv der Mathematik 75 (2000) 247-255
  16. I. Agoston; D. Happel; E. Lukacs; L. Unger: Standardly stratified algebras and tilting, Journal of Algebra 266 (2000) 144-160
  17. L. Unger: Shellability of simplicial complexes arising in representation theory, Advances in Mathematics 144 (1999) 221-246
  18. D. Happel; L. Unger: Complements and the generalized Nakayama conjecture, Proceedings of ICRA VIII, Canadian Mathematical Society 24 (1998) 293-310
  19. Joachim von zur Gathen; Silke Hartlieb: Factoring modular polynomials, J. Symbolic Comput. 26 (1998), no. 5, 583–606.
  20. D. Happel; L. Unger: On subcategories associated with tilting modules, Contemporary Mathematics 229 (1998) 181-192
  21. D. Happel; L. Unger: On selforthogonal modules which are bricks, Communications in Algebra 25 (1) (1997) 235-241
  22. D. Happel; L. Unger: Modules of finite projective dimension and cocovers, Mathematische Annalen 306 (1996) 445-457
  23. D. Happel; S. Hartlieb; O. Kerner; L. Unger: On perpendicular categories of stones over quiver algebras, Commentarii Mathematici Helvetici 71 (1996) 235-241
  24. L. Unger: The partial order of tilting modules over three-point-quiver-algebras, Proceedings of ICRA VII, Canadian Mathematical Society Conference Proceedings 18 (1996) 671-679
  25. L. Unger: The simplicial complex of tilting modules over quiver algebras, Proceedings of the London Mathematical Society (3) 73 (1996) 27-46
  26. F. Coelho; D. Happel; L. Unger: Complements to partial tilting modules, Journal of Algebra 170 (1994) 184-205
  27. Silke Hartlieb: Examples of Kerner-bijections, Comm. Algebra 22 (1994), no. 15, 6273–6277.
  28. D. Happel; L. Unger: Partial tilting modules and covariantly finite subcategories, Communications in Algebra 25 (1994) 1723-1727
  29. L. Unger: On the shellability of the simplicial of tilting modules, Proceedings of ICRA VI, Canadian Mathematical Society Conference Proceedings 14 (1993) 449-452
  30. L. Unger: On the simplicial complex of exceptional modules, Habilitationsschrift, Paderborn (1993)
  31. H. Meltzer; L. Unger: Tilting modules over the truncated symmetric algebra, Journal of Algebra 162 No.1 (1993) 72-91
  32. D. Happel; L. Unger: A family of infinite-dimensional non-selfextending bricks for wild hereditary algebras, Proceedings of ICRA V, Canadian Mathematical Society Conference Proceedings 11 (1990) 181-190
  33. L. Unger: On the number of maximal sincere modules over sincere directed algebras, Journal of Algebra 133 (1990) 211-231
  34. L. Unger: On wild tilted algebras which are squids, Archiv der Mathematik 55 (1990) 542-550
  35. D. Happel; L. Unger: Rigid transjective modules, Banach Center Publication Series 26 (1990) 311-316
  36. L. Unger: Schur modules over wild, finite dimensional path algebras with three simple modules, Journal of Pure an Applied Algebra 64 (1990) 205-222
  37. L. Unger: The concealed algebras of the minimal wild, hereditary algebras, Bayreuther Mathematische Schriften 31 (1990) 145-154
  38. D. Happel; L. Unger: Almost complete tilting modules, Proceedings of the American Mathematical Society 107, Number 3, (1989) 603-609
  39. W. W. Crawly-Boevy; L. Unger: Dimensions of Auslander-Reiten translates for representation-finite algebras, Communications in Algebra 15 (1989) 837-842
  40. D. Happel; L. Unger: Factors of concealed algebras, Mathematische Zeitschriften 201 (1989) 477-483
  41. L. Unger: Lower bounds for faithful, preinjective modules, Manuscripta Mathematica 57 (1986) 1-31
  42. L. Unger: Preinjective components of trees, Proceedings of ICRA IV, Springer Lecture Notes 1177 (1986) 328-339
  43. L. Unger: Präprojektive Komponenten von Bäumen, Dissertation, Bielefeld, (1984)

E-Learning

  1. S. Hartlieb; L. Unger; T. Voigt: Web-based register cards - a tool supporting mathematics students in distance education, in Proceedings of ED-Media 2004 - World Conference of Educational Multimedia, Hypermedia & Telecommunications, Montreal, Canada, 2005
  2. M. Bauch; S. Hartlieb; L. Unger: I-You-We: Teaching Linear Algebra the Constructivist Way, in Proceedings of ED-Media 2004 - World Conference of Educational Multimedia, Hypermedia & Telecommunications, Lugano, Switzerland, 2004
  3. M. Bauch; A. Baudry; M. Bungenstock; B. Mertsching; G. Oevel; K. Padberg; B. Thiere; L. Unger: math-kit - Ein multimedialer Baukasten für die Mathematikausbildung im Grundstudium, in SoftwareTechnikTrends, Vol. 24, No. 1, 2004
  4. M. Bauch; T. Voigt: A multimedia tool as a link between different phases in blended learning, in Extended abstract zur Online Educa Berlin 2003
  5. M. Bauch; L. Unger; T. Voigt: Computer-algebra-based calculators over the web - tools for learning and teaching mathematics in distance and face-to-face education, in Internet Accessible Mathematical Computation - Workshop at ISSAC 2003, Philadelphia, PA, USA
  6. M. Bauch; B. Thiere; L. Unger: Dynamic mathematics software delivering multimedia support in education, in Extended abstract zur Online Educa Berlin 2003
  7. M. Bauch; L. Unger: Interactive mathematics with math-kit-distance learning versus face-to-face learning, in 21st ICDE World Conference on Open Learning & Distance Education, Hong Kong, 2003
  8. L. Unger: Neue Medien in der Mathematikausbildung, in Jahrbuch 2002 der Freunde der FernUniversität, 2003, pp. 105-117
  9. M. Bauch; B. Thiere; L. Unger: Visualizing mathematics on the web - constructivist approaches in open and distance education, in 21st ICDE World Conference on Open Learning & Distance Education, Hong Kong, 2003
  10. B. Mertsching; G. Oevel; L. Unger: Web-based Teaching and Learning with math-kit, in Proc. 2nd International Conference on the teaching of mathematics, Crete, 2002
  11. S. Schiller; L. Unger: Math-kit: a multimedia project for learning and teaching mathematics, in Proc. 10th Meeting of European Women in Mathematics Malta 2001, World Scientific 2003, pp. 383-386
Lehrgebiet Algebra