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Karin Erdmann

Mathematical Institute
24-29 St. Giles
Oxford OX1 3LB
UK

Phone: 01865-273529
Fax: 01865-273583

erdmann at maths.ox.ac.uk

FPSAC 2009 Hagenberg.

  • The file of the lecture.
  • Here the pictures to go with the lecture.
  • These are some references (related to questions which were asked)

  • photo (Gregynog June 2001)

    Croquet party 2008

    Summer 2006

    The Representation Theorists (and a few others, Oxford June 2002)

    Banff 2005

    Introduction to Homological Algebra (TCC HT 2012)

  • Slides for chapter 1
  • Problem sheet 1
  • Slides for chapter 2
  • Slides for chapter 3
  • Problem sheet 2
  • Slides for chapter 4
  • Notes lecture 1/2/2012

    Lecture courses

    New: Institute Notes `Algebras'. Available from the reception

  • Suggestions for past Finals questions: ok

    (If some unknown term appears somewhere, then just ignore the relevant part).
  • 1994-C2-qu I1 (except the first paragraph), 1997-b2-qu3, 1998-b2-qu 3, 2000-b2-qu2 and qu3; 2001-b2-qu 3; 2002-b2-qu2 and qu3. As well 2002-c3-b1. 2003-DD1. 2004-BB1 and BB2. 2005-b2, the first part: all questions (except chain conditions). All questions from the first part of 2006-B2.

  • New book

  • Introduction to Lie algebras For corrections see errata

    Graduate students

    RTN Liegrits - New Positions

  • pdf

    Representation Theory Seminar

    BLOC

    Research interests

    Representation theory: Symmetric groups, general linear groups, Schur algebras. Quasi-hereditary algebras. Restricted enveloping algebras. Homological algebra, stable module category, Auslander-Reiten theory. Hochschild cohomology of algebras.
    List of recent publications
    1. (Book, with M. Wildon) Introduction to Lie algebras. Springer, SUMS series (2006).
    2. (with J.A. Green and M. Schocker) Appendix to Second Edition of SLN 830. (Schensted Correspondence and Littelmann Paths), Springer 2006.
    3. (with S. Doty, D. Nakano) Extensions of modules over Schur algebras, symmetric groups and Hecke algebras. Algebras and Representation Theory 7(1) (2004)67-99.
    4. Type A Hecke algebras and related algebras. Arch. Math. 82 (2004) 385-390.
    5. (with M. Holloway) Rank varieties and projectivity for a class of local algebras. Math. Z. 247(3) (2004), 441-460.
    6. (with T. Holm, O. Iyama, J. Schröer) Radical embeddings and representation dimension. Adv. Math. 185 (2004), 159-177.
    7. (with A.E. Parker) On the global and good filtration dimensions of quasi-hereditary algebras. J. Pure Applied Algebra 194 (2004) 95-111.
    8. (with S. Doty, A. Henke) A generic algebra associated to certain Hecke algebras. J. Algebra 278(2004), 502-531.
    9. (with M. Holloway, N. Snashall, O. Solberg and R. Taillefer) Support varieties for selfinjective algebras. K-theory 33(2004), 67-87.
    10. (with M. Schocker) Modular Lie powers and the Solomon descent algebra. Math. Z. 253(2006) 295-313.
    11. (with E.L. Green, N. Snashall, R. Taillefer) Representation theory of the Drinfel'd doubles of a family of Hopf algebras. J. Pure Applied Algebra 204(2)(2006), 413-454.
    12. (with J. Bialkowski, A. Skowronski) Deformed preprojective algebras of generalized Dynkin type. Trans. A.M.S. 359(2007) 2625-2650.
    13. Stratifying systems, filtration multiplicities and symmetric groups. J. Algebra and its Applications 4(5)(2005)551-555.
    14. (with M. Holloway) The Avrunin and Scott Theorem and a truncated polynomial algebra. J. Algebra 299(2006)344-373.
    15. (with A. Skowronski) The Calabi-Yau dimension of tame symmetric algebras. J. Math. Soc. Japan 58(2006), 97-123.
    16. (with S. Schroll) On Young modules of general linear groups. J. Algebra 310(1)(2007), 434-451.
    17. (with S. Doty and A. Henke) Endomorphism rings of permutation modules over maximal Young subgroups. J. Algebra 307(2007), 377-396.
    18. A new parametrization of tilting modules for GL(3,K) over characteristic 2. J. Algebra 306(2006), 62-75.
    19. (with D. Benson and M. Holloway) Rank varieties for a class of finite-dimensional local algebras. J. Pure Applied Algebra 11(2007), 497-510.
    20. (with A. Clark and S. Schroll) Rhombus filtrations and Rauzy algebras. Bull. Sci. Math. 133 (2009) 56-81.
    21. (with T. Holm) Maximal n-orthogonal modules for selfinjective algebras. Proc. AMS 136(2008),3069-3078.
    22. (with Qiang Fu) Schur-Weyl duality for infinitesimal q-Schur algebras s_q(2,r)_1. J. Algebra 320(3) (2008), 1099-1114.
    23. (with P. A. Bergh) Homology and Cohomology of quantum complete intersections. Algebra and Number theory, 2(5) (2008), 501-522.
    24. On the decomposition map for symmetric groups. J. Algebraic Combinatorics 28(1) (2008), 219-229.
    25. (with A. Skowronski) Periodic algebras. In 'Trends in Representation Theory of Algebras and Related Topics'.
    26. (with K. Baur and A. Parker) Modelling Richardson orbits for SO_N via Delta-filtered modules. Submitted.
    27. (with P. Bergh) The Avrunin Scott theorem for quantum complete intersections. arXiv:0810.3308. J. Algebra 322(2009)479-488.
    28. (with S. Danz) The vertices of a class of Specht modules and simple modules for symmetric groups in characteristic 2. Submitted.
    29. (with D. Madsen and V. Miemietz) On Auslander-Reiten translates in functorially finite subcategories and applications. To appear in Colloqu. Math.
    30. (with S. Schroll) On the Hochschild cohomology of tame Hecke algebras. Submitted.
    31. (with O. Solberg) Radical cube zero weakly symmetric algebras and support varieties. Submitted.
    32. (with K.M. Tan) The Lie module of the symmetric group. Submitted.