Publications

Versions of most of these papers may be downloaded from the arXiv. Or try Mathscinet.
  1. The Global Dimension of Schur Algebras for GL_2 and GL_3,
    J. Algebra 241 (2001), 340-378,
    abstract, published version (on ScienceDirect).
  2. On the Global Dimension of Schur Algebras and Related Algebras,
    PhD thesis, University of London, 2001,
    (post-viva version) abstract, pdf version.
  3. On the Weyl filtration dimension of the induced modules for a linear algebraic group.
    J. reine angew. Math. 562 (2003), 5-21, with an appendix by Steen Ryom-Hansen, same issue 23-26.
    abstract, published version (on crelle's website), appendix (also on crelle's website).
  4. On the relation between finitistic and good filtration dimensions.
    Joint with V. Mazorchuk.
    Comm. Alg. 32 (2004), no. 5 1903-1917
    abstract, published version (on the Comm. Alg. website).
  5. On the global and good filtration dimensions of quasi-hereditary algebras.
    Joint with K. Erdmann.
    J. Pure and Appl. Algebra (2004), 194, 95-111
    abstract, published version (on the JPAA website).
  6. Homomorphisms and Higher Extensions for Schur algebras and symmetric groups.
    Joint with A. G. Cox.
    J. Algebra Appl. 4 no. 6 (2005) 645-670
    abstract, published version (on World Scientific website),
  7. Homomorphisms between Weyl modules for SL_3(k).
    Joint with A. G. Cox.
    Trans. Amer. Math. Soc. 358, no. 9, (2006), 4159-4207.
    abstract, published version (on AMS website), colour example 1 (11kB), colour example 2 (11kB).
  8. Representation theory of towers of recollement: theory, notes, and examples.
    Joint with A. G. Cox, P. P. Martin and C. Xi.
    J. Algebra 302 (2006), 340-360.
    abstract, published version (on ScienceDirect).
  9. Good l-filtrations for q-GL_3(k).
    J. Algebra 304, (2006), 157-189.
    abstract, published version (on ScienceDirect).
  10. Higher extensions between modules for SL_2.
    Advances in Mathematics 209 (2007), 381-405.
    abstract, published version (on ScienceDirect).
  11. Towers of recollement and bases for diagram algebras: planar diagrams and a little beyond.
    J. Algebra 316 (2007), no. 1, 392-452.
    Joint with R. M. Green and P. P. Martin
    abstract, published version (on ScienceDirect).
  12. A presentation for the symplectic blob algebra.
    To appear in the Journal of Algebra and its Applications.
    Joint with R. M. Green and P. P. Martin
  13. On the non-generic representation theory of the symplectic blob algebra.
    Work in progress.
    Joint with R. M. Green and P. P. Martin
  14. Delta-filtered modules and nilpotent orbits of a parabolic subgroup in O_N,
    J. Pure Appl. Algebra 215 (2011), no. 5, 885-901.
    Joint with K. Baur and K. Erdmann
    abstract.
  15. Some remarks on a result of Jensen and tilting modules for SL_3(k) and q-GL_3(k)
    Submitted.
    abstract.
  16. A family of Koszul self-injective algebras with finite Hochschild cohomology.
    Joint with N. J. Snashall
    Submitted.

I also have some p-adic graph paper for SL_3 which we used in the homomorphisms paper. These are in xfig and postscript format. These files have all been compressed (with gzip) to save space, and are around the 3kB mark.

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This page last modified by Alison Parker on Mon Sep 26 2011
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