Sydney University Algebra Seminar

    University of Sydney

    School of Mathematics and Statistics

    Algebra Seminar

    Alison Parker
    Queen Mary and Westfield College

    The Global Dimension of Schur algebras for GL2 and GL3.

    Friday 15th December, 12-1pm, Carslaw 275.

    We first review the good filtration dimension and Weyl filtration dimension for a quasi-hereditary algebra. We can also use these concepts for rational modules for the general (and special) linear group. We then give explicitly these dimensions for the irreducible modules for SL2 and SL3. We will then show that for Schur algebras the global dimension is twice the good filtration dimension.