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University of Sydney
School of Mathematics and Statistics
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.
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