
School of Mathematics and Statistics
Alison Parker
Queen Mary and Westfield College
The Global Dimension of Schur algebras for GL_{2}
and GL_{3}.
Friday 15th December, 121pm, Carslaw 275.
We first review the good filtration dimension and Weyl filtration
dimension for a quasihereditary 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 SL_{2} and SL_{3}. We will then show
that for Schur algebras the global dimension is twice the good
filtration dimension.
