Dennis StantonAffiliation: University of Minnesota Email: stanton@math.umn.edu Title Of Talk: t-analogues of q-analogues URL: not yet Abstract: The q-binomial coefficient is either (A) the generating function of partitions inside a rectangle, (B) the Hilbert series for a ring of invariants, (C) the number of vector subspaces of a given dimension of a finite vector space. By combining these ideas using modular representation theory, a t-analogue of q-analogue is presented. Letting either t or q approach 1, the q-binomial coefficient is recaptured. Some consequences for integer partitions will be presented.
Last update made Wed Feb 13 22:25:52 EST 2008.
|