"The negative q-binomial"

Yue Cai
University of Kentucky

Monday, April 9, 2012
4:00 pm
845 Patterson Office Tower

Abstract:

The paper of Fu, Reiner, Stanton and Thiem concerns the interpretation for the q-binomial coefficients evaluated at negative integers -q. For a particular subset of permutations on {0^{n-k}, 1^k}, one can regard a negative q-binomial as the generating function for the number of inversions. We can also build a (q,t)-analogue of the q-binomial at -q. An interpretation of negative q-binomials via Ferrers diagrams is also given.