p-rook numbers and cycle counting in the wreath product of C

_{p}and S_{n}Meesue Yoo (유미수)

School of Mathematics, KIAS, Seoul, Korea

School of Mathematics, KIAS, Seoul, Korea

2012/4/4 Wed 4PM-5PM

The cycle counting rook numbers, hit numbers, and q-rook numberes and q-hit numbers have been studied by many people, and Briggs and Remmel introduced the theory of p-rook and p-hit numbers which is a rook theory model of the weath product of the cyclic group C

We extend the cycle-counting q-rook numberes and q-hit numbers to the Briggs-Remmel model. In such a settinig, we define multivariable version of the cycle-counting q-rook numbers and cycle-counting q-hit numbers where we keep track of cycles of pernutation and partial permutation of C

This work is a joint work with Jim Haglund at University of Pennsylvania and Jeff Remmel at UCSD.

_{p}and the symmetric group S_{n}.We extend the cycle-counting q-rook numberes and q-hit numbers to the Briggs-Remmel model. In such a settinig, we define multivariable version of the cycle-counting q-rook numbers and cycle-counting q-hit numbers where we keep track of cycles of pernutation and partial permutation of C

_{p}wearth product with S_{n}according to the signs of the cycles.This work is a joint work with Jim Haglund at University of Pennsylvania and Jeff Remmel at UCSD.

Tags: 유미수