A Filtration of (q,t)-Catalan numbers

Details A Filtration of (q,t)-Catalan numbers A Filtration of (q,t)-Catalan numbers

2008-06-18

arxiv.org/abs/0806.3046v2

Adv. in Appl. Math. 44 (2010), no. 1, 16--36.

Mathematics

Combinatorics

Scientific paper

We define new generalizations of (q,t)-Catalan numbers applying nabla operator on k-Schur functions indexed by column partitions. In some special cases, we give a combinatorial interpretation of these numbers using configurations of Dyck paths. In some other special cases, we also interpret these new polynomial as Hilbert series of explicit sub-modules of the alternating diagonal harmonics built using differential operators.

Affiliated with

Also associated with

No associations

Rating

A Filtration of (q,t)-Catalan numbers does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Filtration of (q,t)-Catalan numbers, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Filtration of (q,t)-Catalan numbers will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-273347