(q,t)-hook formula for Birds and Banners
Combinatorics
2013-02-11 v1
Abstract
We study Okada's conjecture on -hook formula of general -complete posets. Proctor classified -complete posets into 15 irreducible ones. We try to give a case-by-case proof of Okada's -hook formula conjecture using the symmetric functions. Here we give a proof of the conjecture for birds and banners, in which we use Gasper's identity for VWP-series .
Cite
@article{arxiv.1302.1968,
title = {(q,t)-hook formula for Birds and Banners},
author = {Masao Ishikawa},
journal= {arXiv preprint arXiv:1302.1968},
year = {2013}
}
Comments
27 pages, 7 figures. arXiv admin note: text overlap with arXiv:0909.0086, arXiv:0905.4033, arXiv:math/0511333, arXiv:0708.1193 by other authors