On refined enumerations of totally symmetric self-complementary plane partitions I
Combinatorics
2007-05-23 v2 Representation Theory
Abstract
In this paper we give Pfaffian expressions and constant term identities for the enumeration problems presented by Mills, Robbins and Rumsey (``Self-complementary totally symmetric plane partitions'' J. Combin. Theory Ser. A, 42, 277--292), concerning the totally symmetric self-complementary plane partitions (TSSCPPs). We also present some new conjectures and give Pfaffian expressions for them.
Keywords
Cite
@article{arxiv.math/0602068,
title = {On refined enumerations of totally symmetric self-complementary plane partitions I},
author = {Masao Ishikawa},
journal= {arXiv preprint arXiv:math/0602068},
year = {2007}
}
Comments
39 pages, 2 figures