arXiv Analytics

Sign in

arXiv:math/0602068 [math.CO]AbstractReferencesReviewsResources

On refined enumerations of totally symmetric self-complementary plane partitions I

Masao Ishikawa

Published 2006-02-04, updated 2006-06-12Version 2

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.

Comments: 39 pages, 2 figures
Categories: math.CO, math.RT
Subjects: 05A15, 05A17, 05E05, 05E10
Related articles: Most relevant | Search more
arXiv:math/0606082 [math.CO] (Published 2006-06-04, updated 2006-06-06)
On refined enumerations of totally symmetric self-complementary plane partitions II
arXiv:math/9712202 [math.CO] (Published 1997-11-26)
Determinant identities and a generalization of the number of totally symmetric self-complementary plane partitions
arXiv:2303.10463 [math.CO] (Published 2023-03-18)
A pipe dream perspective on totally symmetric self-complementary plane partitions

Links

Toolbox