Self-complementary plane partitions by Proctor's minuscule method

Preprint

1 November 1994

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.math/9411239

Abstract

A method of Proctor [European J. Combin. 5 (1984), no. 4, 331-350] realizes the set of arbitrary plane partitions in a box and the set of symmetric plane partitions as bases of linear representations of Lie groups. We extend this method by realizing transposition and complementation of plane partitions as natural linear transformations of the representations, thereby enumerating symmetric plane partitions, self-complementary plane partitions, and transpose-complement plane partitions in a new way.

Keywords

COMPLEMENTARY PLANE PARTITIONS
PROCTOR'S MINUSCULE
MINUSCULE METHOD
PLANE PARTITIONS
SYMMETRIC PLANE
REPRESENTATIONS

All Related Versions

Version 1, 1994-11-01, ArXiv

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