(-1)-enumeration of plane partitions with complementation symmetry
| dc.creator | Eisenkölbl, Theresia | |
| dc.date | 2000-11-22 | |
| dc.date | 2002-12-11 | |
| dc.date.accessioned | 2026-07-07T04:38:45Z | |
| dc.date.available | 2026-07-07T04:38:45Z | |
| dc.description | We compute the weighted enumeration of plane partitions contained in a given box with complementation symmetry where adding one half of an orbit of cubes and removing the other half of the orbit changes the weight by -1 as proposed by Kuperberg. We use nonintersecting lattice path families to accomplish this for transpose-complementary, cyclically symmetric transpose-complementary and totally symmetric self-complementary plane partitions. For symmetric transpose-complementary and self-complementary plane partitions we get partial results. We also describe Kuperberg's proof for the case of cyclically symmetric self-complementary plane partitions. | |
| dc.description | 41 pages, AmS-LaTeX, uses TeXDraw; reference added | |
| dc.identifier | https://arxiv.org/abs/math/0011175 | |
| dc.identifier | http://arxiv.org/abs/math/0011175 | |
| dc.identifier | Adv. Appl. Math. 30, No. 1-2, 53-95 (2003) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60407 | |
| dc.subject | Combinatorics | |
| dc.subject | 05A15 05A19 05B45 33C20 52C20 | |
| dc.title | (-1)-enumeration of plane partitions with complementation symmetry | |
| dc.type | text |