Skip to Main content Skip to Navigation
Conference papers

Tableaux and plane partitions of truncated shapes (extended abstract)

Abstract : We consider a new kind of straight and shifted plane partitions/Young tableaux — ones whose diagrams are no longer of partition shape, but rather Young diagrams with boxes erased from their upper right ends. We find formulas for the number of standard tableaux in certain cases, namely a shifted staircase without the box in its upper right corner, i.e. truncated by a box, a rectangle truncated by a staircase and a rectangle truncated by a square minus a box. The proofs involve finding the generating function of the corresponding plane partitions using interpretations and formulas for sums of restricted Schur functions and their specializations. The number of standard tableaux is then found as a certain limit of this function.
Complete list of metadata

Cited literature [3 references]  Display  Hide  Download
Contributor : Coordination Episciences Iam Connect in order to contact the contributor
Submitted on : Tuesday, October 13, 2015 - 3:06:07 PM
Last modification on : Thursday, February 7, 2019 - 5:55:49 PM
Long-term archiving on: : Thursday, April 27, 2017 - 12:24:46 AM


Publisher files allowed on an open archive




Greta Panova. Tableaux and plane partitions of truncated shapes (extended abstract). 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011), 2011, Reykjavik, Iceland. pp.753-764, ⟨10.46298/dmtcs.2950⟩. ⟨hal-01215068⟩



Record views


Files downloads