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  1. Home > Articles & Issues >
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  3. Symmetries of the k- ...
Conference paper

Symmetries of the k-bounded partition lattice

Chris Berg (1) (2) (3), Mike Zabrocki ORCID (1) (2)
(1) Fields Institute for Research In Mathematical Sciences
(2) York University [Toronto]
(3) Laboratoire de combinatoire et d'informatique mathématique [Montréal]
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Imported on
January 31, 2017
Published on
December 31, 2011
Last modified on
March 31, 2025
Volume
DMTCS Proceedings vol. AR, 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012)
Proceedings
DOI
10.46298/dmtcs.3023
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https://about.hal.science/hal-authorisation-v1
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Symmetries of the k-bounded partition lattice

Chris Berg (1) (2) (3), Mike Zabrocki ORCID (1) (2)
(1) Fields Institute for Research In Mathematical Sciences
(2) York University [Toronto]
(3) Laboratoire de combinatoire et d'informatique mathématique [Montréal]
Abstract
English
We generalize the symmetry on Young's lattice, found by Suter, to a symmetry on the $k$-bounded partition lattice of Lapointe, Lascoux and Morse.
French
Nous généralisons la symétrie sur le treillis de Young, découvert par Suter, à une symétrie sur le treillis des partages bornés par $k$ et étudié par Lapointe, Lascoux and Morse.
Keywords
  • [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM]
  • core partitions
  • k-Schur functions
  • cyclic symmetry
Cited by

Source: OpenCitations

  • Cyclic symmetry of the scaled simplex

    Journal of Algebraic Combinatorics

    Authors : Hugh Thomas ORCID, Nathan Williams ORCID

    Journal reference : Volume 39, 2013, pp. 225-246

    DOI : 10.1007/s10801-013-0446-9
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