Emmanuel Briand ; Rosa Orellana ; Mercedes Rosas - Invariance properties for coefficients of symmetric functions

dmtcs:2464 - Discrete Mathematics & Theoretical Computer Science, January 1, 2015, DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015) - https://doi.org/10.46298/dmtcs.2464
Invariance properties for coefficients of symmetric functions

Authors: Emmanuel Briand 1; Rosa Orellana 2; Mercedes Rosas 3

  • 1 Department of Applied Mathematics I [Sevilla]
  • 2 Department of Mathematics [Dartmouth]
  • 3 Departamento de Algebra [Sevilla]

We show that several of the main structural constants for symmetric functions (Littlewood-Richardsoncoefficients, Kronecker coefficients, plethysm coefficients, and the Kostka–Foulkes polynomials) share invarianceproperties related to the operations of taking complements with respect to rectangles and adding rectangles.

https://doi.org/10.46298/dmtcs.2464
Source: HAL:hal-01337788v1
Volume: DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015)
Section: Proceedings
Published on: January 1, 2015
Imported on: November 21, 2016
Keywords: Kostka coefficients,plethysm coefficients,Kronecker coefficients,Littlewood-Richardson coefficients,[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]
Licence: Attribution 4.0 International (CC BY 4.0)

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