Coincidences among skew Schur functions

Victor Reiner, Kristin M. Shaw, Stephanie Van Willigenburg

Research output: Contribution to conferencePaperpeer-review

Abstract

We define an equivalence relation on skew diagrams such that two skew diagrams are equivalent if and only if they give rise to equal skew Schur functions. Then we derive some necessary and sufficient conditions for equivalence.

Original languageEnglish (US)
Pages282-293
Number of pages12
StatePublished - 2006
Event18th Annual International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2006 - San Diego, CA, United States
Duration: Jun 19 2006Jun 23 2006

Other

Other18th Annual International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2006
CountryUnited States
CitySan Diego, CA
Period6/19/066/23/06

Bibliographical note

Funding Information:
✩ The first author was supported by NSF grant DMS-0245379. The second and third authors were supported in part by the National Sciences and Engineering Research Council of Canada. The third author was supported in part by the Peter Wall Institute for Advanced Studies. * Corresponding author. E-mail addresses: reiner@math.umn.edu (V. Reiner), krishaw@math.ubc.ca (K.M. Shaw), steph@math.ubc.ca (S. van Willigenburg).

Keywords

  • Ribbon Schur function
  • Skew Schur function
  • Symmetric function
  • Weyl module

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