Bender-Knuth Involutions for Types B and C

We show that the combinatorial definitions of King and Sundaram of the symmetric polynomials of types B and C are indeed symmetric, in the sense that they are invariant by the action of the Weyl groups. Our proof is combinatorial and inspired by Bender and Knuth's classic involutions for type A...

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Bibliographic Details
Published in:The Electronic journal of combinatorics 2024-06, Vol.31 (2)
Main Author: Gutiérrez, Álvaro
Format: Article
Language:English
Online Access:Get full text
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