Bender-Knuth involutions for types B and C

\'Alvaro Guti\'errez

Nov 2023

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摘要原文

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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