Branching Rules for Koornwinder Polynomials with One Column Diagrams and Matrix Inversions

We present an explicit formula for the transition matrix from the type ₙ Koornwinder polynomials ₍₁ᵣ₎(|, , c, |, ) with one column diagrams, to the type ₙ monomial symmetric polynomials m₍₁ᵣ₎(). The entries of the matrix C enjoy a set of four-term recursion relations. These recursions provide us wi...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2020
Main Authors: Hoshino, Ayumu, Shiraishi, Jun'ichi
Format: Article
Language:English
Published: Інститут математики НАН України 2020
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/210764
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Branching Rules for Koornwinder Polynomials with One Column Diagrams and Matrix Inversions. Ayumu Hoshino and Jun'ichi Shiraishi. SIGMA 16 (2020), 084, 28 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine