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

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2020
• Hauptverfasser: Hoshino, Ayumu, Shiraishi, Jun'ichi
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2020
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/210764
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Branching Rules for Koornwinder Polynomials with One Column Diagrams and Matrix Inversions. Ayumu Hoshino and Jun'ichi Shiraishi. SIGMA 16 (2020), 084, 28 pages

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...