Identity between Restricted Cauchy Sums for the -Whittaker and Skew Schur Polynomials

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2024
• Hauptverfasser: Imamura, Takashi, Mucciconi, Matteo, Sasamoto, Tomohiro
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2024
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/212356
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Identity between Restricted Cauchy Sums for the -Whittaker and Skew Schur Polynomials. Takashi Imamura, Matteo Mucciconi and Tomohiro Sasamoto. SIGMA 20 (2024), 064, 28 pages

The Cauchy identities play an important role in the theory of symmetric functions. It is known that Cauchy sums for the -Whittaker and the skew Schur polynomials produce the same factorized expressions modulo a -Pochhammer symbol. We consider sums with restrictions on the length of the first rows of...