A new \(q\)-Selberg integral, Schur functions, and Young books

DOI10.1007/s11139-015-9721-9zbMath1362.05132arXiv1412.7914OpenAlexW1818645518MaRDI QIDQ2397067

Jang Soo Kim, Soichi Okada

Publication date: 29 May 2017

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.7914

zbMATH Keywords

Schur functions\(P\)-partitions\(q\)-Selberg integralYoung books

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) (q)-gamma functions, (q)-beta functions and integrals (33D05) Classical problems, Schubert calculus (14N15)

Related Items (3)

\(q\)-difference systems for the Jackson integral of symmetric Selberg type ⋮ On \(q\)-integrals over order polytopes ⋮ Hook formulas for skew shapes. III: Multivariate and product formulas

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Selberg integral and Young books
• (\(q,t\))-deformations of multivariate hook product formulae
• On the decomposition of tensor products of the representations of the classical groups: By means of the universal characters
• \(q\)-Selberg integrals and Macdonald polynomials
• From Palev’s Study of Wigner Quantum Systems to New Results on Sums of Schur Functions
• The importance of the Selberg integral
• Permutohedra, Associahedra, and Beyond
• A Proof of Some q-Analogues of Selberg’s Integral for $k=1$
• A Proof of Askey’s Conjectured q-Analogue of Selberg’s Integral and a Conjecture of Morris
• Une q-Intégrale de Selberg et Askey
• Some Basic Hypergeometric Extensions of Integrals of Selberg and Andrews

This page was built for publication: A new \(q\)-Selberg integral, Schur functions, and Young books