Alpha-determinant cyclic modules and Jacobi polynomials

DOI10.1090/S0002-9947-09-04860-0zbMath1189.17009arXiv0710.3669MaRDI QIDQ3648201

Sho Matsumoto, Kazufumi Kimoto, Masato Wakayama

Publication date: 24 November 2009

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.3669

zbMATH Keywords

cyclic modulesJacobi polynomialspermanentGelfand pairKostka numberszonal spherical functionsalpha-determinantspherical Fourier transformation

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Harmonic analysis and spherical functions (43A90)

Related Items (2)

Quantum \(\alpha\)-determinant cyclic modules of \(\mathcal U_q(\mathfrak{gl}_n)\) ⋮ Invariant theory for singular \(\alpha \)-determinants

Cites Work

• A generalization of permanents and determinants
• Random point fields associated with certain Fredholm determinants. I: Fermion, Poisson and Boson point processes.
• Quantum \(\alpha\)-determinant cyclic modules of \(\mathcal U_q(\mathfrak{gl}_n)\)
• Invariant theory for singular \(\alpha \)-determinants
• \(\alpha\)-Pfaffian, Pfaffian point process and shifted Schur measure
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Alpha-determinant cyclic modules and Jacobi polynomials