Zonal polynomials and domino tableaux

DOI10.1016/0012-365X(92)90360-RzbMath0759.05098MaRDI QIDQ1191936

Adriano M. Garsia, Nantel Bergeron

Publication date: 27 September 1992

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

Fourier transformGelfand pairdomino tableauxzonal polynomialsLittlewood-Richardson's coefficients

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10)

Related Items

Trees, wreath products and finite Gelfand pairs ⋮ Zonal polynomials for wreath products ⋮ Superconformal blocks in diverse dimensions and \textit{BC} symmetric functions ⋮ A characteristic map for the symmetric space of symplectic forms over a finite field ⋮ Connection coefficients, matchings, maps and combinatorial conjectures for Jack symmetric functions ⋮ Finite Gel'fand pairs and their applications to probability and statistics ⋮ On Schur's \(Q\)-functions and the primitive idempotents of a commutative Hecke algebra

Cites Work

• Combinatorial aspects of skew representations of the symmetric group
• Zonal polynomials of the real positive definite symmetric matrices
• Relations between Young's natural and the Kazhdan-Lusztig representations of \(S_ n\)
• Permutations, matrices, and generalized Young tableaux
• Group Characters and the Structure of Groups
• Unnamed Item
• Unnamed Item
• Unnamed Item