Ribbon operators and Hall-Littlewood symmetric functions

DOI10.1006/aima.2000.1933zbMath0984.05075arXivmath/0008163OpenAlexW1982298275MaRDI QIDQ5927529

Michael Zabrocki

Publication date: 2 May 2002

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

Full work available at URL: https://arxiv.org/abs/math/0008163

zbMATH Keywords

Schur functionsBernstein operatorHall-Littlewood symmetric functionribbon operatorRodriguez operatorskew partitionsymmetric function

Mathematics Subject Classification ID

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

Related Items

Hall-Littlewood polynomials and characters of affine Lie algebras ⋮ Categorification and Higher Representation Theory ⋮ Categorification and Heisenberg doubles arising from towers of algebras ⋮ Unnamed Item ⋮ \(q\) and \(q, t\)-analogs of non-commutative symmetric functions

Cites Work

• Unnamed Item
• Representations of finite classical groups. A Hopf algebra approach
• Vertex operators and Hall-Littlewood symmetric functions
• Orthogonality of Milne's polynomials and raising operators
• Vertex operators for standard bases of the symmetric functions