On the Schur Expansion of Hall-Littlewood and Related Polynomials via Yamanouchi Words

[摘要] This paper uses the theory of dual equivalence graphs to give explicit Schur expansions for several families of symmetric functions. We begin by giving a combinatorial definition of the modified Macdonald polynomials and modified Hall-Littlewood polynomia

[学科分类] 离散数学和组合数学

[关键词] Hall-Littlewood polynomials;Dual equivalence;Schur functions;Symmetric functions;Macdonald polynomials