标题： 对称和准对称Hall-Littlewood多项式的转移矩阵 显示英文标题

标题： Transition matrices for symmetric and quasisymmetric Hall-Littlewood polynomials

摘要： 我们引入了一些关于与斜Hall-Littlewood多项式P_lambda/mu(x;t)和Hivert的准对称Hall-Littlewood多项式G_gamma(x;t)相关的转换矩阵中系数的显式组合解释。 更具体地说，我们提供了：1）Hall-Littlewood多项式P_lambda、单项式准对称多项式M_alpha、准对称Schur多项式S_alpha和峰准对称函数K_alpha的G展开；2）P_lambda/mu关于F_alpha的展开。 通过引入带星表格，使得P_lambda/mu的F展开成为可能。 显示英文摘要

摘要： We introduce explicit combinatorial interpretations for the coefficients in some of the transition matrices relating to skew Hall-Littlewood polynomials P_lambda/mu(x;t) and Hivert's quasisymmetric Hall-Littlewood polynomials G_gamma(x;t). More specifically, we provide: 1) the G-expansions of the Hall-Littlewood polynomials P_lambda, the monomial quasisymmetric polynomials M_alpha, the quasisymmetric Schur polynomials S_alpha, and the peak quasisymmetric functions K_alpha; 2) an expansion of P_lambda/mu in terms of the F_alpha's. The F-expansion of P_lambda/mu is facilitated by introducing starred tableaux.