标题： Hall多项式，逆Kostka多项式和拼图 显示英文标题

标题： Hall polynomials, inverse Kostka polynomials and puzzles

摘要： 我们研究了两类不同的带一个参数的Littlewood–Richardson系数的推广，即Hall多项式和广义逆Kostka多项式，并推导出它们的新组合公式。我们的组合表达式与Knutson和Tao最初在Grassmannian等变上同调工作中引入的拼图密切相关。 显示英文摘要

摘要： We study two different one-parameter generalizations of Littlewood--Richardson coefficients, namely Hall polynomials and generalized inverse Kostka polynomials, and derive new combinatorial formulae for them. Our combinatorial expressions are closely related to puzzles, originally introduced by Knutson and Tao in their work on the equivariant cohomology of the Grassmannian.