论文标题
图表超模型以$ 0 $ -HECKE-CLIFFORD代数
Diagram supermodules for $0$-Hecke-Clifford algebras
论文作者
论文摘要
我们介绍了一种以$ 0 $ -HECKE代数和超模型构建模块的通用方法，以$ 0 $ -HECKE-CLIFFORD代数从飞机上的盒子图中的图表中构造，并为这些模块的图像提供了公式，并在相关特征映射下的准函数和峰值功能的代数中这些模块的图像。 As initial applications, we resolve a question of Jing and Li (2015), introduce a new basis of the peak algebra analogous to the quasisymmetric Schur functions, uncover a new connection between Schur $Q$-functions and quasisymmetric Schur functions, give a representation-theoretic interpretation of families of tableaux used in constructing certain functions in the peak algebra, and establish a common framework for known $ 0 $ -HECKE模块的准对称函数基础解释。
We introduce a general method for constructing modules for $0$-Hecke algebras and supermodules for $0$-Hecke-Clifford algebras from diagrams of boxes in the plane, and give formulas for the images of these modules in the algebras of quasisymmetric functions and peak functions under the relevant characteristic map. As initial applications, we resolve a question of Jing and Li (2015), introduce a new basis of the peak algebra analogous to the quasisymmetric Schur functions, uncover a new connection between Schur $Q$-functions and quasisymmetric Schur functions, give a representation-theoretic interpretation of families of tableaux used in constructing certain functions in the peak algebra, and establish a common framework for known $0$-Hecke module interpretations of bases of quasisymmetric functions.
