Indecomposable modules for the dual immaculate basis of quasi-symmetric functions

TL;DR

This paper constructs indecomposable modules for the 0-Hecke algebra, with characteristics corresponding to the dual immaculate basis of quasi-symmetric functions, advancing the algebraic understanding of these bases.

Contribution

It introduces a new class of indecomposable modules for the 0-Hecke algebra linked to the dual immaculate basis, a novel connection in algebraic combinatorics.

Findings

Construction of indecomposable modules for the 0-Hecke algebra.

Characteristics of these modules match the dual immaculate basis.

Provides new insights into the structure of quasi-symmetric functions.

Abstract

We construct indecomposable modules for the 0-Hecke algebra whose characteristics are the dual immaculate basis of the quasi-symmetric functions.