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

By Chris Berg, Nantel Bergeron, Franco V. Saliola, Luis G. Serrano, Mike Zabrocki. 2013

56 citations recorded by the source corpus.

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

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/4e9957c554b14d1037ed0da82c67ff7bf8863c7a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Discrete Mathematics and Combinatorics

1. Stephanie van Willigenburg
2. Nantel Bergeron
3. Vasu Tewari
4. Mike Zabrocki
5. Franco V. Saliola
6. T. Kyle Petersen
7. Kurt W. Luoto

In Geometry and Topology

1. Stephanie van Willigenburg
2. Nantel Bergeron
3. Vasu Tewari
4. Mike Zabrocki
5. Franco V. Saliola
6. Stuart W. Margolis
7. Ben Steinberg
8. T. Kyle Petersen

In Mathematical Physics

1. Mike Zabrocki
2. Stephanie van Willigenburg
3. Nantel Bergeron

Citations in the corpus

• Modules of the 0-Hecke algebra and quasisymmetric Schur functions (2014, background): “Bergeron and Reutenauer [37] and has initiated a new avenue of research for other Schur-like bases, which to date include row strict quasisymmetric functions [19, 42], dual immaculate quasisymmetric functions [5], Young quasisymmetric functions [39], and affine quasisymmetric Schur functions [6].”
• A Lift of the Schur and Hall–Littlewood Bases to Non-commutative Symmetric Functions (2012, background): “tructure coefficients, remain open. The results of this paper are mostly combinatorial and algebraic. In a future paper we turn our attention to the representation theoretic interpretation of our basis [BBSSZ1]. We construct indecomposable modules of the 0-Hecke algebra whose characteristics, under th”