45 citations · 101 across the 12 of their papers we have counts for
15 papers
Bijecting hidden symmetries for skew staircase shapes
Zachary Hamaker, Alejandro H. Morales, Igor Pak +2
We present a bijection between the set of standard Young tableaux of staircase minus rectangle shape, and the set of marked shifted standard Young tableaux of a certain shifted sha…
Multiplicative structures of the immaculate basis of non-commutative symmetric functions
Chris Berg, Nantel Bergeron, Franco Saliola +2
We continue our development of a new basis for the algebra of non-commutative symmetric functions. This basis is analogous to the Schur basis for the algebra of symmetric functions…
Indecomposable modules for the dual immaculate basis of quasi-symmetric functions
Chris Berg, Nantel Bergeron, Franco Saliola +2
We construct indecomposable modules for the 0-Hecke algebra whose characteristics are the dual immaculate basis of the quasi-symmetric functions.
The immaculate basis of the non-commutative symmetric functions
Chris Berg, Nantel Bergeron, Franco Saliola +2
FPSAC 2013 Extended Abstract. We introduce a new basis of the non-commutative symmetric functions whose elements have Schur functions as their commutative images. Dually, we build…
Combinatorial expansions for families of non-commutative k-Schur functions
Chris Berg, Franco Saliola, Luis Serrano
We apply down operators in the affine nilCoxeter algebra to yield explicit combinatorial expansions for certain families of non-commutative k-Schur functions. This yields a combina…
A lift of the Schur and Hall-Littlewood bases to non-commutative symmetric functions
Chris Berg, Nantel Bergeron, Franco Saliola +2
We introduce a new basis of the non-commutative symmetric functions whose commutative images are Schur functions. Dually, we build a basis of the quasi-symmetric functions which ex…