4 citations · 7 across the 7 of their papers we have counts for
8 papers
Finite noncommutative coinvariant algebras
Farid Aliniaeifard, Nantel Bergeron, Huilan Li +1
We study quotients of free associative algebras by the two-sided ideals generated by positive-degree symmetric, quasisymmetric, or free quasisymmetric polynomials. Free quasisymmet…
Towards equivalent thickened ribbon Schur functions
Emma Yu Jin, Shu Xiao Li
Two skew diagrams are defined to be equivalent if their corresponding skew Schur functions are equal. The equivalence classes of ribbons (edgewise connected skew diagrams without a…
Generalized chromatic functions
Farid Aliniaeifard, Shu Xiao Li, Stephanie van Willigenburg
We define vertex-colourings for edge-partitioned digraphs, which unify the theory of P-partitions and proper vertex-colourings of graphs. We use our vertex-colourings to define gen…
Extending the descent-to-peak map and its applications
Farid Aliniaeifard, Shu Xiao Li
The descent-to-peak map serves as a bridge between algebra and combinatorics. We use it as a tool for proving the equidistribution of peak and valley sets of standard Young tableau…
Schur functions in noncommuting variables
Farid Aliniaeifard, Shu Xiao Li, Stephanie van Willigenburg
In 2004 Rosas and Sagan asked whether there was a way to define a basis in the algebra of symmetric functions in noncommuting variables, NCSym, having properties analogous to the c…
Stable set polytopes and their 1-skeleta
Farid Aliniaeifard, Carolina Benedetti, Nantel Bergeron +2
We characterize the edges of two classes of -polytopes. The first class corresponds to the stable set polytope of a graph and includes chain polytopes of posets, some inst…
Theta maps for combinatorial Hopf algebras
Farid Aliniaeifard, Shu Xiao Li
There is a very natural and well-behaved Hopf algebra morphism from quasisymmetric functions to peak algebra, which we call it Theta map. This paper focuses on generalizing the pea…
Structure Constants for Immaculate Functions
Shu Xiao Li
The immaculate functions, , were introduced as a Schur-like basis for . We investigate facts about their structure constants. These ar…