13 citations · 29 across the 17 of their papers we have counts for
6 papers · 1 filter
Channels, Billiards, and Perfect Matching 2-Divisibility
Grant T. Barkley, Ricky Ini Liu
Let denote the number of perfect matchings of the graph . We introduce a number of combinatorial tools for determining the parity of and giving a lower bound on the…
The Algebra of Schur Operators
Ricky Ini Liu, Christian Smith
We study a representation of the (local) plactic monoid given by Schur operators , which act on partitions by adding a box in column (if possible). In particular, we give…
Twisted Schubert polynomials
Ricky Ini Liu
We prove that twisted versions of Schubert polynomials defined by and $\widetilde{\mathfrak S}_{ws_i} = (s_i+\pa…
Schubert polynomials as projections of Minkowski sums of Gelfand-Tsetlin polytopes
Ricky Ini Liu, Karola Mészáros, Avery St. Dizier
Gelfand-Tsetlin polytopes are classical objects in algebraic combinatorics arising in the representation theory of . The integer point transform of the…
Gelfand-Tsetlin polytopes: a story of flow and order polytopes
Ricky Ini Liu, Karola Mészáros, Avery St. Dizier
Gelfand-Tsetlin polytopes are prominent objects in algebraic combinatorics. The number of integer points of the Gelfand-Tsetlin polytope is equal to the dimension…
-Partitions and Quasisymmetric Power Sums
Ricky Ini Liu, Michael Weselcouch
The -partition generating function of a labeled poset is a quasisymmetric function enumerating certain order-preserving maps from to . We study t…