2 citations · 4 across the 5 of their papers we have counts for
6 papers
Perforated Tableaux in Type Crystal Graphs and the RSK Correspondence
Glenn D. Appleby, Tamsen Whitehead
We continue work begun in \cite{ptab} which introduced \emph{perforated tableaux} as a combinatorial model for crystals of type , emphasizing connections to the classical…
Perforated Tableaux: A Combinatorial Model for Crystal Graphs in Type
Glenn D. Appleby, Tamsen Whitehead
We present a combinatorial model, called \emph{perforated tableaux}, to study crystals, unifying several previously studied combinatorial models. We identify nodes in the…
Hives Determined by Pairs in the Affine Grassmannian over Discrete Valuation Rings
Glenn D. Appleby, Tamsen Whitehead
Let be a discrete valuation ring with quotient field . The affine Grassmannian is the set of full-rank -modules contained in ${\c…
Flows on Honeycombs and Sums of Littlewood-Richardson Tableaux
Glenn D. Appleby, Tamsen Whitehead
Suppose μand μ' are two partitions. We will let μ\oplus μ' denote the "direct sum" of the partitions, defined as the sorted partition made of the parts of and . In this pap…
Matrix Pairs over Valuation Rings and R-Valued Littlewood-Richardson Fillings
Glenn D. Appleby, Tamsen Whitehead
We extend the theory of Littlewood-Richardson fillings (defined over the non-negative integers) to include diagrams with rows and boxes of real-valued length. We realize such filli…
Matrix pairs over discrete valuation rings determine Littlewood-Richardson fillings
Glenn Appleby, Tamsen Whitehead
Let M and N be two r x r matrices over a discrete valuation ring of characteristic zero. The orders (with respect to a uniformizing parameter) of the invariant factors of M form a…