31 citations · 179 across the 34 of their papers we have counts for
43 papers
Evacuation of rectangular standard Young tableaux corresponds to reflection of webs
Lucas Adams Cowan, Ronja Eilfort, Kerry Seekamp +1
Web graphs form a family of planar directed graphs with boundary that can be used to model quantum -invariant vectors. Standard Young tableaux on an r…
Stranding webs
Heather M. Russell, Julianna Tymoczko
Webs are planar directed graphs that encode invariant vectors for tensor products of fundamental -representations. For and …
Identifying Orbit Lengths for Promotion
Elise Catania, Jack Kendrick, Heather M. Russell +1
In this work we study Schützenberger's promotion operator on standard Young tableaux via a corresponding graphical construction known as diagrams. In particular, we prove that…
Cell closures for two-row Springer fibers via noncrossing matchings
Talia Goldwasser, Meera Nadeem, Garcia Sun +1
Springer fibers are a family of subvarieties of the flag variety parametrized by nilpotent matrices that are important in geometric representation theory and whose geometry encodes…
The algebra of splines: duality, group actions and homology
Martina Lanini, Hal Schenck, Julianna Tymoczko
This survey gives an overview of three central algebraic themes related to the study of splines: duality, group actions, and homology. Splines are piecewise polynomial functions of…
Dimension of splines on graphs in the case of degree two and smoothness one in two variables
Shaheen Nazir, Anne Schilling, Julianna Tymoczko
Continuous spline functions are defined as piecewise polynomials on the faces of a polyhedral complex that agree on the intersections of two faces. Splines are used in approximatio…