Publications (6)
A superdimension formula for gl(m|n) modules
Michael Chmutov, Rachel Karpman, Shifra Reif
We give a formula for the superdimension of a finite-dimensional simple gl(m|n)-module using the Su-Zhang character formula. As a corollary, we obtain a simple algebraic proof of a…
Total positivity for the Lagrangian Grassmannian
Rachel Karpman
The stratification of the Grassmannian by positroid varieties has been the subject of extensive research. Positroid varieties are in bijection with a number of combinatorial object…
Combinatorics of symmetric plabic graphs
Rachel Karpman, Yi Su
A plabic graph is a planar bicolored graph embedded in a disk, which satisfies some combinatorial conditions. Postnikov's boundary measurement map takes the space of positive edge…
Bridge graphs and Deodhar parametrizations for positroid varieties
Rachel Karpman
A parametrization of a positroid variety of dimension is a regular map which is birational onto a dense subset of . There ar…
Triangulations and soliton graphs for totally positive Grassmannian
Rachel Karpman, Yuji Kodama
The KP equation is a nonlinear dispersive wave equation which provides an excellent model for resonant interactions of shallow-water waves. It is well known that regular soliton so…
The Purity Conjecture in Type
Rachel Karpman
A collection of -element subsets of is weakly separated if for each , when the integers are arranged around…