62 citations · 348 across the 73 of their papers we have counts for
5 papers · 1 filter
Polynomials for symmetric orbit closures in the flag variety
Benjamin J. Wyser, Alexander Yong
In [Wyser-Yong '13] we introduced polynomial representatives of cohomology classes of orbit closures in the flag variety, for the symmetric pair . We…
The Joseph Greenberg problem: combinatorics and comparative linguistics
Alexander Yong
We correct a 1957 combinatorial enumeration by the linguist J. Greenberg. The desired count, the Bell number B(25), supported using his Mass Comparison method for language classifi…
Root-theoretic Young diagrams and Schubert calculus: planarity and the adjoint varieties
Dominic Searles, Alexander Yong
We study root-theoretic Young diagrams to investigate the existence of a Lie-type uniform and nonnegative combinatorial rule for Schubert calculus. We provide formulas for (co)adjo…
Polynomials for GL_p x GL_q orbit closures in the flag variety
Benjamin J. Wyser, Alexander Yong
The subgroup K=GL_p x GL_q of GL_{p+q} acts on the (complex) flag variety GL_{p+q}/B with finitely many orbits. We introduce a family of polynomials that specializes to representat…
Combinatorial rules for three bases of polynomials
Colleen Ross, Alexander Yong
We present combinatorial rules (one theorem and two conjectures) concerning three bases of Z[x1,x2,....]. First, we prove a "splitting" rule for the basis of key polynomials [Demaz…