11 citations · 47 across the 7 of their papers we have counts for
4 papers · 1 filter
Total positivity: tests and parametrizations
Sergey Fomin, Andrei Zelevinsky
An introduction to total positivity (TP), with the emphasis on efficient TP criteria and parametrizations of TP matrices. Intended for general mathematical audience.
Tensor product multiplicities, canonical bases and totally positive varieties
Arkady Berenstein, Andrei Zelevinsky
We obtain a family of explicit "polyhedral" combinatorial expressions for multiplicities in the tensor product of two simple finite-dimensional modules over a complex semisimple Li…
Simply-laced Coxeter groups and groups generated by symplectic transvections
Boris Shapiro, Michael Shapiro, Alek Vainshtein +1
Let W be an arbitrary Coxeter group of simply-laced type (possibly infinite but of finite rank), u,v be any two elements in W, and i be a reduced word (of length m) for the pair (u…
Multiplicities of Points on Schubert Varieties in Grassmannians
J. Rosenthal, A. Zelevinsky
We obtain an explicit determinantal formula for the multiplicity of any point on a classical Schubert variety.