559 citations · 1k across the 44 of their papers we have counts for
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Quiver Grassmannians and their Euler characteristics: Oberwolfach talk, May 2010
Andrei Zelevinsky
This is an extended abstract of my talk at the Oberwolfach Workshop "Interactions between Algebraic Geometry and Noncommutative Algebra" (May 10 - 14, 2010). We present some proper…
Connected components of real double Bruhat cells
Andrei Zelevinsky
Double Bruhat cells in a semisimple group are intersections of cells in two Bruhat decompositions corresponding to two opposite Borel subgroups. They form a geometric framework for…
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.
Symplectic multiple flag varieties of finite type
Peter Magyar, Jerzy Weyman, Andrei Zelevinsky
Problem: Given a reductive algebraic group G, find all k-tuples of parabolic subgroups (P_1,...,P_k) such that the product of flag varieties G/P_1 x ... x G/P_k has finitely many o…
Multiple Flag Varieties of Finite Type
Peter Magyar, Jerzy Weyman, Andrei Zelevinsky
We classify all products of flag varieties with finitely many orbits under the diagonal action of the general linear group. We also classify the orbits in each case and construct e…