105 citations · 532 across the 58 of their papers we have counts for
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On some actions of the 0-Hecke monoids of affine symmetric groups
Eric Marberg
There are left and right actions of the 0-Hecke monoid of the affine symmetric group on involutions whose cycles are labeled periodically by nonnegative integers. Usi…
Fixed-point-free involutions and Schur P-positivity
Zachary Hamaker, Eric Marberg, Brendan Pawlowski
The orbits of the symplectic group acting on the type A flag variety are indexed by the fixed-point-free involutions in a finite symmetric group. The cohomology classes of the clos…
Braid relations for involution words in affine Coxeter groups
Eric Marberg
We describe an algorithm to identify a minimal set of "braid relations" which span and preserve all sets of involution words for twisted Coxeter systems of finite or affine type. W…
Schur P-positivity and involution Stanley symmetric functions
Zachary Hamaker, Eric Marberg, Brendan Pawlowski
The involution Stanley symmetric functions are the stable limits of the analogues of Schubert polynomials for the orbits of the orthogonal group in the flag variety. Th…