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math.CO2016★ 19 cited
Transition formulas for involution Schubert polynomials
Zachary Hamaker, Eric Marberg, Brendan Pawlowski
The orbits of the orthogonal and symplectic groups on the flag variety are in bijection, respectively, with the involutions and fixed-point-free involutions in the symmetric group…
math.CO2016★ 34 cited
Involution words II: braid relations and atomic structures
Zachary Hamaker, Eric Marberg, Brendan Pawlowski
Involution words are variations of reduced words for twisted involutions in Coxeter groups. They arise naturally in the study of the Bruhat order, of certain Iwahori-Hecke algebra…