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math.CO2024
Partial order on involutive permutations and double Schubert cells
Evgeny Smirnov
As shown by A. Melnikov, the orbits of a Borel subgroup acting by conjugation on upper-triangular matrices with square zero are indexed by involutions in the symmetric group. The i…
math.CO2023
Lascoux polynomials and subdivisions of Gelfand-Zetlin polytopes
Ekaterina Presnova, Evgeny Smirnov
We give a new combinatorial description for stable Grothendieck polynomials in terms of subdivisions of Gelfand-Zetlin polytopes. Moreover, these subdivisions also provide a descri…