154 citations · 804 across the 25 of their papers we have counts for
3 papers · 1 filter
Skew column RSK dynamics and the box-ball system
Takashi Imamura, Matteo Mucciconi, Tomohiro Sasamoto +1
The Fomin local rules for Schensted column insertion can be seen as a two-lane box-ball system, in which a carrier moves particles forward or laterally. Running such two-lane dynam…
Skew RSK dynamics: Greene invariants, affine crystals and applications to -Whittaker polynomials
Takashi Imamura, Matteo Mucciconi, Tomohiro Sasamoto
Iterating the skew RSK correspondence discovered by Sagan and Stanley in the late '80s, we define a deterministic dynamics on the space of pairs of skew Young tableaux . We…
Identity between Restricted Cauchy Sums for the -Whittaker and Skew Schur Polynomials
Takashi Imamura, Matteo Mucciconi, Tomohiro Sasamoto
The Cauchy identities play an important role in the theory of symmetric functions. It is known that Cauchy sums for the -Whittaker and the skew Schur polynomials produce the sam…