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math.CO2021★ 2 cited
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…
math.CO2021★ 3 cited
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…