3 papers
math.CO2026
RSK correspondence for King tableaux with Berele insertion
Masato Kobayashi, Tomoo Matsumura
We establish a bijective RSK correspondence of type C for King tableaux with Berele insertion as a reformulation of Sundaram's correspondence (1986). For its -symbol, we make us…
math.CO2026
Symmetry of the generating function of semistandard oscillating tableaux
Masato Kobayashi, Tomoo Matsumura, Shogo Sugimoto
H.Choi-D.Kim-S.J.Lee and S.J.Lee introduced a new kind of tableaux, semistandard oscillating tableaux (SSOT), around 2024 in the context of Lusztig -weight multiplicities, KR cr…
math.CO2025
Crystal skeleton polynomials with major index, charge and depth
Masato Kobayashi
We introduce a new family of polynomials, crystal skeleton polynomials, to better understand enumeration of standard Young tableaux, quasi-Yamanouchi tableaux and interactions with…