前田高士Maeda Takashi

琉球大学 · 理学部 · 教授

留学神社

基本情報

琉球大学 · 理学部 · 教授

研究キーワードRepresentation Theory・Nilpotent Endomorphisms・Invariant Subspaces・Orbital Varieties・Algebraic Combinatorics・Littlewood-Richardson Tableaux

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On expected waiting time until given words appear in random sequence2023 · We provide a formula for the expected waiting time more than one words appear among given words in a random sequence, and show that distributions of random variables of waiting times and their reversals are the same.
Correspondence between orbital varieties and sets of subspaces stable under nilpotent endomorphism2020 · From the bijective correspondence between standard tableaux T of shape \lambda and left LR words L of weight \lambda^*, we show that generic points of orbital variety V_T and set X(T_L) of subspaces stable under a nilpotent linear endomorphism describe each other. As a resuclt, ordering defined by inclusions of closures correspond.
The bundaries of the sets of subspaces stable under a nilpotent linear transformation2018 · Let f: V\to V be the nilpotent endomorophism of Jordan type \la and T be an LR tableau of shape \la/\mu and weight \nu. We investigate boundaries of X(T) in Grasmannain G(V,n) consistsing of f-stable subspaces W of dimension n in V with Jordan type of V/W and W equal to \mu and \nu, respectively.
LR-fillings and partial ordering of LR-tableaux2014 · Takashi Maed

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