星野歩

ホシノアユム | Hoshino Ayumu

所属機関・部署：
職名：教授

研究分野 (2件)：代数学 , 基礎解析学

研究キーワード (2件)：可積分系 , 量子群

競争的資金等の研究課題 (4件)：

論文 (15件)：

Hoshino Ayumu, Ohkubo Yusuke, Shiraishi Jun'ichi. Branching formula for q-Toda functions of type B. Letters in Mathematical Physics. 2021. 111. 5. 126-134
Ayumu Hoshino, Jun'ichi Shiraishi. Branching rules for Koornwinder polynomials with one column diagrams and matrix inversions. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA). 2020. 16. 84-111
Hoshino A., Nakada K. Polyhedral realizations of crystal bases B(λ) for quantum algebras of nonexceptional affine types. Journal of Mathematical Physics. 2019. 60. 9. 091704
HOSHINO Ayumu, SHIRAISHI Jun'ichi. Macdonald Polynomials of Type C_n with One-Column Diagrams and Deformed Catalan Numbers. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA). 2018. 14. 101
HOSHINO Ayumu, NAKADA Kento. Polyhedral realizations of crystal bases B(λ) for D_n^(1). Communications in Algebra. 2016. 44. 5. 2193-2212

講演・口頭発表等 (9件)：

鈎型C型Macdonald多項式の明示公式とPieri型公式
(日本数学会2022年度秋季総合分科会(北海道大学) 無限可積分系セッション特別講演 2022)
Macdonald polynomials of type C_n with one-column diagrams and deformed Catalan numbers
(Symmetries and Integrability of Difference Equations (SIDE) 13, International Conference (Japan) 2018)
Tableau formulas for one-row Macdonald polynomials of type C_n
(Discrete Mathematics Seminar, The University of Vienna (Austria) 2018)
Tableau formulas for one-row Macdonald polynomials of type C_n
(Algebraic Enumerative Combinatorics in Okayama, Okayama University (Japan) 2018)
Deformed W algebras and tableau description of Macdonald polynomials
(International Conference on vertex operator algebras and related areas, Illinois State University (U.S.A.) 2008)

学位 (1件)：

所属学会 (1件)：

日本数学会

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星野 歩