| 研究課題/領域番号 |
16K05057
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| 研究種目 |
基盤研究(C)
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| 配分区分 | 基金 |
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| 応募区分 | 一般 |
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| 研究分野 |
代数学
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| 研究機関 | 京都大学 |
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研究代表者 |
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| 研究期間 (年度) |
2016-04-01 – 2022-03-31
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| キーワード | Painleve / Poschl-Teller models / Umemura polynomials / Combinatorics |
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| 研究成果の概要 |
Proof of old standing Conjecture that the all coefficients of the two parameter Umemura polynomials are integer numbers and gave their explicit formulas (partly joint with M.Taneda and P. van Diejen). Some quantum and elliptic generalizations are suggested.
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| 自由記述の分野 |
Integrabl Systems, Combinatorics
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| 研究成果の学術的意義や社会的意義 |
Our results explained and proved Conjecture that coefficients of Umemura polynomials are integers , and pointed out on surprising connections of Painleve and Poschl-Teller models and Combinatorics and Representation Theory.
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