Shibukawa Youichi

シブカワヨウイチ | Shibukawa Youichi

Affiliation and department：

Research field (1)： Algebra

Research keywords (4)： Hopf algebroid , dynamical Yang-Baxter map , Representation theory of quantum groups , Quantum Yang-Baxter equation

Research theme for competitive and other funds (24)：

2017 - 2021 ダイナミカル・ヤン・バクスター写像から定まる2つの代数の森田同値性
2014 - 2017 Study of solutions to the reflection equation associated with dynamical Yang-Baxter maps
2010 - 2014 Dynamical Yang-Baxter maps and Hopf algebroids
2010 - 2012 Geometric invariants and model theory for singular unitary representations
2007 - 2009 Studies of algebro-geometric aspects on dynamical Yang-Baxter maps

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Papers (18)：

Yudai Otsuto, Youichi Shibukawa. FRT construction of Hopf algebroids. Toyama Mathematical Journal. 2021. 42
Noriaki Kamiya, Youichi Shibukawa. Dynamical Yang-Baxter maps and weak Hopf algebras associated with quandles. Proceedings of the Meeting for Study of Number Theory, Hopf Algebras and Related Topics. 2019. 1-23
Youichi Shibukawa. Hopf algebroids and rigid tensor categories associated with dynamical Yang-Baxter maps. JOURNAL OF ALGEBRA. 2016. 449. 408-445
Diogo Kendy Matsumoto, Youichi Shibukawa. Quantum Yang-Baxter Equation, Braided Semigroups, and Dynamical Yang-Baxter Maps. TOKYO JOURNAL OF MATHEMATICS. 2015. 38. 1. 227-237
Noriaki Kamiya, Youichi Shibukawa. Dynamical Yang-Baxter Maps Associated with Homogeneous Pre-Systems. Journal of Generalized Lie Theory and Applications. 2011. 5

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MISC (10)：

Ryosuke Ashikaga, Youichi Shibukawa. Dynamical reflection maps. https://doi.org/10.48550/arXiv.2209.10079. 2022
澁川陽一. ヤン・バクスター方程式からホップ亜代数へ. 代数学シンポジウム報告集. 2019
Youichi Shibukawa. Dynamical braided monoids and dynamical Yang-Baxter maps. RIMS Kokyuroku. 2010. 1714. 80-89
SHIBUKAWA Youichi. Dynamical Yang-Baxter maps. RIMS Kokyuroku. 2009. 1647. 81-96
Youichi Shibukawa. On the classification of R-operators. RIMS Kokyuroku. 2002. 1245. 25-35

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Books (1)：

Lectures and oral presentations (16)：

ホップ亜代数のFRT構成法
(日本数学会2021年度秋季総合分科会無限可積分系セッション 2021)
ヤン・バクスター方程式からホップ亜代数へ
(第63回代数学シンポジウム 2018)
Dynamical Yang-Baxter maps and quandles
(Meeting for Study of Number theory, Hopf algebras and related topics 2017)
Hopf algebroids by means of parallelepipeds
(Hopf-Algebra Conference in Tsukuba 2016)
Hopf algebroids and dynamical Yang-Baxter maps
(Tsukuba Mini-conference on Hopf algebras and differential Galois theory 2015)

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Professional career (1)：

Association Membership(s) (2)：

日本数学会 , Mathematical Society of Japan

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