Organization
Research Field in Education, Law, Economics and the Humanities Area Faculty of Education Teacher Education Course (Mathematics Education) Associate Professor
Title
Associate Professor
External link
ARIKE Yusuke
Degree
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博士（理学） ( 2010.3 大阪大学 )
Research Interests
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Algebra
Research Areas
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Natural Science / Algebra
Education
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Osaka University Graduate School of Information Science and Technology Department of Pure and Applied Mathematics
2007.4 - 2010.3
Country： Japan
Research History
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Kagoshima University Research Field in Education, Law, Economics and the Humanities Area Faculty of Education Teacher Education Course (Mathematics Education) Associate Professor
2017.4
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University of Tsukuba Assistant Professor
2012.4 - 2017.3
Country：Japan
Professional Memberships
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The Mathematical Society of Japan
2008.10
Papers
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Yusuke Arike, Kiyokazu Nagatomo . Vertex operator algebras with central charges 164/5 and 236/7 . Communications in Number Theory and Physics14 ( 3 ) 487 - 509 2020.7Vertex operator algebras with central charges 164/5 and 236/7Reviewed
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Yusuke Arike, Kiyokazu Nagatomo, Yuichi Sakai . Vertex operator algebras, minimal models, and modular linear differential equations of order 4 . Journal of the Mathematical Society of Japan70 ( 4 ) 1347 - 1373 2018.10Reviewed
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Yusuke Arike, Kiyokazu Nagatomo, Yuichi Sakai . Characterization of the simple Virasoro vertex operator algebras with 2 and 3-dimensional space of characters . Contemporary Mathematics695 175 - 204 2017.8 Characterization of the simple Virasoro vertex operator algebras with 2 and 3-dimensional space of characters Reviewed
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Yusuke Arike, Masanobu Kaneko, Kiyokazu Nagatomo, Yuichi Sakai . Affine vertex operator algebras and modular linear differential equations . Letters in Mathematical Physics106 ( 5 ) 693 - 718 2016.5Reviewed
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Yusuke Arike, Kiyokazu Nagatomo . Some remarks on pseudo-trace functions for orbifold models associated with symplectic fermions . International Journal of Mathematics24 ( 2 ) 2013.2Reviewed
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Toshiyuki Abe, Yusuke Arike . Intertwining operators and fusion rules for vertex operator algebras arising from symplectic fermions . Journal of Algebra373 39 - 64 2013.1Reviewed
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Yusuke Arike . Logarithmic intertwining operators and the space of conformal blocks over the projective line . Letters in Mathematical Physics101 ( 1 ) 13 - 26 2012.7Reviewed
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Yusuke Arike . A matrix realization of the quantum group g_{p,q} . International Journal of Mathematics22 ( 3 ) 345 - 398 2011.3Reviewed
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Yusuke Arike . Some remarks on symmetric linear functions and pseudotrace maps . Proceedings of the Japan Academy, Series A, Mathematical Sciences86 ( 7 ) 119 - 124 2010.7Reviewed
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Yusuke Arike . A construction of symmetric linear functions on the restricted quantum group U_q(sl_2) . Osaka Journal of Mathematics47 ( 2 ) 535 - 557 2010.6Reviewed
Presentations
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有家雄介 頂点代数とモジュラー微分方程式 Invited
第68回代数学シンポジウム 2023.9
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Yusuke Arike Modular linear differential equations on the theta group and vertex operator superalgebras Invited International conference
Conference in finite groups and vertex algebras 2022.12
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Yusuke Arike Pseudo-trace functions Invited International conference
Vertex Operator Algebras and Related Topics in Kumamoto
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有家雄介 Vertex operator algebras and modular linear differential equations
第36回代数的組合せ論シンポジウム
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Yusuke Arike 164/5 and 236/7 Invited International conference
Vertex operator algebras, number theory and related topics
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有家雄介 Twisted super fusion products Invited
Finite Groups, VOAs, and Related Topics 2018
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Yusuke Arike Characters and modular linear differential equations of order 3 and 4 Invited International conference
Workshop on finite groups, VOA and algebraic combinatorics
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有家雄介, 永友清和, 境優一 Vertex operator algebras, minimal models, and modular linear differential equations
日本数学会年会
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有家雄介, 金子昌信, 永友清和, 境優一 Affine vertex operator algebras and modular linear differential equations
日本数学会年会
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Yusuke Arike Minimal models and modular linear differential equations of order 4 Invited
有限群とその表現, 頂点作用素代数, 組合せ論の研究
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Yusuke Arike Minimal models and modular linear differential equations of 4th order Invited International conference
Vertex Operator Algebras and Related Topics
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Yusuke Arike Characters of affine VOAs and modular differential equations Invited International conference
Taitung workshop on group theory, VOA and algebraic combinatorics
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Yusuke Arike Fusion rules for irreducible modules for symplectic fermionic VOAs Invited International conference
Hualien Workshop on Finite Groups, VOA, Algebraic Combinatorics and Related Topics
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Yusuke Arike Fusion products for symplectic fermionnic VOSA Invited International conference
Beyond the Moonshine
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Yusuke Arike Pseudo-trace functions on twisted modules Invited International conference
Taitung workshop on group theory, VOA and algebraic combinatorics
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有家雄介 Logarithmic intertwining operators for the symplectic fermionic vertex operator superalgebra Invited
ホップ代数と量子群--応用の可能性
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Yusuke Arike Fusion products for the symplectic fermionic vertex operator superalgebra Invited International conference
Conference on Vertex Operator Algebras and Related Topics
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安部利之, 有家雄介 Fusion rules for vertex operator algebras arising from symplectic fermoins International conference
日本数学会年会
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有家雄介 Logarithmic intertwining operators and 3-point conformal blocks over the projective line
日本数学会年会
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有家雄介 Pseudo-trace functions for vertex operator algebras arising from symplectic fermions Invited
有限群とその表現, 頂点作用素代数, 組合せ論の研究
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有家雄介, 永友清和 Pseudo-trace functions for vertex operator algebras associated with symplectic fermions
日本数学会秋季総合分科会
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Yusuke Arike Pseudo-trace functions for Z_2 orbifold models of symplectic fermionic vertex operator superalgebras Invited International conference
Conformal field theories and tensor categories
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有家雄介 Pseudo-trace functions for orbifold models associated with symplectic fermions
第14回代数群と量子群の表現論研究集会
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有家雄介 Pseudo-trace functions for orbifold models associated with symplectic fermions Invited
表現論セミナー
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有家雄介 Pseudo-trace maps and symmetric linear functions
日本数学会秋季総合分科会
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有家雄介 Symmetric linear functions on the quantum group g_{p,q}
日本数学会秋季総合分科会
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有家雄介 Symmetric linear functions of the restricted quantum group
日本数学会秋季総合分科会
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有家雄介 Restricted quantum group \bar{U}_q(sl_2)の対称線形関数
第11回代数群と量子群の表現論研究集会
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有家雄介 \bar{U}_q(sl_2)のsymmetric functionについて Invited
2+1次元トポロジーの新しい流れ
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有家雄介 \bar{U}_q(sl_2)の対称線形関数について Invited International conference
特別セミナー
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有家雄介 Twisted super fusion products
Finite Groups, VOAs, and Related Topics 2018 2018.3
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Yusuke Arike 164/5 and 236/7
Vertex operator algebras, number theory and related topics 2018.6