Research keywords (4):
数理物理学
, 表現論
, Mathematical Physics
, Representation Theory
Research theme for competitive and other funds (19):
2021 - 2026 Representation theory of vertex algebras for the 21st century
2019 - 2025 Deepening the theory of vertex algebras by international joint researches
2020 - 2023 二次元及び四次元の共型場理論に付随した頂点作用素代数の構成と分類
2020 - 2023 二次元及び四次元の共型場理論に付随した頂点作用素代数の構成と分類
2019 - 2023 Vertex algebras and 4-dimensional supersymmetric quantum field theories
2017 - 2022 W代数とその応用
2016 - 2021 Relation between representations at the critical level and those of level zero for affine Lie algebras and semi-infinite flag manifolds
2017 - 2020 クラスSカイラル代数とシンプレクティック幾何
2014 - 2017 Geometric methods in vertex algebras
2014 - 2017 Research on code vertex operator algebras using parafermion algebras
2013 - 2017 New developments of representation theory of W-algebras
2011 - 2013 New developments of vertex algebra theory
2011 - 2013 Research on vertex operator algebras associated with parafermion algebras
2008 - 2010 Research on irreducible representations of W-algebras by using lattice vertex operator algebras
2007 - 2009 Developments of nilpotent geometry and nilpotent analysis
2007 - 2008 New developments in representation theories of vertex operator algebras and their applications
2008 - 頂点代数、特にW代数の総合的研究
2005 - 2007 場の理論と表現論
場の量子論と表現論
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Papers (51):
Tomoyuki Arakawa, Jethro van Ekeren. Rationality and fusion rules of exceptional $\mathcal {W}$-algebras. Journal of the European Mathematical Society. 2023. 25. 7. 2763-2813
Tomoyuki Arakawa, Jethro van Ekeren, Anne Moreau. On the nilpotent orbits arising from admissible affine vertex algebras. Proceedings of the London Mathematical Society. 2022. 125. 3. 681-699
Tomoyuki Arakawa, Thomas Creutzig, Boris Feigin. Urod algebras and Translation of W-algebras. Forum of Mathematics, Sigma. 2022. 10
Tomoyuki Arakawa, Kazuya Kawasetsu, Julien Sebag. A question of Joseph Ritt from the point of view of vertex algebras. Journal of Algebra. 2021. 588. 118-128
Tomoyuki Arakawa, Anne Moreau. Arc Spaces and Chiral Symplectic Cores. Publications of the Research Institute for Mathematical Sciences. 2021. 57. 3. 795-829
Arakawa Tomoyuki. TWO-SIDED BGG RESOLUTIONS AND APPLICATIONS (Combinatorial Representation Theory and Related Topics). RIMS Kokyuroku. 2013. 1870. 77-83