Arakawa, Tomoyuki
- Quasi-lisse vertex algebras and modular linear differential equations
2016/10/19 by Tomoyuki Arakawa, Arakawa, Tomoyuki, Kazuya Kawasetsu +1 · 5 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Advanced Topics in Algebra #Nonlinear Waves and Solitons
- Representation Theory of W-Algebras
2005/06/03 by Tomoyuki Arakawa, Arakawa, Tomoyuki · 4 citations
Mathematics · #17B68 #81R10 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #Representation Theory (math.RT)
- Modularity of Relatively Rational Vertex Algebras and Fusion Rules of Principal Affine W-Algebras
2016/12/29 by Arakawa, Tomoyuki, van Ekeren, Jethro · 4 citations
#FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT)
- Introduction to W-algebras and their representation theory
2016/04/30 by Arakawa, Tomoyuki · 2 citations
#FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #Representation Theory (math.RT)
- Parafermion vertex operator algebras and W-algebras
2017/01/22 by Tomoyuki Arakawa, Arakawa, Tomoyuki, Ching Hung Lam +3 · 1 citation
Mathematics · #Algebraic structures and combinatorial models #Advanced Topics in Algebra #Advanced Operator Algebra Research
- Rationality and Fusion Rules of Exceptional W-Algebras
2019/05/27 by Arakawa, Tomoyuki, van Ekeren, Jethro · 2 citations
#FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #Representation Theory (math.RT)
- Generalized Grothendieck's simultaneous resolution and associated varieties of simple affine vertex algebras
2024/04/02 by Arakawa, Tomoyuki, Futorny, Vyacheslav, Krizka, Libor · 2 citations
#17B67 #17B69 #4M17 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Representation Theory (math.RT)
- Urod algebras and Translation of W-algebras
2020/10/06 by Arakawa, Tomoyuki, Creutzig, Thomas, Feigin, Boris · 1 citation
#FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Algebra (math.QA) #Representation Theory (math.RT)
- Weight representations of affine Kac-Moody algebras and small quantum groups
2023/11/16 by Tomoyuki Arakawa, Thomas Creutzig, Arakawa, Tomoyuki +3 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #Representation Theory (math.RT)
- On some simple orbifold affine VOAs at non-admissible level arising from rank one 4D SCFTs
2024/03/07 by Tomoyuki Arakawa, Arakawa, Tomoyuki, Xuanzhong Dai +7 · 1 citation
Engineering · #Advanced Fiber Optic Sensors #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Algebra (math.QA) #Representation Theory (math.RT)