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Author ID: arakawa.tomoyuki Recent zbMATH articles by "Arakawa, Tomoyuki"
Published as: Arakawa, Tomoyuki; Arakawa, T.
Homepage: http://www.kurims.kyoto-u.ac.jp/~arakawa/index-e.html

Publications by Year

Citations contained in zbMATH Open

49 Publications have been cited 928 times in 375 Documents Cited by Year
Representation theory of \(\mathcal{W}\)-algebras. Zbl 1172.17019
Arakawa, Tomoyuki
65
2007
Rationality of \(W\)-algebras: principal nilpotent cases. Zbl 1394.17058
Arakawa, Tomoyuki
60
2015
Associated varieties of modules over Kac-Moody algebras and \(C_2\)-cofiniteness of \(W\)-algebras. Zbl 1335.17011
Arakawa, Tomoyuki
57
2015
\(W\)-algebras as coset vertex algebras. Zbl 1459.17045
Arakawa, Tomoyuki; Creutzig, Thomas; Linshaw, Andrew R.
48
2019
A remark on the \(C_2\)-cofiniteness condition on vertex algebras. Zbl 1351.17031
Arakawa, Tomoyuki
45
2012
Rationality of admissible affine vertex algebras in the category \(\mathcal O\). Zbl 1395.17057
Arakawa, Tomoyuki
45
2016
Representation theory of superconformal algebras and the Kac-Roan-Wakimoto conjecture. Zbl 1112.17026
Arakawa, Tomoyuki
44
2005
Duality between \(\mathfrak{sl}_n(\mathbb C)\) and the degenerate affine Hecke algebra. Zbl 0919.17005
Arakawa, Tomoyuki; Suzuki, Takeshi
42
1998
Quasi-lisse vertex algebras and modular linear differential equations. Zbl 1459.17046
Arakawa, Tomoyuki; Kawasetsu, Kazuya
39
2018
Zhu’s algebra, \(C_2\)-algebra and \(C_2\)-cofiniteness of parafermion vertex operator algebras. Zbl 1342.17017
Arakawa, Tomoyuki; Lam, Ching Hung; Yamada, Hiromichi
38
2014
Introduction to \(W\)-algebras and their representation theory. Zbl 1430.17082
Arakawa, Tomoyuki
36
2017
Joseph ideals and lisse minimal \(w\)-algebras. Zbl 1416.17014
Arakawa, Tomoyuki; Moreau, Anne
33
2018
Orbifolds and cosets of minimal \({\mathcal{W}}\)-algebras. Zbl 1407.17030
Arakawa, Tomoyuki; Creutzig, Thomas; Kawasetsu, Kazuya; Linshaw, Andrew R.
31
2017
Rationality of Bershadsky-Polyakov vertex algebras. Zbl 1319.17015
Arakawa, Tomoyuki
27
2013
Cosets of Bershadsky-Polyakov algebras and rational \({\mathcal W}\)-algebras of type \(A\). Zbl 1407.17031
Arakawa, Tomoyuki; Creutzig, Thomas; Linshaw, Andrew R.
24
2017
Sheets and associated varieties of affine vertex algebras. Zbl 1425.17032
Arakawa, Tomoyuki; Moreau, Anne
22
2017
Explicit generators in rectangular affine \(\mathcal {W}\)-algebras of type \(A\). Zbl 1415.17027
Arakawa, Tomoyuki; Molev, Alexander
22
2017
Modularity of relatively rational vertex algebras and fusion rules of principal affine \(W\)-algebras. Zbl 1429.17027
Arakawa, Tomoyuki; van Ekeren, Jethro
21
2019
Parafermion vertex operator algebras and \(W\)-algebras. Zbl 1472.17088
Arakawa, Tomoyuki; Lam, Ching Hung; Yamada, Hiromichi
20
2019
Weight representations of admissible affine vertex algebras. Zbl 1406.17037
Arakawa, Tomoyuki; Futorny, Vyacheslav; Ramirez, Luis Enrique
19
2017
Drinfeld functor and finite-dimensional representations of Yangian. Zbl 0964.17012
Arakawa, Tomoyuki
14
1999
Representation theory of \(W\)-algebras. II. Zbl 1262.17014
Arakawa, Tomoyuki
12
2011
On the restricted Verma modules at the critical level. Zbl 1352.17025
Arakawa, Tomoyuki; Fiebig, Peter
12
2012
Vanishing of cohomology associated to quantized Drinfeld-Sokolov reduction. Zbl 1077.17017
Arakawa, Tomoyuki
11
2004
Two-sided BGG resolutions of admissible representations. Zbl 1367.17019
Arakawa, Tomoyuki
11
2014
Localization of affine \(W\)-algebras. Zbl 1393.17040
Arakawa, T.; Kuwabara, T.; Malikov, F.
11
2015
On the irreducibility of associated varieties of \(W\)-algebras. Zbl 1383.81102
Arakawa, Tomoyuki; Moreau, Anne
10
2018
Quantum Langlands duality of representations of \(\mathcal{W}\)-algebras. Zbl 1475.17041
Arakawa, Tomoyuki; Frenkel, Edward
10
2019
Degenerate double affine Hecke algebra and conformal field theory. Zbl 0932.17026
Arakawa, Tomoyuki; Suzuki, Takeshi; Tsuchiya, Akihiro
9
1998
Quantizing Mishchenko-Fomenko subalgebras for centralizers via affine \(W\)-algebras. Zbl 1441.17012
Arakawa, Tomoyuki; Premet, A.
9
2017
The linkage principle for restricted critical level representations of affine Kac-Moody algebras. Zbl 1343.17016
Arakawa, Tomoyuki; Fiebig, Peter
9
2012
Algebras of twisted chiral differential operators and affine localization of \(\mathfrak{g}\)-modules. Zbl 1233.17021
Arakawa, Tomoyuki; Chebotarov, Dmytro; Malikov, Fyodor
7
2011
Spectral decomposition of path space in solvable lattice model. Zbl 0876.17034
Arakawa, Tomoyuki; Nakanishi, Tomoki; Oshima, Kazuyuki; Tsuchiya, Akihiro
7
1996
Modular affine vertex algebras and baby Wakimoto modules. Zbl 1402.17034
Arakawa, Tomoyuki; Wang, Weiqiang
7
2016
Urod algebras and translation of \(W\)-algebras. Zbl 1501.17021
Arakawa, Tomoyuki; Creutzig, Thomas; Feigin, Boris
7
2022
\(W\)-algebras at the critical level. Zbl 1328.17021
Arakawa, Tomoyuki
7
2012
Representation theory of \(W\)-algebras and Higgs branch conjecture. Zbl 1447.81176
Arakawa, Tomoyuki
6
2018
Arc spaces and chiral symplectic cores. Zbl 1490.17030
Arakawa, Tomoyuki; Moreau, Anne
5
2021
Singular support of a vertex algebra and the arc space of its associated scheme. Zbl 1436.17036
Arakawa, Tomoyuki; Linshaw, Andrew R.
5
2019
Associated varieties and Higgs branches (a survey). Zbl 1437.17012
Arakawa, Tomoyuki
5
2018
Coset vertex operator algebras and \(\mathcal W\)-algebras of \(A\)-type. Zbl 1417.17028
Arakawa, Tomoyuki; Jiang, Cuipo
4
2018
Vertex operator algebras associated with \(\mathbb Z/k\mathbb Z\)-codes. Zbl 1394.17059
Arakawa, Tomoyuki; Yamada, Hiromichi; Yamauchi, Hiroshi
2
2016
Rationality and fusion rules of exceptional \(\mathcal{W}\)-algebras. Zbl 07714623
Arakawa, Tomoyuki; van Ekeren, Jethro
2
2023
Singular vectors and Zhu’s Poisson algebra of parafermion vertex operator algebras. Zbl 1269.81062
Arakawa, Tomoyuki; Lam, Ching Hung; Yamada, Hiromichi
2
2013
A question of Joseph Ritt from the point of view of vertex algebras. Zbl 1477.12002
Arakawa, Tomoyuki; Kawasetsu, Kazuya; Sebag, Julien
2
2021
A new proof of the Kac-Kazhdan conjecture. Zbl 1134.17009
Arakawa, Tomoyuki
1
2006
A chiral Borel-Weil-Bott theorem. Zbl 1269.17004
Arakawa, Tomoyuki; Malikov, Fyodor
1
2012
\(\mathbb{Z}_k\)-code vertex operator algebras. Zbl 1481.17039
Arakawa, Tomoyuki; Yamada, Hiromichi; Yamauchi, Hiroshi
1
2021
Simplicity of vacuum modules and associated varieties. (Simplicité des algèbres vertex affines et variétés associées.) Zbl 1489.17023
Arakawa, Tomoyuki; Jiang, Cuipo; Moreau, Anne
1
2021
Rationality and fusion rules of exceptional \(\mathcal{W}\)-algebras. Zbl 07714623
Arakawa, Tomoyuki; van Ekeren, Jethro
2
2023
Urod algebras and translation of \(W\)-algebras. Zbl 1501.17021
Arakawa, Tomoyuki; Creutzig, Thomas; Feigin, Boris
7
2022
Arc spaces and chiral symplectic cores. Zbl 1490.17030
Arakawa, Tomoyuki; Moreau, Anne
5
2021
A question of Joseph Ritt from the point of view of vertex algebras. Zbl 1477.12002
Arakawa, Tomoyuki; Kawasetsu, Kazuya; Sebag, Julien
2
2021
\(\mathbb{Z}_k\)-code vertex operator algebras. Zbl 1481.17039
Arakawa, Tomoyuki; Yamada, Hiromichi; Yamauchi, Hiroshi
1
2021
Simplicity of vacuum modules and associated varieties. (Simplicité des algèbres vertex affines et variétés associées.) Zbl 1489.17023
Arakawa, Tomoyuki; Jiang, Cuipo; Moreau, Anne
1
2021
\(W\)-algebras as coset vertex algebras. Zbl 1459.17045
Arakawa, Tomoyuki; Creutzig, Thomas; Linshaw, Andrew R.
48
2019
Modularity of relatively rational vertex algebras and fusion rules of principal affine \(W\)-algebras. Zbl 1429.17027
Arakawa, Tomoyuki; van Ekeren, Jethro
21
2019
Parafermion vertex operator algebras and \(W\)-algebras. Zbl 1472.17088
Arakawa, Tomoyuki; Lam, Ching Hung; Yamada, Hiromichi
20
2019
Quantum Langlands duality of representations of \(\mathcal{W}\)-algebras. Zbl 1475.17041
Arakawa, Tomoyuki; Frenkel, Edward
10
2019
Singular support of a vertex algebra and the arc space of its associated scheme. Zbl 1436.17036
Arakawa, Tomoyuki; Linshaw, Andrew R.
5
2019
Quasi-lisse vertex algebras and modular linear differential equations. Zbl 1459.17046
Arakawa, Tomoyuki; Kawasetsu, Kazuya
39
2018
Joseph ideals and lisse minimal \(w\)-algebras. Zbl 1416.17014
Arakawa, Tomoyuki; Moreau, Anne
33
2018
On the irreducibility of associated varieties of \(W\)-algebras. Zbl 1383.81102
Arakawa, Tomoyuki; Moreau, Anne
10
2018
Representation theory of \(W\)-algebras and Higgs branch conjecture. Zbl 1447.81176
Arakawa, Tomoyuki
6
2018
Associated varieties and Higgs branches (a survey). Zbl 1437.17012
Arakawa, Tomoyuki
5
2018
Coset vertex operator algebras and \(\mathcal W\)-algebras of \(A\)-type. Zbl 1417.17028
Arakawa, Tomoyuki; Jiang, Cuipo
4
2018
Introduction to \(W\)-algebras and their representation theory. Zbl 1430.17082
Arakawa, Tomoyuki
36
2017
Orbifolds and cosets of minimal \({\mathcal{W}}\)-algebras. Zbl 1407.17030
Arakawa, Tomoyuki; Creutzig, Thomas; Kawasetsu, Kazuya; Linshaw, Andrew R.
31
2017
Cosets of Bershadsky-Polyakov algebras and rational \({\mathcal W}\)-algebras of type \(A\). Zbl 1407.17031
Arakawa, Tomoyuki; Creutzig, Thomas; Linshaw, Andrew R.
24
2017
Sheets and associated varieties of affine vertex algebras. Zbl 1425.17032
Arakawa, Tomoyuki; Moreau, Anne
22
2017
Explicit generators in rectangular affine \(\mathcal {W}\)-algebras of type \(A\). Zbl 1415.17027
Arakawa, Tomoyuki; Molev, Alexander
22
2017
Weight representations of admissible affine vertex algebras. Zbl 1406.17037
Arakawa, Tomoyuki; Futorny, Vyacheslav; Ramirez, Luis Enrique
19
2017
Quantizing Mishchenko-Fomenko subalgebras for centralizers via affine \(W\)-algebras. Zbl 1441.17012
Arakawa, Tomoyuki; Premet, A.
9
2017
Rationality of admissible affine vertex algebras in the category \(\mathcal O\). Zbl 1395.17057
Arakawa, Tomoyuki
45
2016
Modular affine vertex algebras and baby Wakimoto modules. Zbl 1402.17034
Arakawa, Tomoyuki; Wang, Weiqiang
7
2016
Vertex operator algebras associated with \(\mathbb Z/k\mathbb Z\)-codes. Zbl 1394.17059
Arakawa, Tomoyuki; Yamada, Hiromichi; Yamauchi, Hiroshi
2
2016
Rationality of \(W\)-algebras: principal nilpotent cases. Zbl 1394.17058
Arakawa, Tomoyuki
60
2015
Associated varieties of modules over Kac-Moody algebras and \(C_2\)-cofiniteness of \(W\)-algebras. Zbl 1335.17011
Arakawa, Tomoyuki
57
2015
Localization of affine \(W\)-algebras. Zbl 1393.17040
Arakawa, T.; Kuwabara, T.; Malikov, F.
11
2015
Zhu’s algebra, \(C_2\)-algebra and \(C_2\)-cofiniteness of parafermion vertex operator algebras. Zbl 1342.17017
Arakawa, Tomoyuki; Lam, Ching Hung; Yamada, Hiromichi
38
2014
Two-sided BGG resolutions of admissible representations. Zbl 1367.17019
Arakawa, Tomoyuki
11
2014
Rationality of Bershadsky-Polyakov vertex algebras. Zbl 1319.17015
Arakawa, Tomoyuki
27
2013
Singular vectors and Zhu’s Poisson algebra of parafermion vertex operator algebras. Zbl 1269.81062
Arakawa, Tomoyuki; Lam, Ching Hung; Yamada, Hiromichi
2
2013
A remark on the \(C_2\)-cofiniteness condition on vertex algebras. Zbl 1351.17031
Arakawa, Tomoyuki
45
2012
On the restricted Verma modules at the critical level. Zbl 1352.17025
Arakawa, Tomoyuki; Fiebig, Peter
12
2012
The linkage principle for restricted critical level representations of affine Kac-Moody algebras. Zbl 1343.17016
Arakawa, Tomoyuki; Fiebig, Peter
9
2012
\(W\)-algebras at the critical level. Zbl 1328.17021
Arakawa, Tomoyuki
7
2012
A chiral Borel-Weil-Bott theorem. Zbl 1269.17004
Arakawa, Tomoyuki; Malikov, Fyodor
1
2012
Representation theory of \(W\)-algebras. II. Zbl 1262.17014
Arakawa, Tomoyuki
12
2011
Algebras of twisted chiral differential operators and affine localization of \(\mathfrak{g}\)-modules. Zbl 1233.17021
Arakawa, Tomoyuki; Chebotarov, Dmytro; Malikov, Fyodor
7
2011
Representation theory of \(\mathcal{W}\)-algebras. Zbl 1172.17019
Arakawa, Tomoyuki
65
2007
A new proof of the Kac-Kazhdan conjecture. Zbl 1134.17009
Arakawa, Tomoyuki
1
2006
Representation theory of superconformal algebras and the Kac-Roan-Wakimoto conjecture. Zbl 1112.17026
Arakawa, Tomoyuki
44
2005
Vanishing of cohomology associated to quantized Drinfeld-Sokolov reduction. Zbl 1077.17017
Arakawa, Tomoyuki
11
2004
Drinfeld functor and finite-dimensional representations of Yangian. Zbl 0964.17012
Arakawa, Tomoyuki
14
1999
Duality between \(\mathfrak{sl}_n(\mathbb C)\) and the degenerate affine Hecke algebra. Zbl 0919.17005
Arakawa, Tomoyuki; Suzuki, Takeshi
42
1998
Degenerate double affine Hecke algebra and conformal field theory. Zbl 0932.17026
Arakawa, Tomoyuki; Suzuki, Takeshi; Tsuchiya, Akihiro
9
1998
Spectral decomposition of path space in solvable lattice model. Zbl 0876.17034
Arakawa, Tomoyuki; Nakanishi, Tomoki; Oshima, Kazuyuki; Tsuchiya, Akihiro
7
1996
all top 5

Cited by 332 Authors

45 Creutzig, Thomas
36 Arakawa, Tomoyuki
20 Adamović, Dražen
17 Linshaw, Andrew Ross
15 Kac, Victor
15 Milas, Antun
14 Ridout, David
12 Molev, Alexander I.
11 Jiang, Cuipo
11 Kawasetsu, Kazuya
9 Hikida, Yasuaki
8 Gaiotto, Davide
8 Kanade, Shashank
8 Moreau, Anne
8 Papi, Paolo
7 Futorny, Vyacheslav M.
7 Genra, Naoki
7 Lam, Ching Hung
7 Lin, Xingjun
7 Möseneder Frajria, Pierluigi
7 Stroppel, Catharina H.
7 Wang, Qing
6 Dong, Chongying
6 Khoroshkin, Sergey M.
6 Perše, Ozren
6 Yamada, Hiromichi
6 Yang, Jinwei
5 Beem, Christopher
5 Lin, Zongzhu
5 Nakatsuka, Shigenori
5 Peelaers, Wolfger
5 Wakimoto, Minoru
4 Brundan, Jonathan
4 Dhillon, Gurbir
4 Li, Haisheng
4 Mu, Qiang
4 Nazarov, Maxim Leonidovich
4 Procházka, Tomáš
4 Ragoucy, Eric
4 Rastelli, Leonardo
4 van Ekeren, Jethro
3 Ai, Chunrui
3 Al-Ali, Masoumah
3 Bao, Jiakang
3 Bringmann, Kathrin
3 Carpi, Sebastiano
3 Chan, Kei Yuen
3 Ciubotaru, Dan
3 Córdova, Clay
3 Fehily, Zachary
3 Gorelik, Maria
3 Jing, Naihuan
3 Kodera, Ryosuke
3 Kuwabara, Toshiro
3 Lapid, Erez Moshe
3 Lemos, Madalena
3 Lentner, Simon D.
3 Ma, Xiaoguang
3 Malikov, Fyodor
3 Martone, Mario
3 McRae, Robert
3 Pan, Yiwen
3 Penn, Michael
3 Raskin, Sam
3 Ren, Li
3 Shao, Shu-Heng
3 Song, Jaewon
3 Suzuki, Takeshi
3 Ueda, Mamoru
3 Wood, Simon James
3 Yakimova, Oksana S.
3 Yamauchi, Hiroshi
2 Bae, Jinbeom
2 Borot, Gaëtan
2 Calvert, Kieran
2 Caradot, Antoine
2 Chen, Hongjia
2 Costello, Kevin Joseph
2 Daugherty, Zajj
2 Diaconescu, Duiliu-Emanuel
2 Dimofte, Tudor Dan
2 Eberhardt, Lorenz
2 Feĭgin, Boris L’vovich
2 Fiebig, Peter
2 Flandoli, Ilaria
2 Fredrickson, Laura
2 Frenkel, Edward V.
2 Gavrylenko, Pavlo
2 Guay, Nicolas
2 Gui, Bin
2 Gukov, Sergei
2 Gurevich, Maksim Isidorovich
2 Heluani, Reimundo
2 Huang, Yi-Zhi
2 Jennings-Shaffer, Chris
2 Jiao, Xiangyu
2 Kleshchev, Alexander S.
2 Kontrec, Ana
2 Křižka, Libor
2 Kwon, Namhee
...and 232 more Authors
all top 5

Cited in 67 Serials

43 Journal of High Energy Physics
42 Journal of Algebra
39 Communications in Mathematical Physics
34 Advances in Mathematics
19 Letters in Mathematical Physics
14 Transformation Groups
12 Transactions of the American Mathematical Society
12 Selecta Mathematica. New Series
12 Representation Theory
10 Journal of Pure and Applied Algebra
9 Nuclear Physics. B
9 Mathematische Zeitschrift
9 Communications in Contemporary Mathematics
7 Journal of Mathematical Physics
6 Duke Mathematical Journal
4 Inventiones Mathematicae
4 Publications of the Research Institute for Mathematical Sciences, Kyoto University
3 Journal of Geometry and Physics
3 Compositio Mathematica
3 Proceedings of the American Mathematical Society
3 Transactions of the Moscow Mathematical Society
3 Journal of Physics A: Mathematical and Theoretical
3 Science China. Mathematics
3 European Journal of Mathematics
2 Israel Journal of Mathematics
2 Journal of Combinatorial Theory. Series A
2 Algebras and Representation Theory
2 Annals of Mathematics. Second Series
2 Journal of Algebra and its Applications
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Japanese Journal of Mathematics. 3rd Series
1 Journal of Statistical Physics
1 Linear and Multilinear Algebra
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Reviews in Mathematical Physics
1 Fortschritte der Physik
1 Publications Mathématiques
1 Journal of the Indian Institute of Science
1 Journal of the Korean Mathematical Society
1 Journal of the Mathematical Society of Japan
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Annalen
1 Memoirs of the American Mathematical Society
1 Osaka Journal of Mathematics
1 Proceedings of the London Mathematical Society. Third Series
1 International Journal of Mathematics
1 Bulletin of the American Mathematical Society. New Series
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 St. Petersburg Mathematical Journal
1 Journal of Lie Theory
1 Izvestiya: Mathematics
1 Documenta Mathematica
1 Séminaire Lotharingien de Combinatoire
1 Geometry & Topology
1 Journal of the European Mathematical Society (JEMS)
1 Annales Henri Poincaré
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Central European Journal of Mathematics
1 Journal of the Institute of Mathematics of Jussieu
1 Oberwolfach Reports
1 Algebra & Number Theory
1 São Paulo Journal of Mathematical Sciences
1 Forum of Mathematics, Sigma
1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions
1 Journal de l’École Polytechnique – Mathématiques
1 Algebraic Combinatorics
1 Annales Henri Lebesgue

Citations by Year