Edit Profile Miki, Kei Compute Distance To: Compute Author ID: miki.kei Published as: Miki, K.; Miki, Kei Documents Indexed: 23 Publications since 1990 all top 5 Co-Authors 12 single-authored 8 Jimbo, Michio 7 Date, Etsuro 6 Miwa, Tetsuji 1 Foda, Omar 1 Hayaishi, Norifumi 1 Kojima, Takeo 1 Nakayashiki, Atsushi 1 Okado, Masato 1 Quano, Yas-Hiro all top 5 Serials 7 Journal of Mathematical Physics 4 Osaka Journal of Mathematics 2 International Journal of Modern Physics A 2 Physics Letters. A 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Communications in Mathematical Physics 1 Letters in Mathematical Physics 1 Pacific Journal of Mathematics 1 Journal of Physics A: Mathematical and General all top 5 Fields 20 Nonassociative rings and algebras (17-XX) 10 Quantum theory (81-XX) 6 Statistical mechanics, structure of matter (82-XX) 2 Special functions (33-XX) 1 Topological groups, Lie groups (22-XX) 1 Difference and functional equations (39-XX) 1 Manifolds and cell complexes (57-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 17 Publications have been cited 187 times in 160 Documents Cited by ▼ Year ▼ A \((q,\gamma)\) analog of the \(W_{1+\infty}\) algebra. Zbl 1153.81405Miki, Kei 52 2007 Generalized chiral Potts models and minimal cyclic representations of \(U_ q (\widehat {\mathfrak gl}(n,C))\). Zbl 0737.17013Date, Etsuro; Jimbo, Michio; Miki, Kei; Miwa, Tetsuji 23 1991 Vertex operators in solvable lattice models. Zbl 0818.39004Foda, Omar; Jimbo, Michio; Miwa, Tetsuji; Miki, Kei; Nakayashiki, Atsushi 19 1994 The representation theory of the SO(3) invariant superconformal algebra. Zbl 0712.22015Miki, Kei 14 1990 Toroidal braid group action and an automorphism of toroidal algebra \(U_q(sl_{n+1,\text{tor}})\) \((n\geqq 2)\). Zbl 1022.17009Miki, Kei 13 1999 \(R\)-matrix for cyclic representations of \(U_ q(\widehat{{\mathfrak sl}}(3,{\mathbb{C}}))\) at \(q^ 3=1\). Zbl 0749.17013Date, E.; Jimbo, M.; Miki, K.; Miwa, T. 13 1990 Representations of quantum toroidal algebra \(U_q(\text{sl}_{n+1,\text{tor}}) (n\geq 2)\). Zbl 1028.17011Miki, Kei 10 2000 Finite dimensional modules for the \(q\)-tetrahedron algebra. Zbl 1232.17026Miki, Kei 8 2010 Cyclic representations of \(U_ q({\mathfrak sl}(n +1,\mathbb{C}))\) at \(q^ N=1\). Zbl 0752.17011Date, Etsuro; Jimbo, Michio; Miki, Kei; Miwa, Tetsuji 8 1991 Quantum toroidal algebra \(U_q(\widehat{\text{sl}}_{2,\text{tor}})\) and \(R\) matrices. Zbl 1032.17028Miki, Kei 7 2001 Creation/annihilation operators and form factors of the \(XXZ\) model. Zbl 0959.82502Miki, Kei 7 1994 Braid group representations arising from the generalized chiral Potts models. Zbl 0770.57002Date, Etsuro; Jimbo, Michio; Miki, Kei; Miwa, Tetsuji 4 1992 Toroidal and level \(0\) \(U_q'(\widehat{\text{sl}_{n+1}})\) actions on \(U_q(\widehat{\text{gl}_{n+1}})\) modules. Zbl 0959.17016Miki, Kei 3 1999 Some quotient algebras arising from the quantum toroidal algebra \(U_q(\mathrm{sl}_2(\mathcal{C}_{\gamma}))\). Zbl 1139.17006Miki, Kei 2 2005 New \(R\) matrices associated with cyclic representations of \(U_ q(A_ 2^{(2)})\). Zbl 0752.17012Date, Etsuro; Jimbo, Michio; Miki, Kei; Miwa, Tetsuji 2 1991 Integrable irreducible highest weight modules for \(\mathrm{sl}_2(\mathbb C_p[x^{\pm 1},y^{\pm 1}])\). Zbl 1138.17308Miki, Kei 1 2004 Annihilation poles of a Smirnov-type integral formula for solutions to the quantum Knizhnik-Zamolodchikov equation. Zbl 0876.17016Kojima, Takeo; Miki, Kei; Quano, Yas-Hiro 1 1995 Finite dimensional modules for the \(q\)-tetrahedron algebra. Zbl 1232.17026Miki, Kei 8 2010 A \((q,\gamma)\) analog of the \(W_{1+\infty}\) algebra. Zbl 1153.81405Miki, Kei 52 2007 Some quotient algebras arising from the quantum toroidal algebra \(U_q(\mathrm{sl}_2(\mathcal{C}_{\gamma}))\). Zbl 1139.17006Miki, Kei 2 2005 Integrable irreducible highest weight modules for \(\mathrm{sl}_2(\mathbb C_p[x^{\pm 1},y^{\pm 1}])\). Zbl 1138.17308Miki, Kei 1 2004 Quantum toroidal algebra \(U_q(\widehat{\text{sl}}_{2,\text{tor}})\) and \(R\) matrices. Zbl 1032.17028Miki, Kei 7 2001 Representations of quantum toroidal algebra \(U_q(\text{sl}_{n+1,\text{tor}}) (n\geq 2)\). Zbl 1028.17011Miki, Kei 10 2000 Toroidal braid group action and an automorphism of toroidal algebra \(U_q(sl_{n+1,\text{tor}})\) \((n\geqq 2)\). Zbl 1022.17009Miki, Kei 13 1999 Toroidal and level \(0\) \(U_q'(\widehat{\text{sl}_{n+1}})\) actions on \(U_q(\widehat{\text{gl}_{n+1}})\) modules. Zbl 0959.17016Miki, Kei 3 1999 Annihilation poles of a Smirnov-type integral formula for solutions to the quantum Knizhnik-Zamolodchikov equation. Zbl 0876.17016Kojima, Takeo; Miki, Kei; Quano, Yas-Hiro 1 1995 Vertex operators in solvable lattice models. Zbl 0818.39004Foda, Omar; Jimbo, Michio; Miwa, Tetsuji; Miki, Kei; Nakayashiki, Atsushi 19 1994 Creation/annihilation operators and form factors of the \(XXZ\) model. Zbl 0959.82502Miki, Kei 7 1994 Braid group representations arising from the generalized chiral Potts models. Zbl 0770.57002Date, Etsuro; Jimbo, Michio; Miki, Kei; Miwa, Tetsuji 4 1992 Generalized chiral Potts models and minimal cyclic representations of \(U_ q (\widehat {\mathfrak gl}(n,C))\). Zbl 0737.17013Date, Etsuro; Jimbo, Michio; Miki, Kei; Miwa, Tetsuji 23 1991 Cyclic representations of \(U_ q({\mathfrak sl}(n +1,\mathbb{C}))\) at \(q^ N=1\). Zbl 0752.17011Date, Etsuro; Jimbo, Michio; Miki, Kei; Miwa, Tetsuji 8 1991 New \(R\) matrices associated with cyclic representations of \(U_ q(A_ 2^{(2)})\). Zbl 0752.17012Date, Etsuro; Jimbo, Michio; Miki, Kei; Miwa, Tetsuji 2 1991 The representation theory of the SO(3) invariant superconformal algebra. Zbl 0712.22015Miki, Kei 14 1990 \(R\)-matrix for cyclic representations of \(U_ q(\widehat{{\mathfrak sl}}(3,{\mathbb{C}}))\) at \(q^ 3=1\). Zbl 0749.17013Date, E.; Jimbo, M.; Miki, K.; Miwa, T. 13 1990 all cited Publications top 5 cited Publications all top 5 Cited by 189 Authors 9 Awata, Hidetoshi 9 Feĭgin, Boris L’vovich 8 Jimbo, Michio 8 Morozov, Alexei Yurievich 7 Ohkubo, Yusuke 7 Zenkevich, Yegor 6 Bazhanov, Vladimir V. 6 Mironov, Andrei D. 6 Miwa, Tetsuji 5 Bourgine, Jean-Emile 5 Kanno, Hiroaki 5 Miki, Kei 5 Mukhin, Evgeny 5 Tsymbaliuk, Aleksander 5 Zhu, Rui-Dong 4 Arnaudon, Daniel 4 Fukuda, Masayuki 4 Ge, Molin 4 Li, Wei 4 Peng, Cheng 4 Shiraishi, Jun’ichi 4 Terwilliger, Paul M. 3 Baxter, Rodney J. 3 Bershteĭn, Mikhaĭl Aleksandrovich 3 Creutzig, Thomas 3 Gaberdiel, Matthias R. 3 Hernandez, David 3 Hikida, Yasuaki 3 Kedem, Rinat 3 Liu, Xufeng 3 Sun, Changpu 3 Wu, Ke 3 Yang, Wenli 2 Cerchiai, Bianca Letizia 2 Chakrabarti, Amithaba 2 Deguchi, Tetsuo 2 Di Francesco, Philippe 2 Eguchi, Tohru 2 Fioravanti, Davide 2 Foda, Omar 2 Fujii, Yasuhiro 2 Israël, Dan 2 Jing, Naihuan 2 Kashaev, Rinat M. 2 Kojima, Takeo 2 Konno, Hitoshi 2 Lukyanov, Sergei L. 2 Martellini, Maurizio 2 Matsuo, Yutaka 2 Morozov, Andreĭ Alekseevich 2 Nakayama, Yu 2 Nakayashiki, Atsushi 2 Nedelin, Anton 2 Odake, Satoru 2 Pakuliak, Stanislav Z. 2 Procházka, Tomáš 2 Rapčák, Miroslav 2 Reshetikhin, Nikolai Yu. 2 Roan, Shishyr 2 Rønne, Peter B. 2 Schnizer, W. A. 2 Sergeev, Sergeĭ Mikhaĭlovich 2 Stroganov, Yu. G. 2 Suetake, Kazuma 2 Sugawara, Yuji 2 Tarasov, Vitaly Olegovich 2 Troost, Jan 2 Wadati, Miki 2 Xia, Limeng 2 Yanagida, Shintarou 2 Zhang, Chunhong 2 Zhang, Honglian 2 Zhang, Yaozhong 2 Zhao, Weizhong 1 Abada, Ali Hamza 1 Abe, Yuuki 1 Ahn, Changhyun 1 Alfes-Neumann, Claudia 1 Belavin, Aleksandr Abramovich 1 Boos, Herman E. 1 Bougourzi, A. Hamid 1 Brazhnikov, Vadim A. 1 Bugrii, A. I. 1 Bugrij, E. A. 1 Cautis, Sabin 1 Chari, Vyjayanthi 1 Chervov, Alexander Viktorovich 1 Cotta-Ramusino, Paolo 1 Date, Etsuro 1 Eberhardt, Lorenz 1 Essler, Fabian H. L. 1 Fan, Heng 1 Fendley, Paul 1 Frahm, Holger 1 Frenkel, Edward V. 1 Fu, Hongchen 1 Fujino, Hiroki 1 Fukushima, Nobuhisa 1 Funk-Neubauer, Darren 1 Gautam, Sachin Singh ...and 89 more Authors all top 5 Cited in 35 Serials 32 Journal of High Energy Physics 23 Communications in Mathematical Physics 14 Journal of Mathematical Physics 13 Letters in Mathematical Physics 9 Nuclear Physics. B 8 Theoretical and Mathematical Physics 7 Journal of Statistical Physics 6 Linear Algebra and its Applications 4 Physics Letters. B 3 Physics Letters. A 3 Advances in Mathematics 3 Journal of Pure and Applied Algebra 3 Journal of Statistical Mechanics: Theory and Experiment 2 International Journal of Modern Physics A 2 Communications in Algebra 2 Chaos, Solitons and Fractals 2 Journal of Algebra 2 Mathematische Zeitschrift 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Selecta Mathematica. New Series 2 Algebras and Representation Theory 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Frontiers of Mathematics in China 1 Functional Analysis and its Applications 1 Osaka Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Tokyo Journal of Mathematics 1 Transactions of the Moscow Mathematical Society 1 Journal of the American Mathematical Society 1 Journal of Algebraic Combinatorics 1 Journal of Mathematical Sciences (New York) 1 Journal of Physics A: Mathematical and Theoretical 1 Ars Mathematica Contemporanea 1 Advances in Mathematical Physics 1 Kyoto Journal of Mathematics all top 5 Cited in 26 Fields 107 Quantum theory (81-XX) 98 Nonassociative rings and algebras (17-XX) 31 Statistical mechanics, structure of matter (82-XX) 18 Relativity and gravitational theory (83-XX) 17 Special functions (33-XX) 16 Associative rings and algebras (16-XX) 8 Algebraic geometry (14-XX) 6 Combinatorics (05-XX) 4 Group theory and generalizations (20-XX) 4 Several complex variables and analytic spaces (32-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Topological groups, Lie groups (22-XX) 3 Operator theory (47-XX) 3 Manifolds and cell complexes (57-XX) 2 Number theory (11-XX) 2 Probability theory and stochastic processes (60-XX) 1 Commutative algebra (13-XX) 1 Category theory; homological algebra (18-XX) 1 \(K\)-theory (19-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) Citations by Year