Edit Profile (opens in new tab) Abe, Eiichi Co-Author Distance Author ID: abe.eiichi Published as: Abe, Eiichi; Abe, E. Documents Indexed: 24 Publications since 1958, including 1 Book Reviewing Activity: 121 Reviews Co-Authors: 5 Co-Authors with 5 Joint Publications 41 Co-Co-Authors Co-Authors 18 single-authored 1 Hurley, James F. 1 Kanno, Tsuneo 1 Morita, Jun 1 Suzuki, Kazuo 1 Takeuchi, Mitsuhiro all top 5 Serials 9 Tôhoku Mathematical Journal. Second Series 2 Communications in Algebra 2 Journal of Algebra 2 Journal of the Mathematical Society of Japan 1 Tsukuba Journal of Mathematics 1 St. Petersburg Mathematical Journal 1 Proceedings of the Japan Academy 1 Science Reports of the Tokyo Kyoiku Daigaku, Section A 1 Cambridge Tracts in Mathematics all top 5 Fields 15 Group theory and generalizations (20-XX) 11 Algebraic geometry (14-XX) 5 Nonassociative rings and algebras (17-XX) 4 Associative rings and algebras (16-XX) 2 Category theory; homological algebra (18-XX) 2 \(K\)-theory (19-XX) 2 Topological groups, Lie groups (22-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 18 Publications have been cited 487 times in 365 Documents Cited by ▼ Year ▼ Hopf algebras. Zbl 0476.16008Abe, Eiichi 208 1980 Chevalley groups over local rings. Zbl 0188.07201Abe, Eiichi 67 1969 On normal subgroups of Chevalley groups over commutative rings. Zbl 0336.20033Abe, Eiichi; Suzuki, Kazuo 58 1976 Chevalley groups over commutative rings. Zbl 0820.20053Abe, Eiichi 31 1989 Whitehead groups of Chevalley groups over polynomial rings. Zbl 0513.20030Abe, Eiichi 25 1983 Automorphisms of Chevalley groups over commutative rings. Zbl 0842.20039Abe, Eiichi 23 1993 Centers of Chevalley groups over commutative rings. Zbl 0647.20047Abe, Eiichi; Hurley, James F. 18 1988 Decomposition theorem for Hopf algebras and pro-affine algebraic groups. Zbl 0236.14021Abe, E.; Doi, Y. 14 1972 Coverings of twisted Chevalley groups over commutative rings. Zbl 0353.20036Abe, Eiichi 13 1977 Some Tits systems with affine Weyl groups in Chevalley groups over Dedekind domains. Zbl 0685.20036Abe, Eiichi; Morita, Jun 7 1988 Chevalley groups over commutative rings. Normal subgroups and automorphisms. Zbl 0839.20059Abe, Eiichi 5 1995 Finite groups admitting Bruhat decompositions of type \((A_ n)\). Zbl 0128.25203Abe, E. 5 1964 Some remarks on algebraic groups. Zbl 0115.02604Abe, Eiichi; Kanno, Tsuneo 4 1959 Normal subgroups of Chevalley groups over commutative rings. Zbl 0677.20029Abe, Eiichi 2 1989 A generalization of groups with a root data and coverings of the groups. Zbl 0391.20037Abe, Eiichi 2 1977 Groupes simples de Chevalley. Zbl 0115.25401Abe, E. 2 1961 Dualité de Tannaka des groupes algébriques. Zbl 0134.26902Abe, Eiichi 2 1960 On the groups of C. Chevalley. Zbl 0085.01801Abe, Eiichi 1 1959 Chevalley groups over commutative rings. Normal subgroups and automorphisms. Zbl 0839.20059Abe, Eiichi 5 1995 Automorphisms of Chevalley groups over commutative rings. Zbl 0842.20039Abe, Eiichi 23 1993 Chevalley groups over commutative rings. Zbl 0820.20053Abe, Eiichi 31 1989 Normal subgroups of Chevalley groups over commutative rings. Zbl 0677.20029Abe, Eiichi 2 1989 Centers of Chevalley groups over commutative rings. Zbl 0647.20047Abe, Eiichi; Hurley, James F. 18 1988 Some Tits systems with affine Weyl groups in Chevalley groups over Dedekind domains. Zbl 0685.20036Abe, Eiichi; Morita, Jun 7 1988 Whitehead groups of Chevalley groups over polynomial rings. Zbl 0513.20030Abe, Eiichi 25 1983 Hopf algebras. Zbl 0476.16008Abe, Eiichi 208 1980 Coverings of twisted Chevalley groups over commutative rings. Zbl 0353.20036Abe, Eiichi 13 1977 A generalization of groups with a root data and coverings of the groups. Zbl 0391.20037Abe, Eiichi 2 1977 On normal subgroups of Chevalley groups over commutative rings. Zbl 0336.20033Abe, Eiichi; Suzuki, Kazuo 58 1976 Decomposition theorem for Hopf algebras and pro-affine algebraic groups. Zbl 0236.14021Abe, E.; Doi, Y. 14 1972 Chevalley groups over local rings. Zbl 0188.07201Abe, Eiichi 67 1969 Finite groups admitting Bruhat decompositions of type \((A_ n)\). Zbl 0128.25203Abe, E. 5 1964 Groupes simples de Chevalley. Zbl 0115.25401Abe, E. 2 1961 Dualité de Tannaka des groupes algébriques. Zbl 0134.26902Abe, Eiichi 2 1960 Some remarks on algebraic groups. Zbl 0115.02604Abe, Eiichi; Kanno, Tsuneo 4 1959 On the groups of C. Chevalley. Zbl 0085.01801Abe, Eiichi 1 1959 all cited Publications top 5 cited Publications all top 5 Cited by 363 Authors 37 Vavilov, Nikolaĭ Aleksandrovich 13 Bunina, Elena Igor’evna 12 Stepanov, Alexeĭ Vladimirovich 10 Abe, Eiichi 8 Hazrat, Roozbeh 8 Radford, David E. 8 Vaserstein, Leonid N. 7 Stavrova, Anastasia K. 6 Chirvăsitu, Alexandru 6 Morita, Jun 6 Prástaro, Agostino 5 Cohen, Miriam 5 Plotkin, Eugene 5 Zhang, Zuhong 4 Chen, Yu 4 Fischman, Davida 4 Gvozdevsky, Pavel 4 Luzgarev, A. Yu. 4 Montgomery, Susan 4 Noumi, Masatoshi 3 Bak, Anthony 3 Caenepeel, Stefaan 3 Chin, William 3 Gómez Torrecillas, José 3 Grunenfelder, Luzius 3 Hayashi, Takahiro 3 Jiang, Lining 3 Kauffman, Louis Hirsch 3 Menal, Pere 3 Quan, Xiuchi 3 Saracco, Paolo 3 Schlieker, Michael 3 Sinchuk, Sergeĭ Sergeevich 3 Takeuchi, Mitsuhiro 3 Umeda, Tôru 3 Wakayama, Masato 3 Wakui, Michihisa 3 Watamura, Satoshi 3 Weich, Wolfgang 3 Westreich, Sara 2 Agore, Ana-Loredana 2 Ambily, Ambattu Asokan 2 Ardizzoni, Alessandro 2 Bergen, Jeffrey 2 Böhm, Gabriella 2 Brzeziński, Tomasz 2 Carow-Watamura, Ursula 2 Castaño Iglesias, Florencio 2 Dobrev, Vladimir K. 2 Drabant, Bernhard 2 Duchamp, Gerard Henry Edmond 2 Ebrahimi-Fard, Kurusch 2 El Kaoutit, Laiachi 2 Farnsteiner, Rolf 2 Fioresi, Rita 2 Floreanini, Roberto 2 Foissy, Loïc 2 Frabetti, Alessandra 2 Gao, Xing 2 Gavarini, Fabio 2 Gelaki, Shlomo 2 Guédénon, Thomas 2 Hurley, James F. 2 Kanno, Tsuneo 2 Košir, Tomaž 2 Kucerovsky, Dan Z. 2 Kustermans, Johan 2 Lavrenov, Andrei V. 2 Li, Fang 2 Manchon, Dominique 2 Murphy, Gerard J. 2 Musson, Ian M. 2 Nuzhin, Yakov Nifant’evich 2 Phan, Kok-Wee 2 Rao, Ravi A. 2 Reshetikhin, Nikolai Yu. 2 Reutenauer, Christophe 2 Schürmann, Michael 2 Sinel’shchikov, Sergey D. 2 Suzuki, Kazuo 2 Torrecillas Jover, Blas 2 Trost, Alexander A. 2 Tuset, Lars 2 Van Daele, Alfons 2 Veryovkin, P. A. 2 Wei, Xiaomin 2 Wendt, Matthias 2 Zhao, Wenhua 1 Abuhlail, Jawad Y. 1 Abyzov, Adel Nailevich 1 Accardi, Luigi 1 Albuquerque, Helena 1 Aljadeff, Eli 1 Alonso Álvarez, José Nicanor 1 Andruskiewitsch, Nicolás 1 Aparna Pradeep, V. K. 1 Apte, Himanee 1 Arike, Yusuke 1 Asok, Aravind 1 Assem, Ibrahim ...and 263 more Authors all top 5 Cited in 104 Serials 61 Journal of Algebra 26 Journal of Mathematical Sciences (New York) 24 Journal of Pure and Applied Algebra 16 Communications in Mathematical Physics 16 St. Petersburg Mathematical Journal 15 Proceedings of the American Mathematical Society 12 Tôhoku Mathematical Journal. Second Series 10 Communications in Algebra 8 Advances in Mathematics 8 Journal of Soviet Mathematics 7 Transactions of the American Mathematical Society 6 Israel Journal of Mathematics 6 Letters in Mathematical Physics 5 International Journal of Theoretical Physics 5 Compositio Mathematica 5 Mathematische Zeitschrift 4 Duke Mathematical Journal 4 Nonlinear Analysis. Real World Applications 3 Inventiones Mathematicae 3 Mathematische Annalen 3 Rendiconti del Seminario Matematico della Università di Padova 3 Acta Applicandae Mathematicae 3 Linear Algebra and its Applications 3 Journal of Algebraic Combinatorics 3 Journal of Algebra and its Applications 3 Journal of \(K\)-Theory 2 Journal of Mathematical Analysis and Applications 2 Physics Letters. B 2 Reports on Mathematical Physics 2 Journal of Geometry and Physics 2 Algebra and Logic 2 Journal of Combinatorial Theory. Series A 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Indagationes Mathematicae. New Series 2 Nuclear Physics. B. Proceedings Supplements 2 Annales Mathématiques Blaise Pascal 2 Documenta Mathematica 2 Algebras and Representation Theory 2 Acta Mathematica Sinica. English Series 2 Journal of High Energy Physics 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 European Journal of Mathematics 1 Discrete Mathematics 1 Linear and Multilinear Algebra 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Ukrainian Mathematical Journal 1 Beiträge zur Algebra und Geometrie 1 Acta Mathematica Vietnamica 1 Annales de l’Institut Fourier 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archiv der Mathematik 1 Geometriae Dedicata 1 Glasgow Mathematical Journal 1 Journal of Combinatorial Theory. Series B 1 Journal of Functional Analysis 1 Journal of Geometry 1 Manuscripta Mathematica 1 Memoirs of the American Mathematical Society 1 Osaka Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Tokyo Journal of Mathematics 1 Advances in Applied Mathematics 1 Systems & Control Letters 1 Chinese Annals of Mathematics. Series B 1 Probability Theory and Related Fields 1 \(K\)-Theory 1 Journal of the American Mathematical Society 1 Publicacions Matemàtiques 1 International Journal of Algebra and Computation 1 Expositiones Mathematicae 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Vestnik St. Petersburg University. Mathematics 1 Applied Categorical Structures 1 Algebra Colloquium 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Advances in Applied Clifford Algebras 1 Sbornik: Mathematics 1 Positivity 1 Journal of the European Mathematical Society (JEMS) 1 Trudy Instituta Matematiki 1 Czechoslovak Journal of Physics 1 Algebraic & Geometric Topology 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 JP Journal of Algebra, Number Theory and Applications 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Central European Journal of Mathematics 1 Journal of Mathematical Physics, Analysis, Geometry 1 Proceedings of the Japan Academy 1 Frontiers of Mathematics in China 1 Journal of Physics A: Mathematical and Theoretical 1 São Paulo Journal of Mathematical Sciences 1 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 1 Quantum Topology 1 Annals of Functional Analysis 1 Symmetry 1 International Journal of Group Theory ...and 4 more Serials all top 5 Cited in 37 Fields 152 Associative rings and algebras (16-XX) 138 Group theory and generalizations (20-XX) 110 Nonassociative rings and algebras (17-XX) 45 Quantum theory (81-XX) 38 Algebraic geometry (14-XX) 33 Category theory; homological algebra (18-XX) 30 \(K\)-theory (19-XX) 29 Functional analysis (46-XX) 24 Combinatorics (05-XX) 17 Topological groups, Lie groups (22-XX) 17 Manifolds and cell complexes (57-XX) 13 Global analysis, analysis on manifolds (58-XX) 10 Commutative algebra (13-XX) 9 Special functions (33-XX) 6 Number theory (11-XX) 6 Probability theory and stochastic processes (60-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Mathematical logic and foundations (03-XX) 4 Ordinary differential equations (34-XX) 4 Operator theory (47-XX) 3 Field theory and polynomials (12-XX) 3 Abstract harmonic analysis (43-XX) 3 Algebraic topology (55-XX) 3 Relativity and gravitational theory (83-XX) 2 General and overarching topics; collections (00-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Partial differential equations (35-XX) 1 General algebraic systems (08-XX) 1 Functions of a complex variable (30-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX) Citations by Year