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## Abe, Eiichi

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 Author ID: abe.eiichi Published as: Abe, Eiichi; Abe, E.
 Documents Indexed: 24 Publications since 1958, including 1 Book Reviewing Activity: 114 Reviews

#### Co-Authors

 18 single-authored 1 Hurley, James F. 1 Kanno, Tsuneo 1 Morita, Jun 1 Suzuki, Kazuo 1 Takeuchi, Mitsuhiro
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#### Serials

 9 Tohoku 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
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#### 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)

#### Citations contained in zbMATH Open

18 Publications have been cited 428 times in 322 Documents Cited by Year
Hopf algebras. Zbl 0476.16008
Abe, Eiichi
1980
Chevalley groups over local rings. Zbl 0188.07201
Abe, Eiichi
1969
On normal subgroups of Chevalley groups over commutative rings. Zbl 0336.20033
Abe, Eiichi; Suzuki, Kazuo
1976
Whitehead groups of Chevalley groups over polynomial rings. Zbl 0513.20030
Abe, Eiichi
1983
Chevalley groups over commutative rings. Zbl 0820.20053
Abe, Eiichi
1989
Automorphisms of Chevalley groups over commutative rings. Zbl 0842.20039
Abe, Eiichi
1993
Centers of Chevalley groups over commutative rings. Zbl 0647.20047
Abe, Eiichi; Hurley, James F.
1988
Decomposition theorem for Hopf algebras and pro-affine algebraic groups. Zbl 0236.14021
Abe, E.; Doi, Y.
1972
Coverings of twisted Chevalley groups over commutative rings. Zbl 0353.20036
Abe, Eiichi
1977
Some Tits systems with affine Weyl groups in Chevalley groups over Dedekind domains. Zbl 0685.20036
Abe, Eiichi; Morita, Jun
1988
Chevalley groups over commutative rings. Normal subgroups and automorphisms. Zbl 0839.20059
Abe, Eiichi
1995
Finite groups admitting Bruhat decompositions of type $$(A_ n)$$. Zbl 0128.25203
Abe, E.
1964
Some remarks on algebraic groups. Zbl 0115.02604
Abe, E.; Kanno, T.
1959
A generalization of groups with a root data and coverings of the groups. Zbl 0391.20037
Abe, Eiichi
1977
Groupes simples de Chevalley. Zbl 0115.25401
Abe, E.
1961
Dualité de Tannaka des groupes algébriques. Zbl 0134.26902
Abe, Eiichi
1960
Normal subgroups of Chevalley groups over commutative rings. Zbl 0677.20029
Abe, Eiichi
1989
On the groups of C. Chevalley. Zbl 0085.01801
Abe, Eiichi
1959
Chevalley groups over commutative rings. Normal subgroups and automorphisms. Zbl 0839.20059
Abe, Eiichi
1995
Automorphisms of Chevalley groups over commutative rings. Zbl 0842.20039
Abe, Eiichi
1993
Chevalley groups over commutative rings. Zbl 0820.20053
Abe, Eiichi
1989
Normal subgroups of Chevalley groups over commutative rings. Zbl 0677.20029
Abe, Eiichi
1989
Centers of Chevalley groups over commutative rings. Zbl 0647.20047
Abe, Eiichi; Hurley, James F.
1988
Some Tits systems with affine Weyl groups in Chevalley groups over Dedekind domains. Zbl 0685.20036
Abe, Eiichi; Morita, Jun
1988
Whitehead groups of Chevalley groups over polynomial rings. Zbl 0513.20030
Abe, Eiichi
1983
Hopf algebras. Zbl 0476.16008
Abe, Eiichi
1980
Coverings of twisted Chevalley groups over commutative rings. Zbl 0353.20036
Abe, Eiichi
1977
A generalization of groups with a root data and coverings of the groups. Zbl 0391.20037
Abe, Eiichi
1977
On normal subgroups of Chevalley groups over commutative rings. Zbl 0336.20033
Abe, Eiichi; Suzuki, Kazuo
1976
Decomposition theorem for Hopf algebras and pro-affine algebraic groups. Zbl 0236.14021
Abe, E.; Doi, Y.
1972
Chevalley groups over local rings. Zbl 0188.07201
Abe, Eiichi
1969
Finite groups admitting Bruhat decompositions of type $$(A_ n)$$. Zbl 0128.25203
Abe, E.
1964
Groupes simples de Chevalley. Zbl 0115.25401
Abe, E.
1961
Dualité de Tannaka des groupes algébriques. Zbl 0134.26902
Abe, Eiichi
1960
Some remarks on algebraic groups. Zbl 0115.02604
Abe, E.; Kanno, T.
1959
On the groups of C. Chevalley. Zbl 0085.01801
Abe, Eiichi
1959
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#### Cited by 312 Authors

 37 Vavilov, Nikolaĭ Aleksandrovich 12 Bunina, E. I. 12 Stepanov, Alexeĭ Vladimirovich 10 Abe, Eiichi 8 Hazrat, Roozbeh 8 Vaserstein, Leonid N. 7 Radford, David E. 6 Prástaro, Agostino 6 Stavrova, Anastasia K. 5 Chirvăsitu, Alexandru 5 Morita, Jun 5 Plotkin, Eugene 5 Zhang, Zuhong 4 Cohen, Miriam 4 Luzgarev, A. Yu. 4 Montgomery, Susan 4 Noumi, Masatoshi 3 Bak, Anthony 3 Caenepeel, Stefaan 3 Fischman, Davida 3 Gómez Torrecillas, José 3 Grunenfelder, Luzius 3 Hayashi, Takahiro 3 Menal, Pere 3 Quan, Xiuchi 3 Schlieker, Michael 3 Schürmann, Michael 3 Sinchuk, Sergeĭ Sergeevich 3 Takeuchi, Mitsuhiro 3 Umeda, Tôru 3 Wakayama, Masato 3 Watamura, Satoshi 3 Weich, Wolfgang 3 Westreich, Sara 2 Agore, Ana-Loredana 2 Böhm, Gabriella 2 Brzeziński, Tomasz 2 Carow-Watamura, Ursula 2 Castaño Iglesias, Florencio 2 Chin, William 2 Dobrev, Vladimir K. 2 Drabant, Bernhard 2 Duchamp, Gerard Henry Edmond 2 Ebrahimi-Fard, Kurusch 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 Hurley, James F. 2 Kanno, Tsuneo 2 Kauffman, Louis Hirsch 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 Suzuki, Kazuo 2 Torrecillas Jover, Blas 2 Tuset, Lars 2 Van Daele, Alfons 2 Veryovkin, P. A. 2 Wendt, Matthias 1 Abuhlail, Jawad Y. 1 Accardi, Luigi 1 Albuquerque, Helena 1 Aljadeff, Eli 1 Alonso Álvarez, José Nicanor 1 Ambily, Ambattu Asokan 1 Andruskiewitsch, Nicolás 1 Apte, Himanee 1 Ardizzoni, Alessandro 1 Arike, Yusuke 1 Assem, Ibrahim 1 Bahturin, Yuri 1 Ballesteros, Angel 1 Banica, Teodor 1 Bardini, Carla 1 Barreiro, Elisabete 1 Beck, Jonathan 1 Bergen, Jeffrey 1 Bergeron, Nantel 1 Bernstein, Joseph 1 Bhowmick, Jyotishman 1 Biane, Philippe 1 Blattner, Robert J. 1 Borcherds, Richard Ewen 1 Bridgeland, Tom 1 Brini, Andrea ...and 212 more Authors
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#### Cited in 86 Serials

 56 Journal of Algebra 26 Journal of Mathematical Sciences (New York) 21 Journal of Pure and Applied Algebra 16 Communications in Mathematical Physics 15 Proceedings of the American Mathematical Society 14 St. Petersburg Mathematical Journal 12 Tohoku Mathematical Journal. Second Series 10 Communications in Algebra 8 Advances in Mathematics 8 Journal of Soviet Mathematics 6 Letters in Mathematical Physics 6 Transactions of the American Mathematical Society 5 International Journal of Theoretical Physics 5 Mathematische Zeitschrift 4 Compositio Mathematica 4 Duke Mathematical Journal 4 Nonlinear Analysis. Real World Applications 3 Inventiones Mathematicae 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 $$K$$-Theory 2 Israel Journal of Mathematics 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 Mathematische Annalen 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Probability Theory and Related Fields 2 Annales Mathématiques Blaise Pascal 2 Documenta Mathematica 2 Acta Mathematica Sinica. English Series 1 Discrete Mathematics 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Ukrainian Mathematical Journal 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 $$K$$-Theory 1 Journal of the American Mathematical Society 1 International Journal of Algebra and Computation 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Indagationes Mathematicae. New Series 1 Vestnik St. Petersburg University. Mathematics 1 Nuclear Physics, B, Proceedings Supplements 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 High Energy Physics 1 Trudy Instituta Matematiki 1 Czechoslovak Journal of Physics 1 Algebraic & Geometric Topology 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Central European Journal of Mathematics 1 Journal of Algebra and its Applications 1 Proceedings of the Japan Academy 1 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 1 Quantum Topology 1 Symmetry 1 International Journal of Group Theory 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Transactions of the American Mathematical Society. Series B 1 Advances in Operator Theory
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#### Cited in 36 Fields

 131 Associative rings and algebras (16-XX) 123 Group theory and generalizations (20-XX) 99 Nonassociative rings and algebras (17-XX) 39 Quantum theory (81-XX) 30 Algebraic geometry (14-XX) 27 $$K$$-theory (19-XX) 26 Category theory; homological algebra (18-XX) 26 Functional analysis (46-XX) 22 Combinatorics (05-XX) 14 Topological groups, Lie groups (22-XX) 14 Manifolds and cell complexes (57-XX) 13 Global analysis, analysis on manifolds (58-XX) 9 Commutative algebra (13-XX) 9 Special functions (33-XX) 5 Number theory (11-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Operator theory (47-XX) 5 Probability theory and stochastic processes (60-XX) 4 Field theory and polynomials (12-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Ordinary differential equations (34-XX) 3 Abstract harmonic analysis (43-XX) 3 Relativity and gravitational theory (83-XX) 2 General and overarching topics; collections (00-XX) 2 Mathematical logic and foundations (03-XX) 2 Partial differential equations (35-XX) 2 Algebraic topology (55-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Functions of a complex variable (30-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)