Edit Profile (opens in new tab) Cahen, Benjamin Compute Distance To: Compute Author ID: cahen.benjamin Published as: Cahen, Benjamin; Cahen, B. Homepage: http://www.math.univ-metz.fr/~cahen/ External Links: MGP · ResearchGate · IdRef · theses.fr Documents Indexed: 50 Publications since 1991 Reviewing Activity: 199 Reviews Co-Authors: 6 Co-Authors with 5 Joint Publications 114 Co-Co-Authors all top 5 Co-Authors 45 single-authored 3 Arnal, Didier 2 Beltiţă, Daniel 2 Benamor, Hedi 1 Beltiţă, Ingrid 1 Cahen, Michel 1 Gutt, Simone all top 5 Serials 4 Beiträge zur Algebra und Geometrie 4 Commentationes Mathematicae Universitatis Carolinae 3 Rendiconti del Seminario Matematico della Università di Padova 3 Journal of Lie Theory 2 Letters in Mathematical Physics 2 Archivum Mathematicum 2 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 2 Comptes Rendus de l’Académie des Sciences. Série I 1 Journal d’Analyse Mathématique 1 Rocky Mountain Journal of Mathematics 1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 1 Czechoslovak Mathematical Journal 1 Illinois Journal of Mathematics 1 Kodai Mathematical Journal 1 Matematički Vesnik 1 Mathematical Journal of Okayama University 1 Mathematica Scandinavica 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Ricerche di Matematica 1 Tsukuba Journal of Mathematics 1 Note di Matematica 1 Differential Geometry and its Applications 1 Linear Algebra and its Applications 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Annales Mathématiques Blaise Pascal 1 Serdica Mathematical Journal 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Mathematica Moravica 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Algebra and its Applications 1 Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino 1 Complex Analysis and Operator Theory 1 Rivista di Matematica della Università di Parma. New Series 1 Communications in Mathematics all top 5 Fields 47 Topological groups, Lie groups (22-XX) 29 Quantum theory (81-XX) 14 Several complex variables and analytic spaces (32-XX) 10 Functional analysis (46-XX) 8 Differential geometry (53-XX) 7 Nonassociative rings and algebras (17-XX) 2 Group theory and generalizations (20-XX) 2 Abstract harmonic analysis (43-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 36 Publications have been cited 145 times in 39 Documents Cited by ▼ Year ▼ Berezin quantization on generalized flag manifolds. Zbl 1183.22006Cahen, Benjamin 11 2009 Weyl quantization for semidirect products. Zbl 1117.81087Cahen, Benjamin 10 2007 Deformation program for principal series representations. Zbl 0843.22020Cahen, B. 10 1996 Quantization of a massive orbit of a generalized Poincaré group. (Quantification d’une orbite massive d’un groupe de Poincaré généralisé.) Zbl 0883.22016Cahen, Benjamin 8 1997 Contraction of \(\mathrm{SU}(1,1)\) to the Heisenberg group. (Contraction de \(\mathrm{SU}(1,1)\) vers le groupe de Heisenberg.) Zbl 1074.22005Cahen, Benjamin 8 2004 Berezin quantization and holomorphic representations. Zbl 1272.22007Cahen, Benjamin 7 2013 Contraction of compact semisimple Lie groups via Berezin quantization. Zbl 1185.22008Cahen, Benjamin 7 2009 Global parametrization of scalar holomorphic coadjoint orbits of a quasi-Hermitian Lie group. Zbl 1296.22007Cahen, Benjamin 7 2013 Contractions of \(SU(2)\) to the Heisenberg group and Berezin calculus. (Contraction de \(SU(2)\) vers le groupe de Heisenberg et calcul de Berezin.) Zbl 1032.22004Cahen, Benjamin 7 2003 Stratonovich-Weyl correspondence for compact semisimple Lie groups. Zbl 1218.22008Cahen, Benjamin 6 2010 Quantification of coadjoint orbits and the theory of contractions. (Quantification d’orbites coadjointes et théorie des contractions.) Zbl 0973.22009Cahen, Benjamin 6 2001 Stratonovich-Weyl correspondence for discrete series representations. Zbl 1240.22011Cahen, Benjamin 5 2011 Contraction of discrete series via Berezin quantization. Zbl 1185.22007Cahen, Benjamin 5 2009 Berezin quantization for discrete series. Zbl 1342.22022Cahen, Benjamin 4 2010 Stratonovich-Weyl correspondence for the Jacobi group. Zbl 1304.22005Cahen, Benjamin 4 2014 Stratonovich-Weyl correspondence for the real diamond group. Zbl 1293.22003Cahen, Benjamin 4 2013 Algebraic deformation program on minimal nilpotent orbit. Zbl 0805.17009Arnal, D.; Benamor, H.; Cahen, B. 4 1994 Weyl quantization for principal series. Zbl 1134.22010Cahen, Benjamin 3 2007 Contractions of \(\mathrm{SU}(1,n)\) and \(\mathrm{SU}(n+1)\) via Berezin quantization. Zbl 1131.22005Cahen, Benjamin 3 2006 Berezin transform and Stratonovich-Weyl correspondence for the multi-dimensional Jacobi group. Zbl 1359.22010Cahen, Benjamin 3 2016 Stratonovich-Weyl correspondence via Berezin quantization. Zbl 1322.22014Cahen, Benjamin 2 2014 A contraction of the principal series by Berezin-Weyl quantization. Zbl 1283.81094Cahen, Benjamin 2 2013 Weyl quantization for the semidirect product of a compact Lie group and a vector space. Zbl 1212.81015Cahen, B. 2 2009 Multiplicities of compact Lie group representations via Berezin quantization. Zbl 1199.22016Cahen, Benjamin 2 2008 Berezin quantization for holomorphic discrete series representations: the non-scalar case. Zbl 1257.22010Cahen, Benjamin 2 2012 Minimal realizations of classical simple Lie algebras through deformations. Zbl 0923.17010Arnal, Didier; Benamor, Hádi; Cahen, Benjamin 2 1998 Contractions of Lie algebras with 2-dimensional generic coadjoint orbits. Zbl 1393.17012Beltiţă, Daniel; Cahen, Benjamin 2 2015 Formal deformations of certain representations of the Lie algebra of a generalized Poincaré group. (Déformations formelles de certaines représentations de l’algèbre de Lie d’un groupe de Poincaré généralisé.) Zbl 0987.22008Cahen, Benjamin 1 2001 Stratonovich-Weyl correspondence for the generalized Poincaré group. Zbl 1402.81181Cahen, Benjamin 1 2018 Une classe d’orbites coadjointes qui sont symplectomorphes à un fibré cotangent. (A class of coadjoint orbits which are symplectomorphic to a cotangent bundle). Zbl 0726.22012Arnal, Didier; Cahen, Benjamin; Cahen, Michel; Gutt, Simone 1 1991 Invariant symbolic calculus for semidirect products. Zbl 1463.81016Cahen, Benjamin 1 2018 Schrödinger model and Stratonovich-Weyl correspondence for Heisenberg motion groups. Zbl 1372.22012Cahen, Benjamin 1 2016 Weyl calculus on the Fock space and Stratonovich-Weyl correspondence for Heisenberg motion groups. Zbl 1440.22015Cahen, Benjamin 1 2018 Berezin transform for non-scalar holomorphic discrete series. Zbl 1249.22008Cahen, Benjamin 1 2012 Some remarks on the notion of contraction of Lie group representations. Zbl 1265.22010Cahen, Benjamin 1 2010 Construction of minimal realizations of a simple Lie algebra of type \(G_ 2\) by deformation. (Construction par déformation de réalisations minimales d’une algèbre de Lie simple de type \(G_2\).) Zbl 0864.17010Cahen, Benjamin 1 1996 Stratonovich-Weyl correspondence for the generalized Poincaré group. Zbl 1402.81181Cahen, Benjamin 1 2018 Invariant symbolic calculus for semidirect products. Zbl 1463.81016Cahen, Benjamin 1 2018 Weyl calculus on the Fock space and Stratonovich-Weyl correspondence for Heisenberg motion groups. Zbl 1440.22015Cahen, Benjamin 1 2018 Berezin transform and Stratonovich-Weyl correspondence for the multi-dimensional Jacobi group. Zbl 1359.22010Cahen, Benjamin 3 2016 Schrödinger model and Stratonovich-Weyl correspondence for Heisenberg motion groups. Zbl 1372.22012Cahen, Benjamin 1 2016 Contractions of Lie algebras with 2-dimensional generic coadjoint orbits. Zbl 1393.17012Beltiţă, Daniel; Cahen, Benjamin 2 2015 Stratonovich-Weyl correspondence for the Jacobi group. Zbl 1304.22005Cahen, Benjamin 4 2014 Stratonovich-Weyl correspondence via Berezin quantization. Zbl 1322.22014Cahen, Benjamin 2 2014 Berezin quantization and holomorphic representations. Zbl 1272.22007Cahen, Benjamin 7 2013 Global parametrization of scalar holomorphic coadjoint orbits of a quasi-Hermitian Lie group. Zbl 1296.22007Cahen, Benjamin 7 2013 Stratonovich-Weyl correspondence for the real diamond group. Zbl 1293.22003Cahen, Benjamin 4 2013 A contraction of the principal series by Berezin-Weyl quantization. Zbl 1283.81094Cahen, Benjamin 2 2013 Berezin quantization for holomorphic discrete series representations: the non-scalar case. Zbl 1257.22010Cahen, Benjamin 2 2012 Berezin transform for non-scalar holomorphic discrete series. Zbl 1249.22008Cahen, Benjamin 1 2012 Stratonovich-Weyl correspondence for discrete series representations. Zbl 1240.22011Cahen, Benjamin 5 2011 Stratonovich-Weyl correspondence for compact semisimple Lie groups. Zbl 1218.22008Cahen, Benjamin 6 2010 Berezin quantization for discrete series. Zbl 1342.22022Cahen, Benjamin 4 2010 Some remarks on the notion of contraction of Lie group representations. Zbl 1265.22010Cahen, Benjamin 1 2010 Berezin quantization on generalized flag manifolds. Zbl 1183.22006Cahen, Benjamin 11 2009 Contraction of compact semisimple Lie groups via Berezin quantization. Zbl 1185.22008Cahen, Benjamin 7 2009 Contraction of discrete series via Berezin quantization. Zbl 1185.22007Cahen, Benjamin 5 2009 Weyl quantization for the semidirect product of a compact Lie group and a vector space. Zbl 1212.81015Cahen, B. 2 2009 Multiplicities of compact Lie group representations via Berezin quantization. Zbl 1199.22016Cahen, Benjamin 2 2008 Weyl quantization for semidirect products. Zbl 1117.81087Cahen, Benjamin 10 2007 Weyl quantization for principal series. Zbl 1134.22010Cahen, Benjamin 3 2007 Contractions of \(\mathrm{SU}(1,n)\) and \(\mathrm{SU}(n+1)\) via Berezin quantization. Zbl 1131.22005Cahen, Benjamin 3 2006 Contraction of \(\mathrm{SU}(1,1)\) to the Heisenberg group. (Contraction de \(\mathrm{SU}(1,1)\) vers le groupe de Heisenberg.) Zbl 1074.22005Cahen, Benjamin 8 2004 Contractions of \(SU(2)\) to the Heisenberg group and Berezin calculus. (Contraction de \(SU(2)\) vers le groupe de Heisenberg et calcul de Berezin.) Zbl 1032.22004Cahen, Benjamin 7 2003 Quantification of coadjoint orbits and the theory of contractions. (Quantification d’orbites coadjointes et théorie des contractions.) Zbl 0973.22009Cahen, Benjamin 6 2001 Formal deformations of certain representations of the Lie algebra of a generalized Poincaré group. (Déformations formelles de certaines représentations de l’algèbre de Lie d’un groupe de Poincaré généralisé.) Zbl 0987.22008Cahen, Benjamin 1 2001 Minimal realizations of classical simple Lie algebras through deformations. Zbl 0923.17010Arnal, Didier; Benamor, Hádi; Cahen, Benjamin 2 1998 Quantization of a massive orbit of a generalized Poincaré group. (Quantification d’une orbite massive d’un groupe de Poincaré généralisé.) Zbl 0883.22016Cahen, Benjamin 8 1997 Deformation program for principal series representations. Zbl 0843.22020Cahen, B. 10 1996 Construction of minimal realizations of a simple Lie algebra of type \(G_ 2\) by deformation. (Construction par déformation de réalisations minimales d’une algèbre de Lie simple de type \(G_2\).) Zbl 0864.17010Cahen, Benjamin 1 1996 Algebraic deformation program on minimal nilpotent orbit. Zbl 0805.17009Arnal, D.; Benamor, H.; Cahen, B. 4 1994 Une classe d’orbites coadjointes qui sont symplectomorphes à un fibré cotangent. (A class of coadjoint orbits which are symplectomorphic to a cotangent bundle). Zbl 0726.22012Arnal, Didier; Cahen, Benjamin; Cahen, Michel; Gutt, Simone 1 1991 all cited Publications top 5 cited Publications all top 5 Cited by 31 Authors 20 Cahen, Benjamin 5 Beltiţă, Daniel 4 Beltiţă, Ingrid 2 Arnal, Didier 2 Barbaresco, Frédéric 2 Berceanu, Stefan 2 Tounsi, Khaled 1 Airault, Hélène 1 Akylzhanov, Rauan Kh. 1 Arnaudon, Alexis 1 Astashkevich, Alexander 1 Benamor, Hedi 1 Bieliavsky, Pierre 1 Brylinski, Ranee Kathryn 1 de Goursac, Axel Marcillaud 1 Engliš, Miroslav 1 Francese, James 1 Gayral, Victor 1 Goze, Michel 1 Jendoubi, Souheyl 1 Jondreville, David 1 Khudoyberdiyev, Abror Kh. 1 Maeda, Yoshiaki 1 Michel, Jean-Philippe 1 Ouerdiane, Habib 1 Remm, Elisabeth 1 Rennier, Bennett 1 Spinnler, Florian 1 Upmeier, Harald 1 Voloshinov, Anastasia 1 Yahyai, M. all top 5 Cited in 29 Serials 3 Letters in Mathematical Physics 3 Journal of Geometry and Physics 2 Advances in Mathematics 2 Differential Geometry and its Applications 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal d’Analyse Mathématique 1 Beiträge zur Algebra und Geometrie 1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 1 Annales de l’Institut Fourier 1 Commentationes Mathematicae Universitatis Carolinae 1 Illinois Journal of Mathematics 1 Kodai Mathematical Journal 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Rendiconti del Seminario Matematico della Università di Padova 1 Ricerche di Matematica 1 Tôhoku Mathematical Journal. Second Series 1 Transactions of the American Mathematical Society 1 Tsukuba Journal of Mathematics 1 Annals of Global Analysis and Geometry 1 Linear Algebra and its Applications 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Annales Mathématiques Blaise Pascal 1 Journal of Lie Theory 1 Bulletin des Sciences Mathématiques 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Algebra and its Applications 1 Complex Analysis and Operator Theory 1 Communications in Mathematics 1 Journal of Fractal Geometry all top 5 Cited in 18 Fields 26 Topological groups, Lie groups (22-XX) 16 Quantum theory (81-XX) 11 Differential geometry (53-XX) 10 Several complex variables and analytic spaces (32-XX) 9 Nonassociative rings and algebras (17-XX) 6 Functional analysis (46-XX) 5 Operator theory (47-XX) 4 Abstract harmonic analysis (43-XX) 4 Global analysis, analysis on manifolds (58-XX) 2 Partial differential equations (35-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year