Edit Profile (opens in new tab) Cahen, Benjamin Co-Author Distance 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: 54 Publications since 1991 Reviewing Activity: 203 Reviews Co-Authors: 6 Co-Authors with 5 Joint Publications 117 Co-Co-Authors all top 5 Co-Authors 49 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 dell’Istituto di Matematica dell’Università di Trieste 3 Rendiconti del Seminario Matematico della Università di Padova 3 Journal of Lie Theory 2 Letters in Mathematical Physics 2 Archivum Mathematicum 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 Yokohama Mathematical Journal 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 Kyushu Journal of Mathematics 1 Serdica Mathematical Journal 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Mathematica Moravica 1 Nihonkai Mathematical Journal 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 51 Topological groups, Lie groups (22-XX) 30 Quantum theory (81-XX) 15 Several complex variables and analytic spaces (32-XX) 11 Functional analysis (46-XX) 8 Differential geometry (53-XX) 7 Nonassociative rings and algebras (17-XX) 3 Abstract harmonic analysis (43-XX) 2 Group theory and generalizations (20-XX) 2 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 39 Publications have been cited 178 times in 47 Documents Cited by ▼ Year ▼ Berezin quantization on generalized flag manifolds. Zbl 1183.22006 Cahen, Benjamin 12 2009 Berezin quantization and holomorphic representations. Zbl 1272.22007 Cahen, Benjamin 12 2013 Deformation program for principal series representations. Zbl 0843.22020 Cahen, B. 11 1996 Weyl quantization for semidirect products. Zbl 1117.81087 Cahen, Benjamin 11 2007 Contraction of \(\mathrm{SU}(1,1)\) to the Heisenberg group. (Contraction de \(\mathrm{SU}(1,1)\) vers le groupe de Heisenberg.) Zbl 1074.22005 Cahen, Benjamin 9 2004 Quantization of a massive orbit of a generalized Poincaré group. (Quantification d’une orbite massive d’un groupe de Poincaré généralisé.) Zbl 0883.22016 Cahen, Benjamin 8 1997 Global parametrization of scalar holomorphic coadjoint orbits of a quasi-Hermitian Lie group. Zbl 1296.22007 Cahen, Benjamin 8 2013 Contraction of compact semisimple Lie groups via Berezin quantization. Zbl 1185.22008 Cahen, Benjamin 8 2009 Stratonovich-Weyl correspondence for the real diamond group. Zbl 1293.22003 Cahen, Benjamin 7 2013 Stratonovich-Weyl correspondence for compact semisimple Lie groups. Zbl 1218.22008 Cahen, Benjamin 7 2010 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 1032.22004 Cahen, Benjamin 7 2003 Berezin transform and Stratonovich-Weyl correspondence for the multi-dimensional Jacobi group. Zbl 1359.22010 Cahen, Benjamin 6 2016 Stratonovich-Weyl correspondence for the Jacobi group. Zbl 1304.22005 Cahen, Benjamin 6 2014 Contraction of discrete series via Berezin quantization. Zbl 1185.22007 Cahen, Benjamin 6 2009 Quantification of coadjoint orbits and the theory of contractions. (Quantification d’orbites coadjointes et théorie des contractions.) Zbl 0973.22009 Cahen, Benjamin 6 2001 Contractions of \(\mathrm{SU}(1,n)\) and \(\mathrm{SU}(n+1)\) via Berezin quantization. Zbl 1131.22005 Cahen, Benjamin 5 2006 Stratonovich-Weyl correspondence for discrete series representations. Zbl 1240.22011 Cahen, Benjamin 5 2011 Algebraic deformation program on minimal nilpotent orbit. Zbl 0805.17009 Arnal, D.; Benamor, H.; Cahen, B. 4 1994 Berezin quantization for discrete series. Zbl 1342.22022 Cahen, Benjamin 4 2010 Minimal realizations of classical simple Lie algebras through deformations. Zbl 0923.17010 Arnal, Didier; Benamor, Hádi; Cahen, Benjamin 3 1998 Weyl calculus on the Fock space and Stratonovich-Weyl correspondence for Heisenberg motion groups. Zbl 1440.22015 Cahen, Benjamin 3 2018 Weyl quantization for principal series. Zbl 1134.22010 Cahen, Benjamin 3 2007 Berezin quantization for holomorphic discrete series representations: the non-scalar case. Zbl 1257.22010 Cahen, Benjamin 3 2012 Weyl quantization for the semidirect product of a compact Lie group and a vector space. Zbl 1212.81015 Cahen, B. 3 2009 Contractions of Lie algebras with 2-dimensional generic coadjoint orbits. Zbl 1393.17012 Beltiţă, Daniel; Cahen, Benjamin 2 2015 Stratonovich-Weyl correspondence via Berezin quantization. Zbl 1322.22014 Cahen, Benjamin 2 2014 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 0864.17010 Cahen, Benjamin 2 1996 Multiplicities of compact Lie group representations via Berezin quantization. Zbl 1199.22016 Cahen, Benjamin 2 2008 A contraction of the principal series by Berezin-Weyl quantization. Zbl 1283.81094 Cahen, Benjamin 2 2013 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 0987.22008 Cahen, Benjamin 2 2001 Schrödinger model and Stratonovich-Weyl correspondence for Heisenberg motion groups. Zbl 1372.22012 Cahen, Benjamin 1 2016 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 0726.22012 Arnal, Didier; Cahen, Benjamin; Cahen, Michel; Gutt, Simone 1 1991 Stratonovich-Weyl correspondence for the generalized Poincaré group. Zbl 1402.81181 Cahen, Benjamin 1 2018 Berezin transform for non-scalar holomorphic discrete series. Zbl 1249.22008 Cahen, Benjamin 1 2012 A construction by deformation of unitary irreducible representations of \(\mathrm{SU}(1, n)\) and \(\mathrm{SU}(n + 1)\). Zbl 1483.17008 Cahen, Benjamin 1 2019 The complex Weyl calculus as a Stratonovich-Weyl correspondence for the real diamond group. Zbl 1475.22019 Cahen, Benjamin 1 2020 Invariant symbolic calculus for semidirect products. Zbl 1463.81016 Cahen, Benjamin 1 2018 Some remarks on the notion of contraction of Lie group representations. Zbl 1265.22010 Cahen, Benjamin 1 2010 A note on the harmonic representation of \(\mathrm{SU}(p,q)\). Zbl 1537.22038 Cahen, Benjamin 1 2022 A note on the harmonic representation of \(\mathrm{SU}(p,q)\). Zbl 1537.22038 Cahen, Benjamin 1 2022 The complex Weyl calculus as a Stratonovich-Weyl correspondence for the real diamond group. Zbl 1475.22019 Cahen, Benjamin 1 2020 A construction by deformation of unitary irreducible representations of \(\mathrm{SU}(1, n)\) and \(\mathrm{SU}(n + 1)\). Zbl 1483.17008 Cahen, Benjamin 1 2019 Weyl calculus on the Fock space and Stratonovich-Weyl correspondence for Heisenberg motion groups. Zbl 1440.22015 Cahen, Benjamin 3 2018 Stratonovich-Weyl correspondence for the generalized Poincaré group. Zbl 1402.81181 Cahen, Benjamin 1 2018 Invariant symbolic calculus for semidirect products. Zbl 1463.81016 Cahen, Benjamin 1 2018 Berezin transform and Stratonovich-Weyl correspondence for the multi-dimensional Jacobi group. Zbl 1359.22010 Cahen, Benjamin 6 2016 Schrödinger model and Stratonovich-Weyl correspondence for Heisenberg motion groups. Zbl 1372.22012 Cahen, Benjamin 1 2016 Contractions of Lie algebras with 2-dimensional generic coadjoint orbits. Zbl 1393.17012 Beltiţă, Daniel; Cahen, Benjamin 2 2015 Stratonovich-Weyl correspondence for the Jacobi group. Zbl 1304.22005 Cahen, Benjamin 6 2014 Stratonovich-Weyl correspondence via Berezin quantization. Zbl 1322.22014 Cahen, Benjamin 2 2014 Berezin quantization and holomorphic representations. Zbl 1272.22007 Cahen, Benjamin 12 2013 Global parametrization of scalar holomorphic coadjoint orbits of a quasi-Hermitian Lie group. Zbl 1296.22007 Cahen, Benjamin 8 2013 Stratonovich-Weyl correspondence for the real diamond group. Zbl 1293.22003 Cahen, Benjamin 7 2013 A contraction of the principal series by Berezin-Weyl quantization. Zbl 1283.81094 Cahen, Benjamin 2 2013 Berezin quantization for holomorphic discrete series representations: the non-scalar case. Zbl 1257.22010 Cahen, Benjamin 3 2012 Berezin transform for non-scalar holomorphic discrete series. Zbl 1249.22008 Cahen, Benjamin 1 2012 Stratonovich-Weyl correspondence for discrete series representations. Zbl 1240.22011 Cahen, Benjamin 5 2011 Stratonovich-Weyl correspondence for compact semisimple Lie groups. Zbl 1218.22008 Cahen, Benjamin 7 2010 Berezin quantization for discrete series. Zbl 1342.22022 Cahen, Benjamin 4 2010 Some remarks on the notion of contraction of Lie group representations. Zbl 1265.22010 Cahen, Benjamin 1 2010 Berezin quantization on generalized flag manifolds. Zbl 1183.22006 Cahen, Benjamin 12 2009 Contraction of compact semisimple Lie groups via Berezin quantization. Zbl 1185.22008 Cahen, Benjamin 8 2009 Contraction of discrete series via Berezin quantization. Zbl 1185.22007 Cahen, Benjamin 6 2009 Weyl quantization for the semidirect product of a compact Lie group and a vector space. Zbl 1212.81015 Cahen, B. 3 2009 Multiplicities of compact Lie group representations via Berezin quantization. Zbl 1199.22016 Cahen, Benjamin 2 2008 Weyl quantization for semidirect products. Zbl 1117.81087 Cahen, Benjamin 11 2007 Weyl quantization for principal series. Zbl 1134.22010 Cahen, Benjamin 3 2007 Contractions of \(\mathrm{SU}(1,n)\) and \(\mathrm{SU}(n+1)\) via Berezin quantization. Zbl 1131.22005 Cahen, Benjamin 5 2006 Contraction of \(\mathrm{SU}(1,1)\) to the Heisenberg group. (Contraction de \(\mathrm{SU}(1,1)\) vers le groupe de Heisenberg.) Zbl 1074.22005 Cahen, Benjamin 9 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 1032.22004 Cahen, Benjamin 7 2003 Quantification of coadjoint orbits and the theory of contractions. (Quantification d’orbites coadjointes et théorie des contractions.) Zbl 0973.22009 Cahen, 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 0987.22008 Cahen, Benjamin 2 2001 Minimal realizations of classical simple Lie algebras through deformations. Zbl 0923.17010 Arnal, Didier; Benamor, Hádi; Cahen, Benjamin 3 1998 Quantization of a massive orbit of a generalized Poincaré group. (Quantification d’une orbite massive d’un groupe de Poincaré généralisé.) Zbl 0883.22016 Cahen, Benjamin 8 1997 Deformation program for principal series representations. Zbl 0843.22020 Cahen, B. 11 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 0864.17010 Cahen, Benjamin 2 1996 Algebraic deformation program on minimal nilpotent orbit. Zbl 0805.17009 Arnal, 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 0726.22012 Arnal, Didier; Cahen, Benjamin; Cahen, Michel; Gutt, Simone 1 1991 all cited Publications top 5 cited Publications all top 5 Cited by 33 Authors 25 Cahen, Benjamin 5 Beltiţă, Daniel 4 Beltiţă, Ingrid 3 Barbaresco, Frédéric 2 Arnal, Didier 2 Berceanu, Stefan 2 Tounsi, Khaled 1 Adimi, Hadjer 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 Makhlouf, Abdenacer 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 34 Serials 3 Letters in Mathematical Physics 3 Journal of Geometry and Physics 3 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 Archivum Mathematicum 1 Commentationes Mathematicae Universitatis Carolinae 1 Czechoslovak Mathematical Journal 1 Illinois Journal of Mathematics 1 Kodai Mathematical Journal 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 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 Kyushu Journal of Mathematics 1 Journal of Lie Theory 1 Bulletin des Sciences Mathématiques 1 Nihonkai Mathematical Journal 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 19 Fields 33 Topological groups, Lie groups (22-XX) 18 Quantum theory (81-XX) 12 Differential geometry (53-XX) 11 Nonassociative rings and algebras (17-XX) 11 Several complex variables and analytic spaces (32-XX) 6 Functional analysis (46-XX) 6 Operator theory (47-XX) 4 Abstract harmonic analysis (43-XX) 4 Global analysis, analysis on manifolds (58-XX) 2 Number theory (11-XX) 2 Partial differential equations (35-XX) 2 Mechanics of particles and systems (70-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 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year