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Author ID: cahen.benjamin Recent zbMATH articles by "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: 53 Publications since 1991
Reviewing Activity: 203 Reviews
Co-Authors: 6 Co-Authors with 5 Joint Publications
116 Co-Co-Authors
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 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

Publications by Year

Citations contained in zbMATH Open

39 Publications have been cited 168 times in 45 Documents Cited by Year
Deformation program for principal series representations. Zbl 0843.22020
Cahen, B.
11
1996
Berezin quantization on generalized flag manifolds. Zbl 1183.22006
Cahen, Benjamin
11
2009
Weyl quantization for semidirect products. Zbl 1117.81087
Cahen, Benjamin
11
2007
Berezin quantization and holomorphic representations. Zbl 1272.22007
Cahen, Benjamin
11
2013
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
Stratonovich-Weyl correspondence for compact semisimple Lie groups. Zbl 1218.22008
Cahen, Benjamin
7
2010
Contraction of compact semisimple Lie groups via Berezin quantization. Zbl 1185.22008
Cahen, Benjamin
7
2009
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
Global parametrization of scalar holomorphic coadjoint orbits of a quasi-Hermitian Lie group. Zbl 1296.22007
Cahen, Benjamin
7
2013
Quantification of coadjoint orbits and the theory of contractions. (Quantification d’orbites coadjointes et théorie des contractions.) Zbl 0973.22009
Cahen, Benjamin
6
2001
Stratonovich-Weyl correspondence for the real diamond group. Zbl 1293.22003
Cahen, Benjamin
6
2013
Contraction of discrete series via Berezin quantization. Zbl 1185.22007
Cahen, Benjamin
5
2009
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
Stratonovich-Weyl correspondence for the Jacobi group. Zbl 1304.22005
Cahen, Benjamin
5
2014
Berezin transform and Stratonovich-Weyl correspondence for the multi-dimensional Jacobi group. Zbl 1359.22010
Cahen, Benjamin
5
2016
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
Weyl quantization for principal series. Zbl 1134.22010
Cahen, Benjamin
3
2007
Minimal realizations of classical simple Lie algebras through deformations. Zbl 0923.17010
Arnal, Didier; Benamor, Hádi; Cahen, Benjamin
3
1998
Weyl quantization for the semidirect product of a compact Lie group and a vector space. Zbl 1212.81015
Cahen, B.
3
2009
Weyl calculus on the Fock space and Stratonovich-Weyl correspondence for Heisenberg motion groups. Zbl 1440.22015
Cahen, Benjamin
2
2018
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
Berezin quantization for holomorphic discrete series representations: the non-scalar case. Zbl 1257.22010
Cahen, Benjamin
2
2012
Multiplicities of compact Lie group representations via Berezin quantization. Zbl 1199.22016
Cahen, Benjamin
2
2008
Stratonovich-Weyl correspondence via Berezin quantization. Zbl 1322.22014
Cahen, Benjamin
2
2014
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
Contractions of Lie algebras with 2-dimensional generic coadjoint orbits. Zbl 1393.17012
Beltiţă, Daniel; Cahen, Benjamin
2
2015
A contraction of the principal series by Berezin-Weyl quantization. Zbl 1283.81094
Cahen, Benjamin
2
2013
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
Some remarks on the notion of contraction of Lie group representations. Zbl 1265.22010
Cahen, Benjamin
1
2010
Stratonovich-Weyl correspondence for the generalized Poincaré group. Zbl 1402.81181
Cahen, 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 0726.22012
Arnal, Didier; Cahen, Benjamin; Cahen, Michel; Gutt, Simone
1
1991
Invariant symbolic calculus for semidirect products. Zbl 1463.81016
Cahen, Benjamin
1
2018
Berezin transform for non-scalar holomorphic discrete series. Zbl 1249.22008
Cahen, Benjamin
1
2012
Schrödinger model and Stratonovich-Weyl correspondence for Heisenberg motion groups. Zbl 1372.22012
Cahen, Benjamin
1
2016
The complex Weyl calculus as a Stratonovich-Weyl correspondence for the real diamond group. Zbl 1475.22019
Cahen, Benjamin
1
2020
A note on the harmonic representation of \(\mathrm{SU}(p,q)\). Zbl 07721315
Cahen, Benjamin
1
2022
A note on the harmonic representation of \(\mathrm{SU}(p,q)\). Zbl 07721315
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
2
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
5
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
5
2014
Stratonovich-Weyl correspondence via Berezin quantization. Zbl 1322.22014
Cahen, Benjamin
2
2014
Berezin quantization and holomorphic representations. Zbl 1272.22007
Cahen, Benjamin
11
2013
Global parametrization of scalar holomorphic coadjoint orbits of a quasi-Hermitian Lie group. Zbl 1296.22007
Cahen, Benjamin
7
2013
Stratonovich-Weyl correspondence for the real diamond group. Zbl 1293.22003
Cahen, Benjamin
6
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
2
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
11
2009
Contraction of compact semisimple Lie groups via Berezin quantization. Zbl 1185.22008
Cahen, Benjamin
7
2009
Contraction of discrete series via Berezin quantization. Zbl 1185.22007
Cahen, Benjamin
5
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

Citations by Year