Minimal realizations of classical simple Lie algebras through deformations
Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 7 (1998) no. 2, pp. 169-184. 
@article{AFST_1998_6_7_2_169_0,
     author = {Arnal, Didier and Benamor, H\'adi and Cahen, Benjamin},
     title = {Minimal realizations of classical simple {Lie} algebras through deformations},
     journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
     pages = {169--184},
     publisher = {Universit\'e Paul Sabatier. Facult\'e des sciences},
     address = {Toulouse},
     volume = {Ser. 6, 7},
     number = {2},
     year = {1998},
     mrnumber = {1656166},
     zbl = {0923.17010},
     language = {en},
     url = {http://www.numdam.org/item/AFST_1998_6_7_2_169_0/}
}
TY  - JOUR
AU  - Arnal, Didier
AU  - Benamor, Hádi
AU  - Cahen, Benjamin
TI  - Minimal realizations of classical simple Lie algebras through deformations
JO  - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY  - 1998
SP  - 169
EP  - 184
VL  - 7
IS  - 2
PB  - Université Paul Sabatier. Faculté des sciences
PP  - Toulouse
UR  - http://www.numdam.org/item/AFST_1998_6_7_2_169_0/
LA  - en
ID  - AFST_1998_6_7_2_169_0
ER  - 
%0 Journal Article
%A Arnal, Didier
%A Benamor, Hádi
%A Cahen, Benjamin
%T Minimal realizations of classical simple Lie algebras through deformations
%J Annales de la Faculté des sciences de Toulouse : Mathématiques
%D 1998
%P 169-184
%V 7
%N 2
%I Université Paul Sabatier. Faculté des sciences
%C Toulouse
%U http://www.numdam.org/item/AFST_1998_6_7_2_169_0/
%G en
%F AFST_1998_6_7_2_169_0
Arnal, Didier; Benamor, Hádi; Cahen, Benjamin. Minimal realizations of classical simple Lie algebras through deformations. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 7 (1998) no. 2, pp. 169-184. http://www.numdam.org/item/AFST_1998_6_7_2_169_0/

[1] Arnal (D.), Benamor (H.) and Cahen (B.) .- Algebraic Deformation Program on Minimal Nilpotent Orbit, Lett. Math. Phys. 30 (1994), pp. 241-250. | MR | Zbl

[2] Arnal (D.) and Cortet (J.-C.) . - Nilpotent Fourier Transform and Applications, Lett. Math. Phys. 9 (1985), pp. 25-34. | MR | Zbl

[3] Arnal (D.) and Cortet (J.-C.) .- Représentations * des groupes exponentiels, J. of Funct. Anal. 92 (1990), pp. 103-135. | MR | Zbl

[4] Arnal (D.), Cortet (J.-C.) and Ludwig (J.) .- Moyal Product and Representations of Solvable Lie Groups, J. of Funct. Anal. 133 (1995), pp. 402-424. | MR | Zbl

[5] Bayen (F.), Flato (M.), Fronsdal (C.), Lichnerowicz (A.) and Sternheimer (D.) .- Deformation theory and Quantization, Ann. Phys. 110 (1978), pp. 61-151. | MR | Zbl

[6] Conze (N.) . - Algèbres d'opérateurs différentiels et quotient des algèbres enveloppantes, Bull. Soc. Math. France 102 (1974), pp. 379-415. | Numdam | MR | Zbl

[7] Fronsdal (C.) .- Some ideas about Quantization, Reports on Math. Phys. 15 (1978), pp. 111-145. | MR | Zbl

[8] Joseph (A.) .- Minimal Realizations and Spectrum Generating Algebras, Comm. Math. Phys. 36 (1974), pp. 325-338. | MR | Zbl

[9] Joseph (A.) .- The minimal orbit in a simple Lie algebra and its associated maximal ideal, Ann. Sci. Ecole Norm. Sup. 9 (1976), pp. 1-30. | Numdam | MR | Zbl

[10] Sternberg (S.) and Wolf (J.) .- Hermitian Lie algebras and metaplectic representations, Trans. Math. Soc. 238 (1978), pp. 1-43. | MR | Zbl

[11] Wolf (J.) . - Representations associated to minimal coadjoint orbits, in Lecture Notes in Math., Springer-Verlarg, New York 676 (1978). | MR | Zbl

[12] Varadarajan (V.S.) .- Lie Groups, Lie Algebras and Their Representations, Springer-Verlag, New York (1984). | MR | Zbl