@article{BSMF_1974__102__75_0,
author = {Joseph, Anthony},
title = {Symplectic structure in the enveloping algebra of a {Lie} algebra},
journal = {Bulletin de la Soci\'et\'e Math\'ematique de France},
pages = {75--83},
year = {1974},
publisher = {Soci\'et\'e math\'ematique de France},
volume = {102},
doi = {10.24033/bsmf.1770},
mrnumber = {50 #4678},
zbl = {0291.17008},
language = {en},
url = {https://www.numdam.org/articles/10.24033/bsmf.1770/}
}
TY - JOUR AU - Joseph, Anthony TI - Symplectic structure in the enveloping algebra of a Lie algebra JO - Bulletin de la Société Mathématique de France PY - 1974 SP - 75 EP - 83 VL - 102 PB - Société mathématique de France UR - https://www.numdam.org/articles/10.24033/bsmf.1770/ DO - 10.24033/bsmf.1770 LA - en ID - BSMF_1974__102__75_0 ER -
%0 Journal Article %A Joseph, Anthony %T Symplectic structure in the enveloping algebra of a Lie algebra %J Bulletin de la Société Mathématique de France %D 1974 %P 75-83 %V 102 %I Société mathématique de France %U https://www.numdam.org/articles/10.24033/bsmf.1770/ %R 10.24033/bsmf.1770 %G en %F BSMF_1974__102__75_0
Joseph, Anthony. Symplectic structure in the enveloping algebra of a Lie algebra. Bulletin de la Société Mathématique de France, Tome 102 (1974), pp. 75-83. doi: 10.24033/bsmf.1770
[1] . - Sur les représentations unitaires des groupes de Lie nilpotents, II., Bull. Soc. math. Fr., t. 85, 1957, p. 325-388. | Zbl | MR | Numdam | EuDML
[2] and . - Fields associated with enveloping algebras of Lie algebras, Soviet Mathematics, t. 7, 1966, p. 407-409 [en russe] ; Doklady Akad. Nauk SSSR, t. 167, 1966, p. 503-505. | Zbl
[3] and . - Sur les corps liés aux algèbres enveloppantes des algèbres de Lie. - Paris, Presses universitaires de France, 1966 (Institut des Hautes Études Scientifiques, Publications mathématiques, 31, p. 5-19). | Zbl | MR | Numdam | EuDML
[4] and . - Structure of the Lie field connected with a split semisimple Lie algebra [en russe], Funkcional'nyj Analiz, t. 3, 1969, fasc. 1, p. 7-26. | Zbl | MR
[5] . - Differential geometry and symmetric spaces. - New York, Academic Press, 1962 (Pure and applied Mathematics, Academic Press, 12). | Zbl | MR
[6] . - Lie algebras. - New York, Interscience Publishers, 1962 (Interscience Tracts in pure and applied Mathematics, 10). | Zbl
[7] . - Commuting polynomials in quantum canonical operators and realizations of Lie algebras, J. of math. Phys., t. 13, 1972, p. 351-357. | Zbl | MR
[8] . - Gel'fand-Kirillov dimension for algebras associated with the Weyl algebra, Ann. Inst. H. Poincaré, série A, t. 17, 1973, p. 325-336. | Zbl | MR | Numdam | EuDML
[9] . - Proof of the Gel'fand-Kirillov conjecture for solvable Lie algebras, Proc. Amer. math. Soc. (à paraître). | Zbl
[10] . - Algebra. - New York, Addison-Wesley publishing Company, 1965 (Addison-Wesley Series in Mathematics). | Zbl | MR
[11] . - Sur certains sous-corps commutatifs du corps enveloppant d'une algèbre de Lie résoluble, Bull. Sc. math., série 2, t. 96, 1972, p. 111-128. | Zbl
Cité par Sources :







