@article{AIHPA_1985__43_3_251_0, author = {Dittmann, Jochen and Rudolph, Gerd}, title = {Canonical realizations of {Lie} algebras associated with foliated coadjoint orbits}, journal = {Annales de l'I.H.P. Physique th\'eorique}, pages = {251--267}, publisher = {Gauthier-Villars}, volume = {43}, number = {3}, year = {1985}, mrnumber = {824841}, zbl = {0605.58023}, language = {en}, url = {http://www.numdam.org/item/AIHPA_1985__43_3_251_0/} }
TY - JOUR AU - Dittmann, Jochen AU - Rudolph, Gerd TI - Canonical realizations of Lie algebras associated with foliated coadjoint orbits JO - Annales de l'I.H.P. Physique théorique PY - 1985 SP - 251 EP - 267 VL - 43 IS - 3 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPA_1985__43_3_251_0/ LA - en ID - AIHPA_1985__43_3_251_0 ER -
%0 Journal Article %A Dittmann, Jochen %A Rudolph, Gerd %T Canonical realizations of Lie algebras associated with foliated coadjoint orbits %J Annales de l'I.H.P. Physique théorique %D 1985 %P 251-267 %V 43 %N 3 %I Gauthier-Villars %U http://www.numdam.org/item/AIHPA_1985__43_3_251_0/ %G en %F AIHPA_1985__43_3_251_0
Dittmann, Jochen; Rudolph, Gerd. Canonical realizations of Lie algebras associated with foliated coadjoint orbits. Annales de l'I.H.P. Physique théorique, Volume 43 (1985) no. 3, pp. 251-267. http://www.numdam.org/item/AIHPA_1985__43_3_251_0/
[1] Realizations of Lie algebras and algebraic treatment of quantum problems, Fortschr. Phys., t. 20, 1972, p. 105-133. | MR
, ,[2] Group-theoretical foundations of classical and quantum mechanics. I. Observables associated with Lie algebras, J. Math. Phys., t. 18, 1977, p. 1577-1581. | MR | Zbl
,[3] The moment map and collective motion, Ann. Phys., t. 127, 1, 1980, p. 220-257. | MR | Zbl
, ,[4] Theory of group representations and applications, Warszawa, PWN Polish Sci. Publ., 1977. | MR
, ,[5] Canonical realizations of classical Lie algebras, Czech. J. Phys. B, t. 26, 1976, p. 1213-1228. | MR | Zbl
, , ,[6] Sur les corps lies aux algèbres enveloppantes des algèbres de Lie, Inst. Hautes Études Sci. Publ. Math., t. 31, 1966, p. 509-523. | Numdam | MR | Zbl
, ,[7] Minimal realizations and spectrum generating algebras, Comm. Math. Phys., t. 36, 36, 1974, p. 325-337. | MR | Zbl
,[8] Эиеиенти теории представлений, изд. « Hayкa ». MOCКBa, 1972.
,[9] Quantization and unitary representations, in Lect. Notes Math., Vol. 170, Berlin-Heidelberg-New York, Springer-Verlag, 1972. | MR | Zbl
,[10] Lectures in geometric quantization, in Lect. Notes Phys., Vol. 53, Berlin-Heidelberg-New York, Springer-Verlag, 1976. | MR | Zbl
, ,[11] Symplectic manifolds and their Lagrangean submanifolds, Advanc. Math., t. 6, 1971, p. 329-346. | MR | Zbl
,[12] Lectures on symplectic manifolds, CBMS, no. 29, Rhode Island AMS, 1979. | MR | Zbl
,[13] Geometric asymptotics, Math. surveys, no. 14, Rhode Island AMS, Providence, 1977. | MR | Zbl
, ,[14] Lectures on characteristic classes and foliations, in Lect. Notes Math., t. 279, Berlin-Heidelberg-New York, Springer-Verlag, 1972. | MR | Zbl
,[15] Geometrical structure of quantization, in Lect. Notes Math., t. 570, Berlin-Heidelberg-New York, Springer-Verlag, 1976. | MR | Zbl
,[16] Éléments d'Analyse, Tome 4, 2e édition, Gauthier-Villars Éditeur, Paris/Bruxelles/Montréal, 1974.
,[17] Canonical realizations of the Lie algebras gl(n, R) and sl(n, R), Rep. Math. Phys., t. 8, no. 3, 1975. | MR | Zbl
, ,[18] Canonical realizations of Lie algebras related to associated bundles, Proc. of the Conf. on Diff. Geom. and its Applic., Nové Mĕsto, 1983, p. 51-59. | MR | Zbl
, ,[19] Konstruktion Kanonischer Realisierungen der Lie-Algebra sp(n, R) auf koadjungierten Orbits, Wiss. Z. KMU Leipzig, Math.- Naturwiss. R., t. 33, 1984, 1, p. 4-13. | MR | Zbl
, ,[20] Canonical realizations of Lie algebras and coadjoint orbits. Part I. Lagrangean foliations of symplectic manifolds, prepr. KMU-OFT 06/82, Leipzig, 1982.
, ,[21] Canonical realizations of Lie algebras and coadjoint orbits. Part II. Canonical realizations related to coadjoint orbits, prepr. KMU-QFT 03/83, Leipzig, 1983.
, ,[22] Sur la géométrie des sous-fibrés et des feuilletages lagrangiens, Ann. Scient. Ec. Norm. Sup. 4e série, t. 13, 1981, p. 465-480. | EuDML | Numdam | MR | Zbl
,[23] Feuilletages en géométrie symplectique, C. R. Acad. Sci. Paris, t. 294, 1982, p. 489-491. | MR | Zbl
,[24] Feuilletages et mécanique hamiltonienne, Publ. Dép. Math. Univ. de Lyon, 1983, 3. B. | EuDML | Numdam | MR | Zbl
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