Mots-clés : filtrations of Lie algebras
@article{SM_2012_203_1_a3,
author = {A. N. Panov},
title = {Representations of filtered solvable {Lie} algebras},
journal = {Sbornik. Mathematics},
pages = {75--87},
year = {2012},
volume = {203},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_2012_203_1_a3/}
}
A. N. Panov. Representations of filtered solvable Lie algebras. Sbornik. Mathematics, Tome 203 (2012) no. 1, pp. 75-87. http://geodesic.mathdoc.fr/item/SM_2012_203_1_a3/
[1] R. E. Block, “The irreducible representations of the Weyl algebra $A_1$”, Séminaire d'Alg`ebre Paul Dubreil 31`eme année (Paris, 1977–1978), Lecture Notes in Math., 740, Springer-Verlag, Berlin, 1979, 69–79 | DOI | MR | Zbl
[2] R. E. Block, “The irreducible representations of the Lie algebra $\mathrm{sl}(2)$ and of the Weyl algebra”, Adv. in Math., 39:1 (1981), 69–110 | DOI | MR | Zbl
[3] J. Dixmier, Algèbres enveloppantes, Gauthier-Villars, Paris–Brussels–Montreal, 1974 | MR | MR | Zbl
[4] I. N. Bernshtein, I. M. Gel'fand, S. I. Gel'fand, “Structure of representations generated by vectors of highest weight”, Funct. Anal. Appl., 5:1 (1971), 1–8 | DOI | MR | Zbl
[5] M. Vergne, “Construction de sous-algèbres subordonnées à un élément du dual d'une algèbre de résoluble I, II”, C. R. Acad. Sci. Paris Sér. A–B, 270 (1970), 173–175, 704–707 | MR | MR | Zbl | Zbl
[6] A. A. Kirillov, “Unitary representations of nilpotent Lie groups”, Russian Math. Surveys, 17:4 (1962), 53–104 | DOI | MR | Zbl
[7] A. A. Kirillov, Lectures on the orbit method, Grad. Stud. Math., 64, Amer. Math. Soc., Providence, RI, 2004 | MR | Zbl
[8] A. N. Panov, Predstavleniya algebr Li s filtratsiei, dep. v VINITI No 3012-79
[9] N. Bourbaki, Éléments de mathématique. Groupes et algèbres de Lie. Chap. I: Algèbres de Lie. Chap. II: Algèbres de Lie libres. Chap. III: Groupes de Lie, Hermann Cie, Paris, 1971–1972 | MR | MR | Zbl