Geodesic
Classification of modules Gel'fand–Kirillov dimension $n$ and multiplicity 1 over the Weyl algebra $A_n$
Izvestiya. Mathematics, Tome 60 (1996) no. 5, pp. 877-885 
V. V. Bavula. Classification of modules Gel'fand–Kirillov dimension $n$ and multiplicity 1 over the Weyl algebra $A_n$. Izvestiya. Mathematics, Tome 60 (1996) no. 5, pp. 877-885. http://geodesic.mathdoc.fr/item/IM2_1996_60_5_a0/
@article{IM2_1996_60_5_a0,
     author = {V. V. Bavula},
     title = {Classification of modules {Gel'fand{\textendash}Kirillov} dimension $n$ and multiplicity~1 over the {Weyl} algebra~$A_n$},
     journal = {Izvestiya. Mathematics},
     pages = {877--885},
     year = {1996},
     volume = {60},
     number = {5},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1996_60_5_a0/}
}
TY  - JOUR
AU  - V. V. Bavula
TI  - Classification of modules Gel'fand–Kirillov dimension $n$ and multiplicity 1 over the Weyl algebra $A_n$
JO  - Izvestiya. Mathematics
PY  - 1996
SP  - 877
EP  - 885
VL  - 60
IS  - 5
UR  - http://geodesic.mathdoc.fr/item/IM2_1996_60_5_a0/
LA  - en
ID  - IM2_1996_60_5_a0
ER  - 
%0 Journal Article
%A V. V. Bavula
%T Classification of modules Gel'fand–Kirillov dimension $n$ and multiplicity 1 over the Weyl algebra $A_n$
%J Izvestiya. Mathematics
%D 1996
%P 877-885
%V 60
%N 5
%U http://geodesic.mathdoc.fr/item/IM2_1996_60_5_a0/
%G en
%F IM2_1996_60_5_a0

Voir la notice de l'article provenant de la source Math-Net.Ru

Modules of Gel'fand–Kirillov dimension $n$ and multiplicity 1 over the Weyl algebra $A_n$ are classified.

[1] Block R. E., “Classification of the irreducible representations of $\operatorname {sl}(2,\mathbb C)$”, Bull. Amer. Math. Soc., 1:1 (1979), 247–250 | DOI | MR | Zbl

[2] Block R. E., “The irreducible representations of the Lie algebra $\operatorname {sl}(2)$ and of the Weyl algebra”, Adv. Math., 39 (1981), 69–110 | DOI | MR | Zbl

[3] Bavula V. V., “Obobschennye algebry Veilya i ikh predstavleniya”, Algebra i analiz, 4:1 (1992), 75–97 | MR | Zbl

[4] Bavula V. V., “Prostye $D[X,Y;\sigma,a]$-moduli”, Ukr. matem. zhurn., 44:12 (1992), 1628–1644 | MR | Zbl

[5] Bernshtein I. N., “Moduli nad koltsom differentsialnykh operatorov. Izuchenie fundamentalnykh reshenii uravnenii s postoyannymi koeffitsientami”, Funkts. analiz i ego prilozh., 5:2 (1971), 1–16 | MR

[6] Bavula V. V., “Krainie moduli nad algebroi Veilya $A_n$”, Ukr. matem. zhurn., 45:5 (1993)

[7] Stafford J. T., “Non-holonomic modules over Weyl algebras and enveloping algebras”, Invent. Math., 92–93 (1985), 619–638 | DOI | MR

[8] Bavula V. V., “Krainie moduli nad algebroi Veilya $A_n$:”, Tez. dokl. Vsesoyuzn. shkoly po teorii operatorov v funkts. prostr., Nizhnii Novgorod, 1991, 16 | Zbl

[9] Roos J. E., “Sur les foncteurs derives de lim. Applications”, C. R. Acad. Sci., 252:24 (1961), 3702–3704 | MR | Zbl

[10] Gabriel P., Rentschler R., “Sur la dimension des anneaux et ensembles ordonnées”, C. R. Acad. Sci., 265 (1967), 712–715 | MR | Zbl

[11] Dixmier J., “Sur les algèbres de Weyl”, Bull. Soc. Math. France, 96 (1968), 209–242 | MR | Zbl

[12] Björk J. E., Rings of differential operator, North Holland, Amsterdam, 1979 | MR | Zbl