Filtering bases, cohomology of infinite-dimensional Lie algebras, and Laplace operators
Funkcionalʹnyj analiz i ego priloženiâ, Tome 19 (1985) no. 4, pp. 11-22.

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

@article{FAA_1985_19_4_a1,
     author = {F. V. Weinstein},
     title = {Filtering bases, cohomology of infinite-dimensional {Lie} algebras, and {Laplace} operators},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {11--22},
     publisher = {mathdoc},
     volume = {19},
     number = {4},
     year = {1985},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_1985_19_4_a1/}
}
TY  - JOUR
AU  - F. V. Weinstein
TI  - Filtering bases, cohomology of infinite-dimensional Lie algebras, and Laplace operators
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 1985
SP  - 11
EP  - 22
VL  - 19
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_1985_19_4_a1/
LA  - ru
ID  - FAA_1985_19_4_a1
ER  - 
%0 Journal Article
%A F. V. Weinstein
%T Filtering bases, cohomology of infinite-dimensional Lie algebras, and Laplace operators
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 1985
%P 11-22
%V 19
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_1985_19_4_a1/
%G ru
%F FAA_1985_19_4_a1
F. V. Weinstein. Filtering bases, cohomology of infinite-dimensional Lie algebras, and Laplace operators. Funkcionalʹnyj analiz i ego priloženiâ, Tome 19 (1985) no. 4, pp. 11-22. http://geodesic.mathdoc.fr/item/FAA_1985_19_4_a1/

[1] Gelfand I.M., “The cohomology of infinitedimensional Lie algebras. Some questions of integral geometry”, Actes du Congres Internationl des Mathematicies, 1, Nice, 1970, 95–111 | MR

[2] Locuk M.B., “O kogomologiyakh algebr Li vektornykh polei s netrivialnymi koeffitsientami”, Funktsion. analiz i ego pril., 6:4 (1972), 44–46 | MR

[3] Kac V.G., “Some problems on infinite-dimensional Lie algebras and their representations”, Lect. Notes Math., 933, 1982, 141–162 | MR

[4] Rocha-Carridi A., Wallach N.R., “Characters of irreducible representations of the Lie algebra of vector field on the circle”, Invent. Math., 72 (1983), 57–75 | DOI | MR

[5] Feigin B.L., Fucks D.B., “Verma modules over the Virasoro algebra”, Lect. Notes Math., 1060, 1984, 230–245 | DOI | MR

[6] Bukhshtaber V.M., Shokurov A.A., “Algebra Landvebera–Novikova i formalnye vektornye polya na pryamoi”, Funktsion. analiz i ego pril., 12:3 (1978), 1–11 | MR | Zbl

[7] Goncharova L.V., “Kogomologii algebr Li formalnykh vektornykh polei na pryamoi”, Funktsion. analiz i ego pril., 7:2 (1973), 6–14 ; 3, 33–44 | MR | Zbl

[8] Retakh B.C., Feigin B.L., “O kogomologiyakh nekotorykh algebr i superalgebr Li vektornykh polei”, UMN, 37:2 (1982), 233–234 | MR | Zbl

[9] Gelfand I.M., Feigin B.L., Fuks D.B., “Kogomologii beskonechnomernykh algebr Li i operatory Laplasa”, Funktsion. analiz i ego pril., 12:4 (1978), 1–5 | MR

[10] Fuks D.B., Kogomologii beskonechnomernykh algebr Li, Nauka, M., 1984 | MR

[11] Endryus G.E., Teoriya razbienii, Nauka, M., 1982 | MR