Voir la notice de l'article provenant de la source Math-Net.Ru
@article{FAA_1971_5_1_a0, author = {J. H. Bernstein and I. M. Gel'fand and S. I. Gel'fand}, title = {Structure of representations generated by vectors of highest weight}, journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a}, pages = {1--9}, publisher = {mathdoc}, volume = {5}, number = {1}, year = {1971}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/FAA_1971_5_1_a0/} }
TY - JOUR AU - J. H. Bernstein AU - I. M. Gel'fand AU - S. I. Gel'fand TI - Structure of representations generated by vectors of highest weight JO - Funkcionalʹnyj analiz i ego priloženiâ PY - 1971 SP - 1 EP - 9 VL - 5 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/FAA_1971_5_1_a0/ LA - ru ID - FAA_1971_5_1_a0 ER -
J. H. Bernstein; I. M. Gel'fand; S. I. Gel'fand. Structure of representations generated by vectors of highest weight. Funkcionalʹnyj analiz i ego priloženiâ, Tome 5 (1971) no. 1, pp. 1-9. http://geodesic.mathdoc.fr/item/FAA_1971_5_1_a0/
[1] Gelfand I.M., Kogomologii beskonechnomernykh algebr Li, nekotorye voprosy integralnoi geometrii, Doklad na mezhdunarodnom matematicheskom kongresse, 1970
[2] Verma D.-N., “Structure of certain induced representations of complex semisimple Lie algebras”, Bull. Amer. Math. Soc., 74 (1968), 160–166 | DOI | MR | Zbl
[3] Harish-Chandra, “On some applications of universal enveloping algebra of a semisimple Lie algebra”, Trans. Amer. Math. Soc., 70, 1951, 28–96 | DOI | MR | Zbl
[4] Teoriya algebr Li. Topologiya grupp Li, IL, M., 1962
[5] Serr Zh.-P., Algebry Li i gruppy Li, Mir, M., 1969 | MR | Zbl
[6] Gelfand I.M., Graev M.I., “Preobrazovaniya Fure bystro ubyvayuschikh funktsii na kompleksnykh poluprostykh gruppakh”, DAN SSSR, 131:3 (1960), 496–499
[7] Kostant B., “A formula for the multiplicity of a weight”, Trans. Amer Math. Soc., 93, 1959, 53–73 | DOI | MR | Zbl
[8] Parthasarathy K.R., Ranga Rao R., Varadarajan V.S., “Representations of complex semisimple Lie groups and Lie algebras”, Ann. Math., 85 (1967), 383–429 | DOI | MR | Zbl
[9] Bourbaki N., Groupes et algebres de Lie, ch. 4–6, Hermann, 1968 | MR
[10] Kostant B., “Lie algebra cohomology and generalised Schubert cells”, Ann. Math., 77 (1963), 72–144 | DOI | MR | Zbl
[11] Verma D.-N., Structure of certain induced representations of complex semisimple Lie algebras, Dissertation, Yale Univ., 1966 | MR
[12] Zarisskii O., Samyuel P., Kommutativnaya algebra, v. 1, IL, M., 1963