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@article{FAA_1986_20_3_a1, author = {I. M. Gel'fand and A. V. Zelevinskii}, title = {Algebraic and combinatorial aspects of the general theory of hypergeometric functions}, journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a}, pages = {17--34}, publisher = {mathdoc}, volume = {20}, number = {3}, year = {1986}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/FAA_1986_20_3_a1/} }
TY - JOUR AU - I. M. Gel'fand AU - A. V. Zelevinskii TI - Algebraic and combinatorial aspects of the general theory of hypergeometric functions JO - Funkcionalʹnyj analiz i ego priloženiâ PY - 1986 SP - 17 EP - 34 VL - 20 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/FAA_1986_20_3_a1/ LA - ru ID - FAA_1986_20_3_a1 ER -
%0 Journal Article %A I. M. Gel'fand %A A. V. Zelevinskii %T Algebraic and combinatorial aspects of the general theory of hypergeometric functions %J Funkcionalʹnyj analiz i ego priloženiâ %D 1986 %P 17-34 %V 20 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/FAA_1986_20_3_a1/ %G ru %F FAA_1986_20_3_a1
I. M. Gel'fand; A. V. Zelevinskii. Algebraic and combinatorial aspects of the general theory of hypergeometric functions. Funkcionalʹnyj analiz i ego priloženiâ, Tome 20 (1986) no. 3, pp. 17-34. http://geodesic.mathdoc.fr/item/FAA_1986_20_3_a1/
[1] Aigner M., Kombinatornaya teoriya, Mir, M., 1982 | MR
[2] Arnold V.I., “Koltso kogomologii gruppy krashenykh kos”, Mat. zametki, 5:2 (1969), 227–231 | MR | Zbl
[3] Beitmen G., Erdeii A., Vysshie transtsendentnye funktsii, T. 1, Nauka, M., 1973
[4] Berezin F.A., Gelfand I.M., “Neskolko zamechanii k teorii sfericheskikh funktsii, na simmetricheskikh rimanovykh mnogoobraziyakh”, Trudy MMO, 5, 1956, 311–352 | MR
[5] Burbaki N., Gruppy i algebry Li, gl. IV–VI, Mir, M., 1972 | MR | Zbl
[6] Gelfand I.M., “Obschaya teoriya gipergeometricheskikh funktsii”, DAN SSSR, 288:1 (1986), 14–18 | MR
[7] Gelfand I.M., Gelfand S.I., “Obobschennye gipergeometricheskie uravneniya”, DAN SSSR, 288:2 (1986), 279–283 | MR
[8] Gelfand I.M., Gindikin S.G., Graev M.I., “Integralnaya geometriya v affinnom, i proektivnom prostranstvakh”, Sovr. probl. mat., 16, VINITI, 1980, 53–226 | MR
[9] Gelfand I.M., Graev M.I., “Teorema dvoistvennosti dlya obschikh gipergeometricheskikh funktsii”, DAN SSSR, 289:1 (1986), 00–00
[10] Gelfand I.M., Zelevinskii A.V., “Modeli predstavlenii klassicheskikh grupp i ikh skrytye simmetrii”, Funktsion. analiz i ego pril., 18:3 (1984), 14–31 | MR
[11] Lidskii B.V., “O funktsii Kostanta sistemy kornei $A_n$”, Funktsion. analiz i ego pril., 18:1 (1984), 76–77 | MR
[12] Tvistory i kalibrovochnye polya, Mir, M., 1983 | MR
[13] Atiyah M.F., “Convexity and commuting hamiltonians”, Bull. London Math. Soc., 14 (1982), 1–15 | DOI | MR | Zbl
[14] Bjorner A., “On the homology of geometriclattices”, Algebra Universalis, 14:1 (1982), 107–128 | DOI | MR
[15] Briskorn E., “Sur les groupes de tresses (d'après V.I. Arnold)”, Sém. Bourbaki 1971/72, Lect. Notes Math., no. 317, 1973, 21–44 | DOI | MR
[16] Cartier P., “Les arrangements d'hyperplans; un chapitre de géométric combinatoire”, Sem. Bourbaki, 1980/81, Lect. Notes Math., no. 901, 1981, 1–22 | MR | Zbl
[17] Crapo H., Rota G.C, On the foundations of combinatorial theory: combinatorial geometries M.I.T. Press, 1970 | MR
[18] Folkman J., “The homology groups of a lattice”, J. Math. and Mech., 15 (1966), 631–636 | MR | Zbl
[19] Gelfand I.M., MacPherson R., “Geometry in Grassmannians and a generalization of the dilogarithm”, Adv. in Math., 44:3 (1982), 279–312 | DOI | MR | Zbl
[20] Guillemin V., Sternberg S., “Convexity properties of the moment mapping”, Invent. Math., 67 (1982), 491–513 | DOI | MR | Zbl
[21] Kostant B., “A formula for the multiplicity of a weight”, Trans. Amer. Math. Soc., 93, 1959, 53–73 | DOI | MR | Zbl
[22] Orlik P., Solomon L., “Combinatorics and topology of complements of hyperplanes”, Invent. Math., 56 (1980), 167–189 | DOI | MR | Zbl
[23] Welsh D.J.A., Matroid theory, Academic Press, 1976 | MR | Zbl
[24] Aomoto K., “Les équations aux différences linéarres et les intégrales des fonctions multiformes”, J. Fac. Sci. Univ. Tokyo, Math., 22 (1975), 271–297 | MR | Zbl
[25] Aomoto K. Configurations and invariant Gauss–Manin connections of integrals I, Tokyo J. Math., 5 (1982), 249–287 | DOI | MR | Zbl