Celebratio Mathematica

Dmitry Fuchs

Complete Bibliography

Works connected to Israïl Moiseevich Gelfand

Filter the Bibliography List

clear

I. M. Gel’fand and D. B. Fuks: “Co­homo­logy of Lie groups with real coef­fi­cients,” Dokl. Akad. Nauk SSSR 176 : 1 (1967), pp. 24–​27. An Eng­lish trans­la­tion was pub­lished in Sov. Math., Dokl. 8 (1967). MR 226664 article

I. M. Gel’fand and D. B. Fuks: “To­po­lo­gic­al in­vari­ants of non­com­pact Lie groups con­nec­ted with in­fin­ite di­men­sion­al rep­res­ent­a­tions,” Dokl. Akad. Nauk SSSR 177 : 4 (1967), pp. 763–​766. An Eng­lish trans­la­tion was pub­lished in Sov. Math., Dokl. 8 (1967). MR 226665 article

I. M. Gel’fand and D. B. Fuks: “The to­po­logy of non­com­pact Lie groups,” Funk­cion­al. Anal. i Priložen. 1 : 4 (October 1967), pp. 33–​45. An Eng­lish trans­la­tion was pub­lished in Funct. Anal. Ap­pl. 1:4 (1967). MR 226666 article

I. M. Gel’fand and D. B. Fuks: “To­po­logy of non­com­pact Lie groups,” Funct. Anal. Ap­pl. 1 : 4 (October 1967), pp. 285–​295. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Funk­cion­al. Anal. i Priložen. 1:4 (1967). Zbl 0169.​54702 article

I. M. Gel’fand and D. B. Fuks: “Co­homo­lo­gies of Lie groups with real coef­fi­cients,” Sov. Math., Dokl. 8 (1967), pp. 1031–​1034. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Dokl. Akad. Nauk SSSR 176:1 (1967). Zbl 0169.​54801 article

I. M. Gel’fand and D. B. Fuks: “To­po­lo­gic­al in­vari­ants of non­com­pact Lie groups re­lated to in­fin­ite- di­men­sion­al rep­res­ent­a­tions,” Sov. Math., Dokl. 8 (1967), pp. 1483–​1486. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Dokl. Akad. Nauk SSSR 177:4 (1967). Zbl 0169.​54802 article

I. M. Gel’fand and D. B. Fuks: “Clas­si­fy­ing spaces for prin­cip­al bundles with Haus­dorff bases,” Dokl. Akad. Nauk SSSR 181 : 3 (1968), pp. 515–​518. An Eng­lish trans­la­tion was pub­lished in Sov. Math., Dokl. 9:3 (1968). MR 232391 article

I. M. Gel’fand and D. B. Fuks: “Co­homo­lo­gies of the Lie al­gebra of vec­tor fields on the circle,” Funk­cion­al. Anal. i Priložen. 2 : 4 (1968), pp. 92–​93. An Eng­lish trans­la­tion was pub­lished in Funct. Anal. Ap­pl. 2:4 (1968). MR 245035 article

I. M. Gel’fand and D. B. Fuks: “The co­homo­lo­gies of the Lie al­gebra of the vec­tor fields in a circle,” Funct. Anal. Ap­pl. 2 : 4 (October 1968), pp. 342–​343. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Funkts. Anal. Prilozh. 2:4 (1968). Zbl 0176.​11501 article

I. M. Gel’fand and D. B. Fuks: “On clas­si­fy­ing spaces for prin­cip­al fiber­ings with Haus­dorff bases,” Sov. Math., Dokl. 9 : 3 (1968), pp. 851–​854. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Dokl. Akad. Nauk SSSR 181:3 (1968). Zbl 0181.​26602 article

I. M. Gel’fand and D. B. Fuks: “Co­homo­lo­gies of the Lie al­gebra of vec­tor fields on a man­i­fold,” Funk­cion­al. Anal. i Priložen. 3 : 2 (1969), pp. 87. An Eng­lish trans­la­tion was pub­lished in Funct. Anal. Ap­pl. 3:2 (1969). MR 245036 article

I. M. Gel’fand and D. B. Fuks: “Co­homo­lo­gies of the Lie al­gebra of tan­gent vec­tor fields of a smooth man­i­fold,” Funk­cion­al. Anal. i Priložen. 3 : 3 (1969), pp. 32–​52. An Eng­lish trans­la­tion was pub­lished in Funct. Anal. Ap­pl. 3:3 (1969). MR 256411 article

I. M. Gel’fand and D. B. Fuks: “Co­homo­lo­gies of Lie al­geb­ras of vec­tor fields on a man­i­fold,” Funct. Anal. Ap­pl. 3 : 2 (April 1969), pp. 155. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Funkts. Anal. Prilozh. 3:2 (1969). article

I. M. Gel’fand and D. B. Fuks: “Co­homo­lo­gies of Lie al­gebra of tan­gen­tial vec­tor fields of a smooth man­i­fold,” Funct. Anal. Ap­pl. 3 : 3 (July 1969), pp. 194–​210. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Funk­cion­al. Anal. i Priložen. 3:3 (1969). Zbl 0216.​20301 article

I. M. Gel’fand and D. B. Fuks: “Co­homo­lo­gies of the Lie al­gebra of form­al vec­tor fields,” Izv. Akad. Nauk SSSR Ser. Mat. 34 : 2 (1970), pp. 322–​337. MR 266195 article

I. M. Gel’fand and D. B. Fuks: “Co­homo­lo­gies of the Lie al­gebra of smooth vec­tor fields,” Dokl. Akad. Nauk SSSR 190 : 6 (1970), pp. 1267–​1270. An Eng­lish trans­la­tion was pub­lished in Sov. Math., Dokl. 11 (1970). MR 285023 article

I. M. Gel’fand and D. B. Fuks: “Co­homo­lo­gies of the Lie al­gebra of tan­gent vec­tor fields of a smooth man­i­fold, II,” Funk­cion­al. Anal. i Priložen. 4 : 2 (1970), pp. 23–​31. An Eng­lish trans­la­tion was pub­lished in Funct. Anal. Ap­pl. 4:2 (1970). MR 285024 article

I. M. Gel’fand and D. B. Fuks: “Up­per bounds for the co­homo­logy of in­fin­ite-di­men­sion­al Lie al­geb­ras,” Funk­cion­al. Anal. i Priložen. 4 : 4 (1970), pp. 70–​71. An Eng­lish trans­la­tion was pub­lished in Funct. Anal. Ap­pl. 4:4 (1970). MR 287589 article

I. M. Gel’fand and D. B. Fuks: “Cycles that rep­res­ent co­homo­logy classes of the Lie al­gebra of form­al vec­tor fields,” Usp. Mat. Nauk 25 : 5(155) (1970), pp. 239–​240. MR 293660 Zbl 0216.​20401 article

I. M. Gel’fand and D. B. Fuks: “Co­homolgy of Lie al­geb­ras of vec­tor fields with non­trivi­al coef­fi­cients,” Funk­cion­al. Anal. i Priložen. 4 : 3 (1970), pp. 10–​25. An Eng­lish trans­la­tion was pub­lished in Funct. Anal. Ap­pl. 4:3 (1970). MR 298703 article

I. M. Gel’fand and D. B. Fuks: “Co­homo­lo­gies of Lie al­gebra of tan­gen­tial vec­tor fields, II,” Funct. Anal. Ap­pl. 4 : 2 (April 1970), pp. 110–​116. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Funkts. Anal. Prilozh. 4:2 (1970). Zbl 0208.​51401 article

I. M. Gel’fand and D. B. Fuks: “Co­homo­lo­gies of Lie al­gebra of vec­tor fields with non­trivi­al coef­fi­cients,” Funct. Anal. Ap­pl. 4 : 3 (July 1970), pp. 181–​192. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Funk­cion­al. Anal. i Priložen. 4:3 (1970). Zbl 0222.​58001 article

I. M. Gel’fand and D. B. Fuks: “Up­per bounds for co­homo­logy of in­fin­ite-di­men­sion­al Lie al­geb­ras,” Funct. Anal. Ap­pl. 4 : 4 (October 1970), pp. 323–​324. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Funk­cion­al. Anal. i Priložen. 4:4 (1970). Zbl 0224.​18013 article

I. M. Gel’fand and D. B. Fuks: “On co­homo­lo­gies of the Lie al­gebra of smooth vec­tor fields,” Sov. Math., Dokl. 11 (1970), pp. 268–​271. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Dokl. Akad. Nauk SSSR 190:6 (1970). Zbl 0264.​17005 article

I. M. Gel’fand and D. B. Fuks: “Co­homo­logy of the Lie al­gebra of form­al vec­tor fields,” Math. USSR, Izv. 4 : 2 (April 1971), pp. 327–​342. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Izv. Akad. Nauk SSSR Ser. Mat. 34:2. Zbl 0216.​20302 article

I. M. Gel’fand, D. A. Kazh­dan, and D. B. Fuks: “The ac­tions of in­fin­ite-di­men­sion­al Lie al­geb­ras,” Funk­cion­al. Anal. i Priložen. 6 : 1 (1972), pp. 10–​15. An Eng­lish trans­la­tion was pub­lished in Funct. Anal. Ap­pl. 6:1 (1972). MR 301767 article

I. M. Gel’fand, D. I. Ka­lin­in, and D. B. Fuks: “Co­homo­logy of the Lie al­gebra of Hamilto­ni­an form­al vec­tor fields,” Funk­cion­al. Anal. i Priložen. 6 : 3 (1972), pp. 25–​29. An Eng­lish trans­la­tion was pub­lished in Funct. Anal. Ap­pl. 6:3 (1973). MR 312531 article

I. M. Gel’fand, D. A. Kazh­dan, and D. B. Fuks: “The ac­tions of in­fin­ite-di­men­sion­al Lie al­geb­ras,” Funct. Anal. Ap­pl. 6 : 1 (January 1972), pp. 9–​13. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Funk­cion­al. Anal. i Priložen. 6:1 (1972). Zbl 0267.​18023 article

I. M. Gel’fand and D. B. Fuks: “PL-fo­li­ations,” Funk­cion­al. Anal. i Priložen. 7 : 4 (1973), pp. 29–​37. An Eng­lish trans­la­tion was pub­lished in Funct. Anal. Ap­pl. 7:4 (1974). MR 339195 article

I. M. Gel’fand, D. I. Ka­lin­in, and D. B. Fuks: “Co­homo­logy of the Lie al­gebra of Hamilto­ni­an form­al vec­tor fields,” Funct. Anal. Ap­pl. 6 : 3 (July 1973), pp. 193–​196. Zbl 0259.​57023 article

I. M. Gel’fand, B. L. Feĭ­gin, and D. B. Fuks: “Co­homo­logy of the Lie al­gebra of form­al vec­tor fields with coef­fi­cients in its dual space and vari­ations of char­ac­ter­ist­ic classes of fo­li­ations,” Funk­cion­al. Anal. i Priložen. 8 : 2 (1974), pp. 13–​29. An Eng­lish trans­la­tion was pub­lished in Funct. Anal. Ap­pl. 8:2 (1974). MR 356082 article

S. G. Gindikin, A. A. Kir­illov, and D. B. Fuks: “The work of I. M. Gel’fand on func­tion­al ana­lys­is, al­gebra, and to­po­logy,” Usp. Mat. Nauk 29 : 1(175) (1974), pp. 195–​223. An Eng­lish trans­la­tion was pub­lished in Russ. Math. Surv. 29:1 (1974). MR 386977 Zbl 0288.​01022 article

I. M. Gel’fand and D. B. Fuks: “PL-fo­li­ations, II,” Funk­cion­al. Anal. i Priložen. 8 : 3 (1974), pp. 7–​11. An Eng­lish trans­la­tion was pub­lished in Funct. Anal. Ap­pl. 8:3 (1974). MR 418115 article

S. G. Gindikin, A. A. Kir­illov, and D. B. Fuks: “The work of I. M. Gel’fand on func­tion­al ana­lys­is, al­gebra, and to­po­logy,” Russ. Math. Surv. 29 : 1 (February 1974), pp. 5–​35. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Usp. Mat. Nauk 29:1(175) (1974). Zbl 0294.​01031 article

I. M. Gel’fand and D. B. Fuks: “PL-fo­li­ations,” Funct. Anal. Ap­pl. 7 : 4 (October 1974), pp. 278–​284. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Funk­cion­al. Anal. i Priložen. 7:4 (1973). Zbl 0294.​57016 article

I. M. Gel’fand, B. L. Fei­gin, and D. B. Fuks: “Co­homo­lo­gies of the Lie al­gebra of form­al vec­tor fields with coef­fi­cients in its ad­joint space and vari­ations of char­ac­ter­ist­ic classes of fo­li­ations,” Funct. Anal. Ap­pl. 8 : 2 (April 1974), pp. 99–​112. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Funk­cion­al. Anal. i Priložen. 8:2 (1974). Zbl 0298.​57011 article

I. M. Gel’fand and D. B. Fuks: “PL-fo­li­ations, II,” Funct. Anal. Ap­pl. 8 : 3 (July 1974), pp. 197–​200. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Funk­cion­al. Anal. i Priložen. 8:3 (1974). Zbl 0316.​57010 article

D. B. Fuchs, A. M. Gab­ri­elov, and I. M. Gel’fand: “The Gauss–Bon­net the­or­em and the Atiyah–Pat­odi–Sing­er func­tion­als for the char­ac­ter­ist­ic classes of fo­li­ations,” To­po­logy 15 : 2 (1976), pp. 165–​188. MR 431199 Zbl 0347.​57009 article

I. M. Gel’fand, B. L. Fei­gin, and D. B. Fuks: “Co­homo­lo­gies of in­fin­ite di­men­sion­al Lie al­geb­ras and Laplace op­er­at­ors,” Funkts. Anal. Prilozh. 12 : 4 (1978), pp. 1–​5. An Eng­lish trans­la­tion was pub­lished in Funct. Anal. Ap­pl. 12:4 (1979). MR 515625 Zbl 0396.​17008 article

I. M. Gel’fand, B. L. Fei­gin, and D. B. Fuks: “Co­homo­logy of in­fin­ite-di­men­sion­al Lie al­geb­ras and Laplace op­er­at­ors,” Funct. Anal. Ap­pl. 12 : 4 (1979), pp. 243–​247. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Funkts. Anal. Prilozh. 12:4 (1978). Zbl 0404.​17008 article

B. L. Fei­gin and D. B. Fuks: “Co­homo­logy of some nil­po­tent sub­al­geb­ras of the Vi­ra­s­oro and Kac–Moody Lie al­geb­ras,” J. Geom. Phys. 5 : 2 (1988), pp. 209–​235. Ded­ic­ated to I. M. Gel­fand on his 75th birth­day. MR 1029428 Zbl 0692.​17008 article