Celebratio Mathematica

Dmitry Fuchs

Reflections and reminiscences on Dmitry Borisovich Fuchs

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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: “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 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, 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

D. B. Fuks: “Char­ac­ter­ist­ic classes of fo­li­ations,” Usp. Mat. Nauk 28 : 2(170) (1973), pp. 3–​17. An Eng­lish trans­la­tion was pub­lished in Russ. Math. Surv. 28:2 (1973). MR 415635 Zbl 0272.​57012 article

D. B. Fuks: “Quil­len­iz­a­tion and bor­d­isms,” Funk­cion­al. Anal. i Priložen. 8 : 1 (1974), pp. 36–​42. An Eng­lish trans­la­tion was pub­lished in Funct. Anal. Ap­pl. 8:1 (1974). MR 343301 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

D. B. Fuks: “Co­homo­logy of in­fin­ite-di­men­sion­al Lie al­geb­ras and char­ac­ter­ist­ic classes of fo­li­ations,” pp. 179–​285 in Ser­iya sovre­mennye prob­lemy matem­atiki [Cur­rent prob­lems in math­em­at­ics]. Ser­iya sovre­mennye prob­lemy matem­atiki 10. VIN­ITI (Mo­scow), 1978. An Eng­lish trans­la­tion was pub­lished in J. Sov. Math. 11:6 (1978). MR 513337 incollection

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

B. L. Feĭ­gin and D. B. Fuks: “In­vari­ant dif­fer­en­tial op­er­at­ors on the line,” Funkts. Anal. Prilozh. 13 : 4 (1979), pp. 91–​92. An Eng­lish trans­la­tion was pub­lished in Funct. Anal. Ap­pl. 13:4 (1980). MR 554429 Zbl 0425.​58024 article

B. L. Feĭ­gin and D. B. Fuks: “In­vari­ant skew-sym­met­ric dif­fer­en­tial op­er­at­ors on the line and Verma mod­ules over the Vi­ra­s­oro al­gebra,” Funct. Anal. Ap­pl. 16 : 2 (1982), pp. 114–​126. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Funkts. Anal. Prilozh. 16:2 (1982). MR 659165 Zbl 0505.​58031 article

B. L. Fei­gin and D. B. Fuks: “Verma mod­ules over the Vi­ra­s­oro al­gebra,” Funct. Anal. Ap­pl. 17 : 3 (1983), pp. 241–​242. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Funkts. Anal. Prilozh. 17:3 (1983). Zbl 0529.​17010 article

D. B. Fuks: Co­homo­logy of in­fin­ite-di­men­sion­al Lie al­geb­ras. Con­tem­por­ary So­viet math­em­at­ics. Con­sult­ants Bur­eau (New York), 1986. Eng­lish trans­la­tion of 1984 Rus­si­an ori­gin­al. MR 874337 Zbl 0667.​17005 book

B. L. Fei­gin and D. B. Fuchs: “Rep­res­ent­a­tions of the Vi­ra­s­oro al­gebra,” pp. 465–​554 in Rep­res­ent­a­tion of Lie groups and re­lated top­ics. Edi­ted by A. M. Ver­shik and D. P. Zh­el­oben­ko. Ad­vanced Stud­ies in Con­tem­por­ary Math­em­at­ics 7. Gor­don and Breach (New York), 1990. An earli­er ver­sion of this ap­peared as a Stock­holm Uni­versity re­search re­port (1986). MR 1104280 Zbl 0722.​17020 incollection