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@article{TRSPY_2015_290_a7, author = {V. L. Popov}, title = {Number of components of the nullcone}, journal = {Informatics and Automation}, pages = {95--101}, publisher = {mathdoc}, volume = {290}, year = {2015}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/TRSPY_2015_290_a7/} }
V. L. Popov. Number of components of the nullcone. Informatics and Automation, Modern problems of mathematics, mechanics, and mathematical physics, Tome 290 (2015), pp. 95-101. http://geodesic.mathdoc.fr/item/TRSPY_2015_290_a7/
[1] Andreev E.M., Vinberg E.B., Elashvili A.G., “Orbity naibolshei razmernosti poluprostykh lineinykh grupp Li”, Funkts. analiz i ego pril., 1:4 (1967), 3–7 | MR | Zbl
[2] Andreev E.M., Popov V.L., “O statsionarnykh podgruppakh tochek obschego polozheniya v prostranstve predstavleniya poluprostoi gruppy Li”, Funkts. analiz i ego pril., 5:4 (1971), 1–8 | MR
[3] Burbaki N., Gruppy i algebry Li, Glavy 4–6, Mir, M., 1972 | MR
[4] Vinberg E.B., Elashvili A.G., “Klassifikatsiya trivektorov devyatimernogo prostranstva”, Tr. sem. po vekt. i tenz. analizu s ikh pril. k geom., mekh. i fiz., 18, Izd-vo MGU, M., 1978, 197–233 | MR
[5] Vinberg E.B., Onischik A.L., Seminar po gruppam Li i algebraicheskim gruppam, Nauka, M., 1988 | MR
[6] Kats V.G., “K voprosu ob opisanii prostranstva orbit lineinykh algebraicheskikh grupp”, UMN, 30:6 (1975), 173–174 | MR
[7] Popov A.M., “Neprivodimye prostye lineinye gruppy Li s konechnymi standartnymi podgruppami obschego polozheniya”, Funkts. analiz i ego pril., 9:4 (1975), 81–82 | MR | Zbl
[8] Popov A.M., “Konechnye statsionarnye podgruppy obschego polozheniya prostykh lineinykh grupp Li”, Tr. Mosk. mat. o-va, 48 (1985), 7–59 | MR
[9] Popov V.L., “Predstavleniya so svobodnym modulem kovariantov”, Funkts. analiz i ego pril., 10:3 (1976), 91–92 | MR
[10] Popov V.L., “Konus nul-form Gilberta”, Tr. MIAN, 241 (2003), 192–209 | Zbl
[11] Khartskhorn R., Algebraicheskaya geometriya, Mir, M., 1981 | MR
[12] A'Campo N., Popov V.L., The computer algebra package HNC (Hilbert null cone), Math. Inst. Univ., Basel, 2004 http://www.geometrie.ch | Zbl
[13] Collingwood D.H., McGovern W.M., Nilpotent orbits in semisimple Lie algebras, Van Nostrand Reinhold, New York, 1993 | MR | Zbl
[14] Gatti V., Viniberghi E., “Spinors of 13-dimensional space”, Adv. Math., 30:2 (1978), 137–155 | DOI | MR
[15] Kac V.G., Popov V.L., Vinberg E.B., “Sur les groupes linéaires algébriques dont l'algèbre des invariants est libre”, C. r. Acad. sci. Paris. Sér. A, 283:12 (1976), 875–878 | MR | Zbl
[16] Kostant B., “The principal three-dimensional subgroup and the Betti numbers of a complex simple Lie group”, Amer. J. Math., 81 (1959), 973–1032 | DOI | MR | Zbl
[17] Kostant B., Rallis S., “Orbits and representations associated with symmetric spaces”, Amer. J. Math., 93 (1971), 753–809 | DOI | MR | Zbl
[18] Mumford D., Fogarty J., Kirwan F., Geometric invariant theory, Ergebn. Math. Grenzgeb., 34, 3rd ed., Springer, Berlin, 1994 | MR
[19] Popov V.L., Groups, generators, syzygies, and orbits in invariant theory, Transl. Math. Monogr., 100, Amer. Math. Soc., Providence, RI, 1992 | MR | Zbl
[20] Popov V., “Sections in invariant theory”, The Sophus Lie memorial conference (Oslo, 1992), Ed. by O.A. Laudal, B. Jahren, Scand. Univ. Press, Oslo, 1994, 315–361 | MR
[21] Popov V.L., “Self-dual algebraic varieties and nilpotent orbits”, Algebra, arithmetic and geometry, Proc. Int. Colloq., Mumbai, 2000, Part II, Stud. Math. Tata Inst. Fundam. Res., 16, Ed. by R. Parimala, Narosa Publ. House, New Delhi, 2002, 509–533 | MR | Zbl
[22] Popov V.L., “Projective duality and principal nilpotent elements of symmetric pairs”, Lie groups and invariant theory, AMS Transl. Ser. 2, 213, Ed. by E. Vinberg, Amer. Math. Soc., Providence, RI, 2005, 215–222 | MR | Zbl
[23] Popov V.L., Tevelev E.A., “Self-dual projective algebraic varieties associated with symmetric spaces”, Algebraic transformation groups and algebraic varieties, Encycl. Math. Sci., 132, Invariant Theory and Algebr. Transform. Groups; V. 3, Ed. by V.L. Popov, Springer, Berlin, 2004, 131–167 | MR | Zbl
[24] Popov V.L., Vinberg E.B., “Invariant theory”, Algebraic geometry IV, Encycl. Math. Sci., 55, Ed. by A.N. Parshin, I.R. Shafarevich, Springer, Berlin, 1994, 123–278 | MR