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Mathematics of the USSR-Izvestiya, 1982, Volume 18, Issue 1, Pages 185–194
DOI: https://doi.org/10.1070/IM1982v018n01ABEH001379
(Mi im1554)
 

This article is cited in 41 scientific papers (total in 42 papers)

On some infinite-dimensional groups. II

I. R. Shafarevich
References:
Abstract: This paper contains proofs of some previously announced theorems on infinitedimensional algebraic groups, and, in particular, on the structure of the group of automorphisms of an affine space as an infinite-dimensional algebraic group.
Bibliography: 9 titles.
Received: 23.09.1980
Bibliographic databases:
Document Type: Article
UDC: 513.6
MSC: Primary 14L99; Secondary 20G99
Language: English
Original paper language: Russian
Citation: I. R. Shafarevich, “On some infinite-dimensional groups. II”, Math. USSR-Izv., 18:1 (1982), 185–194
Citation in format AMSBIB
\Bibitem{Sha81}
\by I.~R.~Shafarevich
\paper On~some infinite-dimensional groups.~II
\jour Math. USSR-Izv.
\yr 1982
\vol 18
\issue 1
\pages 185--194
\mathnet{http://mi.mathnet.ru/eng/im1554}
\crossref{https://doi.org/10.1070/IM1982v018n01ABEH001379}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=607583}
\zmath{https://zbmath.org/?q=an:0491.14025|0475.14036}
Linking options:
  • https://www.mathnet.ru/eng/im1554
  • https://doi.org/10.1070/IM1982v018n01ABEH001379
  • https://www.mathnet.ru/eng/im/v45/i1/p214
    Erratum
    This publication is cited in the following 42 articles:
    1. Vasyl USTIMENKO, Computational Methods and Mathematical Modeling in Cyberphysics and Engineering Applications 1, 2024, 205  crossref
    2. Lucas Fresse, Ivan Penkov, “On Homogeneous Spaces for Diagonal Ind-Groups”, Transformation Groups, 2024  crossref
    3. Dan Kucerovsky, Contemporary Mathematics, 798, Advances in Functional Analysis and Operator Theory, 2024, 221  crossref
    4. V. V. Kikteva, “On the connectedness of the automorphism group of an affine toric variety”, Sb. Math., 215:10 (2024), 1351–1373  mathnet  crossref  crossref  mathscinet  adsnasa  isi
    5. A. M. Elishev, A. Ya. Belov, F. Razavinia, Yu Jie-Tai, Wenchao Zhang, “Polynomial automorphisms, quantization, and Jacobian conjecture related problems. I. Introduction”, Geometriya, mekhanika i differentsialnye uravneniya, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 213, VINITI RAN, M., 2022, 110–144  mathnet  crossref
    6. A. M. Elishev, A. Ya. Belov, F. Razavinia, Yu Jie-Tai, Wenchao Zhang, “Polynomial automorphisms, quantization, and Jacobian conjecture related problems. II. Quantization proof of Bergman's centralizer theorem”, Algebra, geometriya i kombinatorika, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 214, VINITI RAN, M., 2022, 107–126  mathnet  crossref
    7. A. M. Elishev, A. Ya. Belov, F. Razavinia, Yu Dzhi-Tai, Venchao Zheng, “Polinomialnye avtomorfizmy, kvantovanie i zadachi vokrug gipotezy Yakobiana. III. Avtomorfizmy, topologiya popolneniya i approksimatsiya”, Algebra, geometriya i kombinatorika, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 215, VINITI RAN, M., 2022, 95–128  mathnet  crossref
    8. Sergey A. Gaifullin, “Orbits of the Automorphism Group of Horospherical Varieties, and Divisor Class Group”, Proc. Steklov Inst. Math., 318 (2022), 38–44  mathnet  crossref  crossref  mathscinet
    9. A. M. Elishev, A. Ya. Belov, F. Razavinia, Yu Dzhi-Tai, Venchao Zheng, “Polinomialnye avtomorfizmy, kvantovanie i zadachi vokrug gipotezy Yakobiana. IV. Approksimatsii polinomialnymi simplektomorfizmami”, Algebra, geometriya, differentsialnye uravneniya, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 216, VINITI RAN, M., 2022, 153–171  mathnet  crossref
    10. A. M. Elishev, A. Ya. Belov, F. Razavinia, Yu Dzhi-Tai, Venchao Zheng, “Polinomialnye avtomorfizmy, kvantovanie i zadachi vokrug gipotezy Yakobiana. V. Gipoteza Yakobiana i problemy tipa Shpekhta i Bernsaida”, Algebra, geometriya, differentsialnye uravneniya, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 217, VINITI RAN, M., 2022, 107–137  mathnet  crossref
    11. Conformal Blocks, Generalized Theta Functions and the Verlinde Formula, 2021, 328  crossref
    12. V. L. Popov, “Three plots about Cremona groups”, Izv. Math., 83:4 (2019), 830–859  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    13. S. O. Gorchinskiy, Vik. S. Kulikov, A. N. Parshin, V. L. Popov, “Igor Rostislavovich Shafarevich and His Mathematical Heritage”, Proc. Steklov Inst. Math., 307 (2019), 1–21  mathnet  crossref  crossref  mathscinet  isi  elib
    14. Kanel-Belov A., Yu J.-T., Elishev A., “On the Augmentation Topology of Automorphism Groups of Affine Spaces and Algebras”, Int. J. Algebr. Comput., 28:8, SI (2018), 1449–1485  crossref  isi
    15. Marat Gizatullin, “Two examples of affine homogeneous varieties”, European Journal of Mathematics, 4:3 (2018), 1035  crossref
    16. Kovalenko S. Perepechko A. Zaidenberg M., “On Automorphism Groups of Affine Surfaces”, Algebraic Varieties and Automorphism Groups, Advanced Studies in Pure Mathematics, 75, ed. Masuda K. Kishimoto T. Kojima H. Miyanishi M. Zaidenberg M., Math Soc Japan, 2017, 207–286  isi
    17. Trans. Moscow Math. Soc., 78 (2017), 171–186  mathnet  crossref  elib
    18. Kraft H., Russell P., “Families of Group Actions, Generic Isotriviality, and Linearization”, Transform. Groups, 19:3 (2014), 779–792  crossref  mathscinet  zmath  isi  scopus
    19. Vladimir Lin, Mikhail Zaidenberg, Springer Proceedings in Mathematics & Statistics, 79, Automorphisms in Birational and Affine Geometry, 2014, 431  crossref
    20. Ronen Peretz, “On the Structure of the Semigroup of Entire Étale Mappings”, Complex Anal. Oper. Theory, 2013  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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