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Funktsional'nyi Analiz i ego Prilozheniya, 1980, Volume 14, Issue 3, Pages 45–60 (Mi faa1830)  

This article is cited in 55 scientific papers (total in 55 papers)

Homology of the Lie algebra of vector fields on the line

B. L. Feigin, D. B. Fuchs
References:
Received: 19.03.1980
English version:
Functional Analysis and Its Applications, 1980, Volume 14, Issue 3, Pages 201–212
DOI: https://doi.org/10.1007/BF01086182
Bibliographic databases:
Document Type: Article
UDC: 513.836
Language: Russian
Citation: B. L. Feigin, D. B. Fuchs, “Homology of the Lie algebra of vector fields on the line”, Funktsional. Anal. i Prilozhen., 14:3 (1980), 45–60; Funct. Anal. Appl., 14:3 (1980), 201–212
Citation in format AMSBIB
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\paper Homology of the Lie algebra of vector fields on the line
\jour Funktsional. Anal. i Prilozhen.
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\pages 45--60
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\transl
\jour Funct. Anal. Appl.
\yr 1980
\vol 14
\issue 3
\pages 201--212
\crossref{https://doi.org/10.1007/BF01086182}
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Linking options:
  • https://www.mathnet.ru/eng/faa1830
  • https://www.mathnet.ru/eng/faa/v14/i3/p45
  • This publication is cited in the following 55 articles:
    1. Shoulan Gao, Dong Liu, Yufeng Pei, “1-Cocycles of the Witt algebra with coefficients in tensor product of modules”, Journal of Algebra, 658 (2024), 486  crossref
    2. Charles H. Conley, William Goode, “An approach to annihilators in the context of vector field Lie algebras”, Expositiones Mathematicae, 2024, 125600  crossref
    3. Boujemaâ Agrebaoui, Imed Basdouri, Maha Boujelben, “The second cohomology spaces of 𝒦(1) with coefficients in the superspace of weighted densities and deformations of the superspace of symbols on S 1|1”, Georgian Mathematical Journal, 30:3 (2023), 321  crossref
    4. P. ETINGOF, D. KALINOV, E. RAINS, “NEW REALIZATIONS OF DEFORMED DOUBLE CURRENT ALGEBRAS AND DELIGNE CATEGORIES”, Transformation Groups, 28:1 (2023), 185  crossref
    5. Rim Messaoud, “Second cohomology of the Lie superalgebra of contact vector fields on weighted densities on the superspace K1|n”, Journal of Geometry and Physics, 175 (2022), 104478  crossref
    6. M. Boujelben, “First Cohomology Space of the Orthosymplectic Lie Superalgebra osp(n|2) in the Lie Superalgebra of Superpseudodifferential Operators”, Ukr Math J, 74:6 (2022), 871  crossref
    7. M. Boujelben, “First cohomology space of the orthosymplectic Lie superalgebra
      o s p
      ( n | 2 )
      in the Lie superalgebra of superpseudodifferential operators”, Ukr. Mat. Zhurn., 74:6 (2022), 761  crossref
    8. Dimitar Grantcharov, Vera Serganova, “Simple weight modules with finite weight multiplicities over the Lie algebra of polynomial vector fields”, Journal für die reine und angewandte Mathematik (Crelles Journal), 2022:792 (2022), 93  crossref
    9. Mabrouk Ben Ammar, Rabeb Sidaoui, “Cohomology of sl(2) acting on the space of n-ary differential operators on R”, Indian J Pure Appl Math, 52:4 (2021), 1263  crossref
    10. Imed Basdouri, Mabrouk Ben Ammar, Nizar Ben Fraj, Maha Boujelbene, Kaouthar Kamoun, “Cohomology of the Lie Superalgebra of Contact Vector Fields on 𝕂1|1 and Deformations of the Superspace of Symbols”, JNMP, 16:4 (2021), 373  crossref
    11. Mabrouk Ben Ammar, Maha Boujelben, Amina Jabeur, Rabeb Sidaoui, “Cohomology of 𝔞𝔣𝔣(1|1) acting on the space of n-ary linear differential operators on S1|1”, J. Algebra Appl., 19:02 (2020), 2050028  crossref
    12. Issam Bartouli, Ammar Derbali, Mohamed Elkhames Chraygui, Jean Lerbet, “Cohomology of V ect(R) acting on the space of bilinear differential operators”, Journal of Geometry and Physics, 138 (2019), 317  crossref
    13. “Annihilators of Bounded Indecomposable Modules of Vec(R)”, 2019  crossref
    14. Dmitry Millionshchikov, Springer Proceedings in Mathematics & Statistics, 273, Recent Developments in Integrable Systems and Related Topics of Mathematical Physics, 2018, 154  crossref
    15. Khaled Basdouri, Salem Omri, “Cohomology and deformation of 𝔞𝔣𝔣(1|1) acting on differential operators”, Int. J. Geom. Methods Mod. Phys., 15:05 (2018), 1850072  crossref
    16. Khaled Basdouri, Salem Omri, Wissal Swilah, “The binary aff(n|1)-invariant differential operators on weighted densities on the superspace R1|n and aff(n|1)-relative cohomology”, Journal of Geometry and Physics, 123 (2018), 235  crossref
    17. Kathlyn Dykes, “Length two extensions of modules for the Witt algebra”, Communications in Algebra, 46:5 (2018), 2146  crossref
    18. “Uniserial Representations of Vec(R) with a Single Casimir Eigenvalue”, 2018  crossref
    19. “Non-Resonant Uniserial Representations of Vec(R)”, 2018  crossref
    20. Andrew Cavaness, Dimitar Grantcharov, “Bounded weight modules of the Lie algebra of vector fields on ℂ2”, J. Algebra Appl., 16:12 (2017), 1750236  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Функциональный анализ и его приложения Functional Analysis and Its Applications
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