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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2012, Volume 12, Issue 1, Pages 8–15
DOI: https://doi.org/10.18500/1816-9791-2012-12-1-8-15 (Mi isu274) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Mathematics

Cohomology of Lie algebra of vector fields on $S_1/Z_2$

E. Yu. Volokitina

Saratov State University, Chair of Geometry
Full-text PDF (167 kB) Citations (2)
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DOI: https://doi.org/10.18500/1816-9791-2012-12-1-8-15
Abstract: In the present paper we calculate the diagonal cohomology of Lie algebra of vector fields on $S_1/Z_2$ with coefficients in the space of smooth functions and 1-forms, one-dimensional and two-dimensional cohomology with coefficients in $\mathbb R$.
Key words: orbifold, Lie algebra, cohomology.
Bibliographic databases:
Document Type: Article
UDC: 514.7
Language: Russian
Citation: E. Yu. Volokitina, “Cohomology of Lie algebra of vector fields on $S_1/Z_2$”, Izv. Saratov Univ. Math. Mech. Inform., 12:1 (2012), 8–15
Citation in format AMSBIB
\Bibitem{Vol12}
\by E.~Yu.~Volokitina
\paper Cohomology of Lie algebra of vector fields on $S_1/Z_2$
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2012
\vol 12
\issue 1
\pages 8--15
\mathnet{http://mi.mathnet.ru/isu274}
\crossref{https://doi.org/10.18500/1816-9791-2012-12-1-8-15}
\elib{https://elibrary.ru/item.asp?id=17574789}
Linking options:
  • https://www.mathnet.ru/eng/isu274
  • https://www.mathnet.ru/eng/isu/v12/i1/p8
    • This publication is cited in the following 2 articles:
    1. A. Zuevsky, “Schottky cohomology for rank two bosonic vertex operator algebra”, Rev. Math. Phys., 36:07 (2024)  crossref
    2. E. Yu. Volokitina, “Kogomologii algebry Li vektornykh polei nekotorogo odnomernogo orbifolda”, Izv. Sarat. un-ta. Nov. ser. Ser.: Matematika. Mekhanika. Informatika, 13:3 (2013), 14–28  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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    Full-text PDF :114
    References:64
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