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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports]
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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2011, Volume 8, Pages 381–396 (Mi semr337)  

This article is cited in 6 scientific papers (total in 6 papers)

Research papers

The second cohomology groups of simple modules for G2

S. S. Ibraev

University "Bolashak", pr. Abaya, 31A, 120000, Kyzylorda, Kazakhstan
Full-text PDF (560 kB) Citations (6)
References:
Abstract: The second cohomology groups for simple, simply connected algebraic group G2 over an algebraically closed field of characteristic p7 with coefficients in the simple finite-dimensional modules are described.
Keywords: algebraic group, cohomology, simple module, Frobenius kernel.
Received January 30, 2011, published December 29, 2011
Document Type: Article
UDC: 512.665.2
MSC: 20G05, 20G10, 20G40
Language: English
Citation: S. S. Ibraev, “The second cohomology groups of simple modules for G2”, Sib. Èlektron. Mat. Izv., 8 (2011), 381–396
Citation in format AMSBIB
\Bibitem{Ibr11}
\by S.~S.~Ibraev
\paper The second cohomology groups of simple modules for $G_2$
\jour Sib. \`Elektron. Mat. Izv.
\yr 2011
\vol 8
\pages 381--396
\mathnet{http://mi.mathnet.ru/semr337}
Linking options:
  • https://www.mathnet.ru/eng/semr337
  • https://www.mathnet.ru/eng/semr/v8/p381
  • This publication is cited in the following 6 articles:
    1. Ibraev Sh.Sh., Kainbaeva L.S., Menlikhozhayeva S.K., “Cohomology of Simple Modules For Algebraic Groups”, Bull. Karaganda Univ-Math., 97:1 (2020), 37–43  crossref  isi
    2. Sh. Sh. Ibraev, “On the Second Cohomology of an Algebraic Group and of Its Lie Algebra in a Positive Characteristic”, Math. Notes, 101:5 (2017), 841–849  mathnet  crossref  crossref  mathscinet  isi  elib
    3. Ibraev Sh.Sh., “On the Cohomology of Simple Restricted Modules For Algebraic Groups”, Bull. Karaganda Univ-Math., 85:1 (2017), 51–56  isi
    4. A. S. Dzhumadil'daev, Sh. Sh. Ibraev, “On the third cohomology of algebraic groups of rank two in positive characteristic”, Sb. Math., 205:3 (2014), 343–386  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    5. Sh. Sh. Ibraev, “On the First Cohomology of an Algebraic Group and Its Lie Algebra in Positive Characteristic”, Math. Notes, 96:4 (2014), 491–498  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    6. Stewart D.I., “The Second Cohomology of Simple Sl3-Modules”, Commun. Algebr., 40:12 (2012), 4702–4716  crossref  mathscinet  zmath  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
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