A. K. Tolpygo, “Cohomologies of parabolic Lie algebras”, Mat. Zametki, 12:3 (1972), 251–255; Math. Notes, 12:3 (1972), 585

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Matematicheskie Zametki, 1972, Volume 12, Issue 3, Pages 251–255 (Mi mzm9875)

This article is cited in 11 scientific papers (total in 11 papers)

Cohomologies of parabolic Lie algebras

A. K. Tolpygo

M. V. Lomonosov Moscow State University

Full-text PDF (568 kB) Citations (11)

Abstract: If

$\mathfrak{p}$ is a parabolic subalgebra of a semisimple algebra, the cohomology of

$\mathfrak{p}$ is trivial in the associated representation.

Received: 28.04.1970

English version:
Mathematical Notes, 1972, Volume 12, Issue 3, Pages 585–587
DOI: https://doi.org/10.1007/BF01093989

Bibliographic databases:

Document Type: Article

UDC: 512.4

Language: Russian

Citation: A. K. Tolpygo, “Cohomologies of parabolic Lie algebras”, Mat. Zametki, 12:3 (1972), 251–255; Math. Notes, 12:3 (1972), 585–587

Citation in format AMSBIB

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\by A.~K.~Tolpygo

\paper Cohomologies of parabolic Lie algebras

\jour Mat. Zametki

\yr 1972

\vol 12

\issue 3

\pages 251--255

\mathnet{http://mi.mathnet.ru/mzm9875}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=325720}

\zmath{https://zbmath.org/?q=an:0248.18029}

\transl

\jour Math. Notes

\yr 1972

\vol 12

\issue 3

\pages 585--587

\crossref{https://doi.org/10.1007/BF01093989}

Linking options:

https://www.mathnet.ru/eng/mzm9875

https://www.mathnet.ru/eng/mzm/v12/i3/p251

This publication is cited in the following 11 articles:

Dietrich Burde, Friedrich Wagemann, “Sympathetic Lie algebras and adjoint cohomology for Lie algebras”, Journal of Algebra, 629 (2023), 381
Giorgi Rakviashvili, “Low dimensional cohomologies of biparabolic subalgebras”, Adv. Studies: Euro-Tbilisi Math. J., 15:4 (2022)
V. V. Gorbatsevich, “Some properties of almost abelian Lie algebras”, Russian Math. (Iz. VUZ), 64:4 (2020), 21–34
Rutwig Campoamor-Stursberg, Francisco Oviaño García, “Some Features of Rank One Real Solvable Cohomologically Rigid Lie Algebras with a Nilradical Contracting onto the Model Filiform Lie Algebra Qn”, Axioms, 8:1 (2019), 10
F. M. Malyshev, “Bazisy rekurrentnykh posledovatelnostei”, Chebyshevskii sb., 16:2 (2015), 155–185
Zhengxin CHEN, “Generalized derivations on parabolic subalgebras of general linear Lie algebras”, Acta Mathematica Scientia, 34:3 (2014), 814
Zhengxin Chen, Zhankui Xiao, “Nonlinear Lie triple derivations on parabolic subalgebras of finite-dimensional simple Lie algebras”, Linear and Multilinear Algebra, 60:6 (2012), 645
Dengyin Wang, Xiaoxiang Yu, Zhengxin Chen, “Biderivations of the Parabolic Subalgebras of Simple Lie Algebras”, Communications in Algebra, 39:11 (2011), 4097
Dengyin Wang, Xiaoxiang Yu, “Lie triple derivations on the parabolic subalgebras of simple Lie algebras”, Linear and Multilinear Algebra, 59:8 (2011), 837
George F. Leger, Eugene M. Luks, “Generalized Derivations of Lie Algebras”, Journal of Algebra, 228:1 (2000), 165
Yu. B. Khakimdzhanov, “O kogomologiyakh parabolicheskikh podalgebr poluprostykh algebr Li”, UMN, 32:6(198) (1977), 237–238

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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