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Algebra i logika, 2005, Volume 44, Number 2, Pages 131–147 (Mi al97)  
This article is cited in 4 scientific papers (total in 4 papers)

Gröbner–Shirshov Bases for the Lie Algebra

A. N. Koryukin

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (204 kB) Citations (4)
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Abstract: We estimate Gröbner–Shirshov bases for the Lie algebra $A_n$ given arbitrary orders of generators (nodes of a Dynkin graph). Previously, the Gröbner–Shirshov basis was computed in [1] for the particular case where nodes of the Dynkin graph are ordered successively.
Keywords: Lie algebra, Gröbner–Shirshov basis.
Received: 22.03.2004
English version:
Algebra and Logic, 2005, Volume 44, Issue 2, Pages 73–81
DOI: https://doi.org/10.1007/s10469-005-0009-9
Bibliographic databases:
UDC: 512.554.3
Language: Russian
Citation: A. N. Koryukin, “Gröbner–Shirshov Bases for the Lie Algebra”, Algebra Logika, 44:2 (2005), 131–147; Algebra and Logic, 44:2 (2005), 73–81
Citation in format AMSBIB
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\paper Gr\"obner--Shirshov Bases for the Lie Algebra
\jour Algebra Logika
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\pages 131--147
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\transl
\jour Algebra and Logic
\yr 2005
\vol 44
\issue 2
\pages 73--81
\crossref{https://doi.org/10.1007/s10469-005-0009-9}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
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    References:61
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