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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, Number 4, Pages 33–48 (Mi ivm9347)  
This article is cited in 3 scientific papers (total in 3 papers)

Foundations of a theory of dual Lie algebras

V. V. Gorbatsevich

Moscow Aviation Institute (National Research University), 3 Orshanskaya str., Moscow, 121552 Russia
Full-text PDF (238 kB) Citations (3)
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Abstract: In this paper we introduce and study dual Lie algebras—Lie algebras over algebra of dual numbers. We prove some fundamental properties of such Lie algebras and track their parallels with properties of usual real and complex Lie algebras. We discuss some results about classification of dual Lie algebra of small dimension and specify connection with the approximate Lie algebras.
Keywords: Lie algebra, algebra of dual numbers, dual Lie algebra, approximate Lie algebra.
Received: 09.02.2017
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2018, Volume 62, Issue 4, Pages 29–41
DOI: https://doi.org/10.3103/S1066369X18040047
Bibliographic databases:
Document Type: Article
UDC: 512.554
Language: Russian
Citation: V. V. Gorbatsevich, “Foundations of a theory of dual Lie algebras”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 4, 33–48; Russian Math. (Iz. VUZ), 62:4 (2018), 29–41
Citation in format AMSBIB
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\pages 29--41
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    References:46
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