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Matematicheskie Zametki, 1997, Volume 62, Issue 1, Pages 95–102
DOI: https://doi.org/10.4213/mzm1591 (Mi mzm1591) 		 
This article is cited in 17 scientific papers (total in 17 papers)

Varieties of affine Kac–Moody algebras

M. V. Zaicev

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (188 kB) Citations (17)
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DOI: https://doi.org/10.4213/mzm1591
Abstract: In this paper the identities of the complex affine Kac–Moody algebras are studied. It is proved that the identities of twisted affine algebras coincide with those of the corresponding nontwisted algebras. Moreover, in the class of nontwisted affine Kac–Moody algebras, each of these algebras is uniquely defined by its identities. It is shown that the varieties of affine algebras, as well as the varieties defined by finitely generated three-step solvable Lie algebras, have exponential growth.
Received: 21.04.1995
English version:
Mathematical Notes, 1997, Volume 62, Issue 1, Pages 80–86
DOI: https://doi.org/10.1007/BF02356067
Bibliographic databases:
UDC: 512.8
Language: Russian
Citation: M. V. Zaicev, “Varieties of affine Kac–Moody algebras”, Mat. Zametki, 62:1 (1997), 95–102; Math. Notes, 62:1 (1997), 80–86
Citation in format AMSBIB
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\pages 95--102
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    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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