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Sbornik: Mathematics, 2008, Volume 199, Issue 5, Pages 655–662
DOI: https://doi.org/10.1070/SM2008v199n05ABEH003937 (Mi sm3888) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Lower bounds for algebraic complexity of classical simple Lie algebras

A. V. Leont'ev

Program Systems Institute of RAS
English version PDF (223 kB) Citations (2)
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DOI: https://doi.org/10.1070/SM2008v199n05ABEH003937
Abstract: Exact algebraic algorithms for classical simple Lie algebras over fields of characteristic zero are considered. The complexity of an algebra in this computational model is defined as the number of (non-scalar) multiplications of an optimal algorithm (calculating the product of two elements of the algebra). Lower bounds for the algebraic complexity are obtained for algebras in the series $A_l$, $B_l$, $C_l$ and $D_l$.
Bibliography: 3 titles.
Received: 25.05.2007
Russian version:
Matematicheskii Sbornik, 2008, Volume 199, Number 5, Pages 27–34
DOI: https://doi.org/10.4213/sm3888
Bibliographic databases:
UDC: 512.554.3
MSC: Primary 17B20; Secondary 68C25
Language: English
Original paper language: Russian
Citation: A. V. Leont'ev, “Lower bounds for algebraic complexity of classical simple Lie algebras”, Mat. Sb., 199:5 (2008), 27–34; Sb. Math., 199:5 (2008), 655–662
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник Sbornik: Mathematics
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    Abstract page:451
    Russian version PDF:201
    English version PDF:4
    References:66
    First page:14
     
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