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Moscow Mathematical Journal, 2006, Volume 6, Number 1, Pages 57–84
DOI: https://doi.org/10.17323/1609-4514-2006-6-1-57-84 (Mi mmj235) 		 
This article is cited in 38 scientific papers (total in 39 papers)

$n$-valued groups: theory and applications

V. M. Buchstaber

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF Citations (39)
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DOI: https://doi.org/10.17323/1609-4514-2006-6-1-57-84
Abstract: We give a survey of the most important results in the theory of $n$-valued groups and some of their applications. Main directions of advanced research will be discussed.
We start with basic definitions. Further exposition follows a sequence of instructive examples originating from various branches of mathematics: algebra, analysis, representation theory, topology, and dynamical systems.
The contents is accessible to a broad audience.
Key words and phrases: Multivalued multiplication and action, hypergroups, deformation of a group, algebraic representations, generalized shift, integrable multivalued dynamical systems.
Received: April 20, 2006
Bibliographic databases:
Document Type: Article
MSC: 20N20, 16S34, 05E30
Language: English
Citation: V. M. Buchstaber, “$n$-valued groups: theory and applications”, Mosc. Math. J., 6:1 (2006), 57–84
Citation in format AMSBIB
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\paper $n$-valued groups: theory and applications
\jour Mosc. Math.~J.
\yr 2006
\vol 6
\issue 1
\pages 57--84
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\zmath{https://zbmath.org/?q=an:1129.20045}
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    • This publication is cited in the following 39 articles:
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