Some new parallels between groups and Lie algebras, or what can be simpler than multiplication table? (Q1995242)

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scientific article; zbMATH DE number 7314409
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Some new parallels between groups and Lie algebras, or what can be simpler than multiplication table?
scientific article; zbMATH DE number 7314409

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    Some new parallels between groups and Lie algebras, or what can be simpler than multiplication table? (English)
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    23 February 2021
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    The author provides a nice survey of recent developments in the study of equations in groups and Lie algebras and related local-global invariants, focusing on parallels between the two algebraic structures I recommend to the reader also to have a look to related surveys [\textit{N. L. Gordeev} et al., Russ. Math. Surv. 73, No. 5, 753--796 (2018; Zbl 1442.20028); translation from Usp. Mat. Nauk 73, No. 5, 3--52 (2018)], and also [\textit{A. Kanel-Belov} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 071, 61 p. (2020; Zbl 1459.16012)].
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    word map
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    image of Lie polynomial
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    simple algebraic group
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    Ore conjecture
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    commutator width
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