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Algebra i logika, 2008, Volume 47, Number 5, Pages 571–583 (Mi al376)  
This article is cited in 1 scientific paper (total in 1 paper)

Special polynomials in free framed Lie algebra

A. V. Gavrilov

Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences
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Abstract: A framed Lie algebra is an algebra with two operations which is a Lie algebra with respect to one of these operations. A basic example is a Lie algebra of vector fields on a manifold with connection where the covariant derivative serves as an additional operation. In a free framed Lie algebra, we distinguish a set of special polynomials that geometrically correspond to invariantly defined tensors. A necessary condition of being special is derived, and we presume that this condition is also sufficient.
Keywords: nonassociative algebra, Lie algebra, affine connection.
Received: 25.12.2006
English version:
Algebra and Logic, 2008, Volume 47, Issue 5, Pages 321–329
DOI: https://doi.org/10.1007/s10469-008-9027-8
Bibliographic databases:
UDC: 514.764.3+512.554
Language: Russian
Citation: A. V. Gavrilov, “Special polynomials in free framed Lie algebra”, Algebra Logika, 47:5 (2008), 571–583; Algebra and Logic, 47:5 (2008), 321–329
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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