Special polynomials in free framed Lie algebra

• Autores: A. V. Gavriliov
• Localización: Algebra and logic, ISSN 0002-5232, Vol. 47, Nº. 5, 2008, págs. 321-329
• Idioma: inglés
• DOI: 10.1007/s10469-008-9027-8
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• Resumen

  • 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.