On deformations and contractions of Lie algebras.
Fialowski, Alice, de Montigny, Marc (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Displaying similar documents to “Comtrans algebras and their physical applications”
On deformations and contractions of Lie algebras.
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Braided modules and reflection equations
Dimitri Gurevich (1997)
Banach Center Publications
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We introduce a representation theory of q-Lie algebras defined earlier in [DG1], [DG2], formulated in terms of braided modules. We also discuss other ways to define Lie algebra-like objects related to quantum groups, in particular, those based on the so-called reflection equations. We also investigate the truncated tensor product of braided modules.
Malcev h*-algebras.
M. Cabrera, J. Martínez Moreno, A. Rodríguez (1986)
Extracta Mathematicae
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Enveloping algebras of Malcev algebras
Murray R. Bremner, Irvin R. Hentzel, Luiz A. Peresi, Marina V. Tvalavadze, Hamid Usefi (2010)
Commentationes Mathematicae Universitatis Carolinae
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We first discuss the construction by Pérez-Izquierdo and Shestakov of universal nonassociative enveloping algebras of Malcev algebras. We then describe recent results on explicit structure constants for the universal enveloping algebras (both nonassociative and alternative) of the 4-dimensional solvable Malcev algebra and the 5-dimensional nilpotent Malcev algebra. We include a proof (due to Shestakov) that the universal alternative enveloping algebra of the real 7-dimensional simple...