Structurable triples, Lie triples, and symmetric spaces.
John R. Faulkner (1994)
Forum mathematicum
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Displaying similar documents to “Symmetric algebras and Yang-Baxter equation”
Structurable triples, Lie triples, and symmetric spaces.
The construction of 3-Lie 2-algebras
Chunyue Wang, Qingcheng Zhang (2018)
Czechoslovak Mathematical Journal
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We construct a 3-Lie 2-algebra from a 3-Leibniz algebra and a Rota-Baxter 3-Lie algebra. Moreover, we give some examples of 3-Leibniz algebras.
Computing with Rational Symmetric Functions and Applications to Invariant Theory and PI-algebras
Benanti, Francesca, Boumova, Silvia, Drensky, Vesselin, K. Genov, Georgi, Koev, Plamen (2012)
Serdica Mathematical Journal
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2010 Mathematics Subject Classification: 05A15, 05E05, 05E10, 13A50, 15A72, 16R10, 16R30, 20G05 Let K be a field of any characteristic. Let the formal power series f(x1, ..., xd) = ∑ αnx1^n1 ··· xd^nd = ∑ m(λ)Sλ(x1, ..., xd), αn, m(λ) ∈ K, be a symmetric function decomposed as a series of Schur functions. When f is a rational function whose denominator is a product of binomials of the form 1−x1^a1 ··· xd^ad, we use a classical combinatorial method of Elliott of 1903 further...
Supersymmetry algebras: extensions of orthgonal Lie algebras
Hasiewicz, Zbigniew
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Bialgebra structures on a real semisimple Lie algebra.
Chloup, Véronique (1995)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Computations in finite-dimensional Lie algebras.
Cohen, A.M., de Graaf, W.A., Rónyai, L. (1997)
Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]
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Classification of solvable Lie algebras.
de Graaf, W.A. (2005)
Experimental Mathematics
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Nondegenerate invariant bilinear forms on nonassociative algebras.
Bordemann, M. (1997)
Acta Mathematica Universitatis Comenianae. New Series
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Drinfeld-Sokolov hierarchies on truncated current Lie algebras
Paolo Casati (2011)
Banach Center Publications
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In this paper we construct on truncated current Lie algebras integrable hierarchies of partial differential equations, which generalize the Drinfeld-Sokolov hierarchies defined on Kac-Moody Lie algebras.