An irreducible component of the variety of Leibniz algebras having trivial intersection with the variety of Lie algebras.

Autor:	Ancochea Bermúdez, J.M., Campoamor-Stursberg, R.
Předmět:	VARIETIES (Universal algebra) INTERSECTION theory LIE algebras GEOMETRIC rigidity IRREDUCIBLE polynomials DIMENSION theory (Algebra)
Zdroj:	Linear & Multilinear Algebra; Nov2014, Vol. 62 Issue 11, p1450-1459, 10p
Abstrakt:	We show the rigidity of a parameterized family of solvable Leibniz non-Lie algebras in arbitrary dimension, obtaining an irreducible component in the varietythat does not intersect the variety of Lie algebras non-trivially. Moreover it is shown that for anythe Abelian Lie algebraappears as the algebra of derivations of a solvable Leibniz algebra. [ABSTRACT FROM PUBLISHER]
Databáze:	Complementary Index
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