Degenerations of nilpotent Lie algebras.
Burde, Dietrich (1999)
Journal of Lie Theory
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Burde, Dietrich (1999)
Journal of Lie Theory
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Jan de Ruiter (1972)
Compositio Mathematica
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Bahturin, Yuri (2012)
Serdica Mathematical Journal
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2010 Mathematics Subject Classification: Primary 16W50, 17B70; Secondary 16R10. The main result is the classification, up to isomorphism, of all gradings by arbitrary abelian groups on the finitely generated algebras that are free in a nilpotent variety of algebras over an algebraically closed field of characteristic zero. The research was supported by an NSERC Discovery Grant #227060-09
Christophoridou, Ch., Kobotis, A. (1999)
Balkan Journal of Geometry and its Applications (BJGA)
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Ralph K. Amayo (1972)
Compositio Mathematica
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David Alexander, Jean Ludwig (2004)
Studia Mathematica
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We first study the behavior of weights on a simply connected nilpotent Lie group G. Then for a subalgebra A of L¹(G) containing the Schwartz algebra 𝓢(G) as a dense subspace, we characterize all closed two-sided ideals of A whose hull reduces to one point which is a character.
C. Miers (1987)
Studia Mathematica
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I. N. Stewart (1970)
Compositio Mathematica
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Schneider, Csaba (2005)
Experimental Mathematics
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Tenorio, Á.F. (2008)
Acta Mathematica Universitatis Comenianae. New Series
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C.B. Hallahan, J. Overbeck (1970)
Mathematische Zeitschrift
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K.K. Abdurasulov, A.Kh. Khudoyberdiyev, M. Ladra, A.M. Sattarov (2021)
Communications in Mathematics
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In this paper we give the description of some non-strongly nilpotent Leibniz algebras. We pay our attention to the subclass of nilpotent Leibniz algebras, which is called filiform. Note that the set of filiform Leibniz algebras of fixed dimension can be decomposed into three disjoint families. We describe the pre-derivations of filiform Leibniz algebras for the first and second families and determine those algebras in the first two classes of filiform Leibniz algebras that are non-strongly...
Cabezas, J.M., Gómez, J.R. (2001)
Journal of Lie Theory
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Caldero, Philippe (1994)
Beiträge zur Algebra und Geometrie
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