Quasigraded Lie algebras and modified Toda field equations.
Skrypnyk, Taras V. (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Displaying similar documents to “On deformations and contractions of Lie algebras.”
Quasigraded Lie algebras and modified Toda field equations.
Characteristically nilpotent Lie Algebras: a survey.
José M. Ancochea, Rutwig Campoamor (2001)
Extracta Mathematicae
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Defining relations for classical Lie superalgebras without Cartan matrices.
Grozman, P., Leites, D., Poletaeva, E. (2002)
Homology, Homotopy and Applications
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On -filiform Lie algebras. I.
Campoamor Stursberg, O.R. (2002)
Acta Mathematica Universitatis Comenianae. New Series
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A Leibniz algebra structure on the second tensor power.
Kurdiani, R., Pirashvili, T. (2002)
Journal of Lie Theory
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Fine gradings of low-rank complex Lie algebras and of their real forms.
Svobodová, Milena (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Application of the Gel'fand matrix method to the missing label problem in classical kinematical Lie algebras.
Campoamor-Stursberg, Rutwig (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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An obstruction to represent abelian Lie algebras by unipotent matrices.
J. C. Benjumea, F. J. Echarte, Núñez, J.,Tenorio, A. F. (2004)
Extracta Mathematicae
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The aim of this paper is the study of abelian Lie algebras as subalgebras of the nilpotent Lie algebra gn associated with Lie groups of upper-triangular square matrices whose main diagonal is formed by 1. We also give an obstruction to obtain the abelian Lie algebra of dimension one unit less than the corresponding to gn as a Lie subalgebra of gn. Moreover, we give a procedure to obtain abelian Lie subalgebras of gn up to the dimension which we think it is the maximum.
The variety of Lie bialgebras.
Ciccoli, Nicola, Guerra, Lucio (2003)
Journal of Lie Theory
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Noncommutative root space Witt, Ricci flow, and Poisson bracket continual Lie algebras.
Zuevsky, Alexander (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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About a family of naturally graded no p-filiform Lie algebras.
L. M. Camacho, J. R. Gómez, A. J. González (2005)
Extracta Mathematicae
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The knowledge of the natural graded algebras of a given class of Lie algebras offers essential information about the structure of the class. So far, the classification of naturally graded Lie algebras is only known for some families of p-filiform Lie algebras. In certain sense, if g is a naturally graded Lie algebra of dimension n, the first case of no p-filiform Lie algebras it happens when the characteristic sequence is (n-3,2,1). We present the classification of a particular family...
Comtrans algebras and their physical applications
Jonathan Smith (1993)
Banach Center Publications
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