Homology of Lie algebras with coefficients and exact sequences.
Khmaladze, Emzar (2002)
Theory and Applications of Categories [electronic only]
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Displaying similar documents to “Non-abelian tensor product of Lie algebras and its derived functors.”
Homology of Lie algebras with coefficients and exact sequences.
A Note on Strong Lie Derived Length of Group Algebras
Francesco Catino, Ernesto Spinelli (2007)
Bollettino dell'Unione Matematica Italiana
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For a group algebra KG of a non-abelian group G over a field K of positive characteristic p we study the strong Lie derived length of the associated Lie algebra.
Deformation of Lie algebras and Lie algebras of deformations
Harald Bjar, Olav Arnfinn Laudal (1990)
Compositio Mathematica
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On Leibniz homology
Teimuraz Pirashvili (1994)
Annales de l'institut Fourier
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We describe a spectral sequence for computing Leibniz cohomology for Lie algebras.
Abelian complex structures on solvable Lie algebras.
Barberis, M.L., Dotti, I. (2004)
Journal of Lie Theory
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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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Formal de Rham theory: irreducible representations of finite simple Lie pseudoalgebras
Alessandro D'Andrea (2004)
Bollettino dell'Unione Matematica Italiana
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In this communication, I recall the main results [BDK1] in the classification of finite Lie pseudoalgebras, which generalize several previously known algebraic structures, and announce some new results [BDK2] concerning their representation theory.
A non-abelian tensor product of Leibniz algebra
Allahtan Victor Gnedbaye (1999)
Annales de l'institut Fourier
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Leibniz algebras are a non-commutative version of usual Lie algebras. We introduce a notion of (pre)crossed Leibniz algebra which is a simultaneous generalization of notions of representation and two-sided ideal of a Leibniz algebra. We construct the Leibniz algebra of biderivations on crossed Leibniz algebras and we define a non-abelian tensor product of Leibniz algebras. These two notions are adjoint to each other. A (co)homological characterization of these new algebraic objects enables...