A homotopy Lie-Rinehart resolution and classical BRST cohomology.
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A non-abelian tensor product of Leibniz algebra
Allahtan Victor Gnedbaye (1999)
Annales de l'institut Fourier
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 us to...
A note on groups with torsion-free abelianization and trivial multiplicator.
Ralph Strebel (1979)
Commentarii mathematici Helvetici
An Algebraic Construction of a Class of Representations of a Semi-Simple Lie Algebra.
R. Parthasarathy (1977)
Mathematische Annalen
Arrangements of hyperplanes and Lie algebra homology.
A.N. Varchenko, Vadim V. Schechtman (1991)
Inventiones mathematicae
Asymptotics of Matrix Coefficients, Perverse Sheaves and Jacquet Modules.
Luis G. Casian (1986)
Mathematische Annalen
Bernstein-Gelfand-Gelfand resolution for arbitrary Kac-Moody algebras.
Shrawan Kumar (1990)
Mathematische Annalen
BGG diagrams for contact graded odd dimensional orthogonal geometries
Svatopluk Krýsl (2004)
Acta Universitatis Carolinae. Mathematica et Physica
BGG resolutions via configuration spaces
Michael Falk, Vadim Schechtman, Alexander Varchenko (2014)
Journal de l’École polytechnique — Mathématiques
We study the blow-ups of configuration spaces. These spaces have a structure of what we call an Orlik–Solomon manifold; it allows us to compute the intersection cohomology of certain flat connections with logarithmic singularities using some Aomoto type complexes of logarithmic forms. Using this construction we realize geometrically the Bernstein–Gelfand–Gelfand resolution as an Aomoto complex.
Categories of nonstandard highest weight modules for affine Lie algebras.
B. Cox, V. Futorny, D. Melville (1996)
Mathematische Zeitschrift
Characters of Irreducible Representations of the Lie Algebra of Vector Fields on the Circle.
N.R. Wallach, Rocha-Caridi, A. (1983)
Inventiones mathematicae
Coherent Pairs of Extensions of Lie Algebras.
N. Ramabhadran (1966)
Mathematische Zeitschrift
Cohomologie des algèbres de Lie nilpotentes. Application à l'étude de la variété des algèbres de Lie nilpotentes
Michele Vergne (1970)
Bulletin de la Société Mathématique de France
Cohomologies d'algèbres de Lie de champs de vecteurs formels
Claude Godbillon (1972/1973)
Séminaire Bourbaki
Cohomology of Bimodules Over Enveloping Algebras.
Kenneth A. Brown, Thierry Levasseur (1985)
Mathematische Zeitschrift
Cohomology of some nilpotent Lie algebras.
L. M. Camacho, J. R. Gómez, R. M. Navarro (2000)
Extracta Mathematicae
Colored partitions and a generalization of the braid arrangement.
Welker, Volkmar (1997)
The Electronic Journal of Combinatorics [electronic only]
Cuadrados especiales en la categoría de álgebras de Lie.
Daniel Tarazona (1982)
Stochastica
In this paper the concepts of mixed cartesian square and quasi-cocartesian square, already known in the category of groups, are adapted to the category of Lie algebras. These concepts can be used in the study of the obstructions of Lie algebra extensions in the same way that Wu has studied the obstructions of group extensions.
Déformations cobordales des algèbres de Lie et relativisation de la symétrie interne
V. D. Liakhovski (1972)
Annales de l'I.H.P. Physique théorique
Déformations des algèbres de Lie locales et analogue du théorème d'algébricité de Carles.
Rupert W.T. Yu (1995)
Mathematische Annalen
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