Quantization of cohomology in semi-simple Lie algebras.
Milson, R., Richter, D. (1998)
Journal of Lie Theory
Similarity:
Milson, R., Richter, D. (1998)
Journal of Lie Theory
Similarity:
Kim, Yunhyong (2004)
Journal of Lie Theory
Similarity:
Jerry M. Lodder (1998)
Annales de l'institut Fourier
Similarity:
We propose a definition of Leibniz cohomology, , for differentiable manifolds. Then becomes a non-commutative version of Gelfand-Fuks cohomology. The calculations of reduce to those of formal vector fields, and can be identified with certain invariants of foliations.
José Adolfo de Azcárraga, José Manuel Izquierdo, Juan Carlos Pérez Bueno (2001)
RACSAM
Similarity:
En esta nota se presenta en primer lugar una introducción autocontenida a la cohomología de álgebras de Lie, y en segundo lugar algunas de sus aplicaciones recientes en matemáticas y física.
Skryabin, Serge (2004)
Lobachevskii Journal of Mathematics
Similarity:
Simon Covez (2013)
Annales de l’institut Fourier
Similarity:
This article gives a local answer to the coquecigrue problem for Leibniz algebras, that is, the problem of finding a generalization of the (Lie) group structure such that Leibniz algebras are the corresponding tangent algebra structure. Using links between Leibniz algebra cohomology and Lie rack cohomology, we generalize the integration of a Lie algebra into a Lie group by proving that every Leibniz algebra is isomorphic to the tangent Leibniz algebra of a local Lie rack. This article...
Helge Maakestad (2005)
Annales de l'institut Fourier
Similarity:
Let be a commutative -algebra where is a ring containing the rationals. We prove the existence of a Chern character for Lie-Rinehart algebras over A with values in the Lie-Rinehart cohomology of L which is independent of choice of a -connection. Our result generalizes the classical Chern character from the -theory of to the algebraic De Rham cohomology.
Yuly Billig, Karl-Hermann Neeb (2008)
Annales de l’institut Fourier
Similarity:
In the present paper we determine for each parallelizable smooth compact manifold the second cohomology spaces of the Lie algebra of smooth vector fields on with values in the module . The case of is of particular interest since the gauge algebra of functions on with values in a finite-dimensional simple Lie algebra has the universal central extension with center , generalizing affine Kac-Moody algebras. The second cohomology classifies twists of the semidirect product...