The Lie derivative and cohomology of -structures.
Malakhaltsev, M.A. (1999)
Lobachevskii Journal of Mathematics
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Malakhaltsev, M.A. (1999)
Lobachevskii Journal of Mathematics
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Simon Covez (2013)
Annales de l’institut Fourier
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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...
José Adolfo de Azcárraga, José Manuel Izquierdo, Juan Carlos Pérez Bueno (2001)
RACSAM
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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.
Nariya Kawazumi (1993)
Annales de l'institut Fourier
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The continuous cohomology theory of the Lie algebra of complex analytic vector fields on an open Riemann surface is studied. We show that the cohomology group with coefficients in the -module of germs of complex analytic tensor fields on the product space decomposes into the global part derived from the homology of and the local part coming from the coefficients.
Milson, R., Richter, D. (1998)
Journal of Lie Theory
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Benayed, Miloud (1997)
Journal of Lie Theory
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Deena Al-Kadi (2010)
Colloquium Mathematicae
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We study the second Hochschild cohomology group of the preprojective algebra of type D₄ over an algebraically closed field K of characteristic 2. We also calculate the second Hochschild cohomology group of a non-standard algebra which arises as a socle deformation of this preprojective algebra and so show that the two algebras are not derived equivalent. This answers a question raised by Holm and Skowroński.
Jacek Brodzki, Graham A. Niblo, Nick J. Wright (2012)
Journal of the European Mathematical Society
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We give a new perspective on the homological characterizations of amenability given by Johnson & Ringrose in the context of bounded cohomology and by Block & Weinberger in the context of uniformly finite homology. We examine the interaction between their theories and explain the relationship between these characterizations. We apply these ideas to give a new proof of non-vanishing for the bounded cohomology of a free group.
Feigin, B. L., Tsygan, B. L.
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