Quantization of cohomology in semi-simple Lie algebras.
Milson, R., Richter, D. (1998)
Journal of Lie Theory
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Milson, R., Richter, D. (1998)
Journal of Lie Theory
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Benayed, Miloud (1997)
Journal of Lie Theory
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Skryabin, Serge (2004)
Lobachevskii Journal of Mathematics
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Helmut Strade, Jörg Feldvoss (1992)
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José Adolfo de Azcárraga, José Manuel Izquierdo, Juan Carlos Pérez Bueno (2001)
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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.
Malakhaltsev, M.A. (1999)
Lobachevskii Journal of Mathematics
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Junxia Zhu, Liangyun Chen (2021)
Czechoslovak Mathematical Journal
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We study Hom-Lie superalgebras of Heisenberg type. For 3-dimensional Heisenberg Hom-Lie superalgebras we describe their Hom-Lie super structures, compute the cohomology spaces and characterize their infinitesimal deformations.
Kenneth A. Brown, Thierry Levasseur (1985)
Mathematische Zeitschrift
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Jerry M. Lodder (1998)
Annales de l'institut Fourier
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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.
Marius Crainic, Ieke Moerdijk (2008)
Journal of the European Mathematical Society
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We introduce a new cohomology for Lie algebroids, and prove that it provides a differential graded Lie algebra which “controls” deformations of the structure bracket of the algebroid.
Jan Kubarski (1995)
Publications du Département de mathématiques (Lyon)
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Bodo Pareigis (1968)
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Kim, Yunhyong (2004)
Journal of Lie Theory
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Kjeseth, Lars (2001)
Homology, Homotopy and Applications
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