Publications de l'Institut Mathématique, Nouvelle SérieVol. 94(108), pp. 99–109 (2013)
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Publications de l'Institut Mathématique, Nouvelle Série Vol. 94(108), pp. 99–109 (2013) |
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$C_{\infty}$-STRUCTURE ON THE COHOMOLOGY OF THE FREE 2-NILPOTENT LIE ALGEBRAMichel Dubois-Violette, Todor PopovLaboratoire de Physique Theorique, UMR 8627, Universite Paris XI, Batiment 210, F-91 405 Orsay Cedex, France; Theoretical Physics Division, Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Sofia, BulgariaAbstract: We consider the free 2-step nilpotent Lie algebra and its cohomology ring. The homotopy transfer induces a homotopy commutative algebra on its cohomology ring which we describe. We show that this cohomology is generated in degree 1 as $C_\infty$-algebra only by the induced binary and ternary operations. Classification (MSC2000): 17B35; 17B56; 18G10; 17D98 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 8 Nov 2013. This page was last modified: 22 Nov 2013.
© 2013 Mathematical Institute of the Serbian Academy of Science and Arts
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