A Homotopy in the Usual Cochain Complex of Free Lie Algebras |
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| Authors: | Alexandros Patsourakos |
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| Institution: | (1) Department of Mathematics, Zografou Campus, National Technical University, Gr op15780, Athens, Greece |
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| Abstract: | In this Letter, we construct a natural contracting homotopy in the usual cochain complex of free Lie algebras. As a consequence, we prove that the triple cohomology of Lie algebras coincides with a slightly different form of the standard cohomology theory. |
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| Keywords: | contracting homotopy cochain complex Lie algebras cohomology theory |
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