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Resolutions of Associative and Lie Algebras

Published online by Cambridge University Press:  20 November 2018

Ron Adin  and
David Blanc
Ron Adin
Affiliation:
Department of Mathematics and Computer Science Bar Ilan University Ramat Gan 52900 Israel, email: radin@macs.biu.ac.il
David Blanc
Affiliation:
Department of Mathematics University of Haifa Haifa 31905 Israel, email: blanc@mathcs2.haifa.ac.il
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Abstract

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Certain canonical resolutions are described for free associative and free Lie algebras in the category of non-associative algebras. These resolutions derive in both cases from geometric objects, which in turn reflect the combinatorics of suitable collections of leaf-labeled trees.

Keywords

18G1005C0516S1017B0117A5018G50resolutionshomologyLie algebrasassociative algebrasnon-associative algebrasJacobi identityleaf-labeled treesassociahedron
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 43 , Issue 1 , 01 March 2000 , pp. 3 - 16
Copyright
Copyright © Canadian Mathematical Society 2000

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