On Hopf algebras and the elimination theorem for free Lie algebras

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dc.creatorLepowsky, J.
dc.creatorWilson, R. L.
dc.date1995-05-18
dc.date.accessioned2026-07-07T09:16:34Z
dc.date.available2026-07-07T09:16:34Z
dc.descriptionThe elimination theorem for free Lie algebras, a general principle which describes the structure of a free Lie algebra in terms of free Lie subalgebras, has been recently used by E. Jurisich to prove that R. Borcherds' ``Monster Lie algebra'' has certain large free Lie subalgebras, illuminating part of Borcherds' proof that the moonshine module vertex operator algebra obeys the Conway-Norton conjectures. In the present expository note, we explain how the elimination theorem has a very simple and natural generalization to, and formulation in terms of, Hopf algebras. This fact already follows from general results contained in unpublished 1972 work, unknown to us when we wrote this note, of R. Block and P. Leroux.
dc.descriptionLaTeX file. 13 pages. To appear in ``Moonshine, the Monster and Related Topics,'' Proc. Joint Summer Research Conference, Mount Holyoke, 1994, Contemporary Math
dc.identifierhttps://arxiv.org/abs/q-alg/9505022
dc.identifierhttp://arxiv.org/abs/q-alg/9505022
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153397
dc.subjectQuantum Algebra
dc.titleOn Hopf algebras and the elimination theorem for free Lie algebras
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