Left-Garside categories, self-distributivity, and braids

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dc.creatorDehornoy, Patrick
dc.date2008-10-26
dc.date.accessioned2026-07-07T10:13:19Z
dc.date.available2026-07-07T10:13:19Z
dc.descriptionIn connection with the emerging theory of Garside categories, we develop the notions of a left-Garside category and of a locally left-Garside monoid. In this framework, the connection between the self-distributivity law LD and braids amounts to the result that a certain category associated with LD is a left-Garside category, which projects onto the standard Garside category of braids. This approach leads to a realistic program for establishing the Embedding Conjecture of [Dehornoy, Braids and Self-distributivity, Birkhauser (2000), Chap. IX].
dc.identifierhttps://arxiv.org/abs/0810.4698
dc.identifierhttp://arxiv.org/abs/0810.4698
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172490
dc.subjectGroup Theory
dc.titleLeft-Garside categories, self-distributivity, and braids
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