On the Y555 complex reflection group

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dc.creatorAllcock, Daniel
dc.date2008-02-08
dc.date.accessioned2026-07-07T09:19:32Z
dc.date.available2026-07-07T09:19:32Z
dc.descriptionWe give a computer-free proof of a theorem of Basak, describing the group generated by 16 complex reflections of order 3, satisfying the braid and commutation relations of the Y555 diagram. The group is the full isometry group of a certain lattice of signature (13,1) over the Eisenstein integers Z[cube root of 1]. Along the way we enumerate the cusps of this lattice and classify the root and Niemeier lattices over this ring.
dc.description16 pages; submitted
dc.identifierhttps://arxiv.org/abs/0802.1082
dc.identifierhttp://arxiv.org/abs/0802.1082
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154427
dc.subjectGroup Theory
dc.subject22E40; 20F55
dc.titleOn the Y555 complex reflection group
dc.typetext

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