Polyhedral Realizations of Crystal Bases and Braid-type Isomorphisms

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dc.creatorNakashima, Toshiki
dc.date1999-06-15
dc.date.accessioned2026-07-07T05:29:31Z
dc.date.available2026-07-07T05:29:31Z
dc.descriptionWe review the polyhedral realizations of crystal bases in the former half and in the latter half, we introduce braid-type isomorphisms for some rank 2 finite type crystals. Using this isomorphisms, for semi-simple Lie algebra we can show that polyhedral realizations can be obtained in the lattice of finite rank which coincides with the length of the longest element in the associated Weyl group.
dc.descriptionLaTeX(2e), 19 pages
dc.identifierhttps://arxiv.org/abs/math/9906100
dc.identifierhttp://arxiv.org/abs/math/9906100
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78668
dc.subjectQuantum Algebra
dc.subjectCombinatorics
dc.subjectRepresentation Theory
dc.titlePolyhedral Realizations of Crystal Bases and Braid-type Isomorphisms
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