Murphy elements from the double-row transfer matrix

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dc.creatorDoikou, Anastasia
dc.date2008-12-04
dc.date2009-03-10
dc.date.accessioned2026-07-07T12:52:15Z
dc.date.available2026-07-07T12:52:15Z
dc.descriptionWe consider the double-row (open) transfer matrix constructed from generic tensor-type representations of various types of Hecke algebras. For different choices of boundary conditions for the relevant integrable lattice model we express the double-row transfer matrix solely in terms of generators of the corresponding Hecke algebra (tensor-type realizations). We then expand the open transfer matrix and extract the associated Murphy elements from the first/last terms of the expansion. Suitable combinations of the Murphy elements as has been shown commute with the corresponding Hecke algebra.
dc.description12 pages, Latex. Clarifications and references added. To appear in JSTAT
dc.identifierhttps://arxiv.org/abs/0812.0898
dc.identifierhttp://arxiv.org/abs/0812.0898
dc.identifierJ. Stat. Mech. (2009) L03003
dc.identifierdoi:10.1088/1742-5468/2009/03/L03003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223239
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectExactly Solvable and Integrable Systems
dc.titleMurphy elements from the double-row transfer matrix
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