Murphy elements from the double-row transfer matrix

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3 Citations (Scopus)

Abstract

We 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.
Original languageEnglish
Article numberL03003
JournalJournal of Statistical Mechanics: Theory and Experiment
Volume2009
DOIs
Publication statusPublished - Mar 2009

Keywords

  • math-ph
  • hep-th
  • math.MP
  • nlin.SI

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