Iterative Construction of Uq(sℓ(n+1)) Representations and Lax Matrix Factorisation View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2008-09

AUTHORS

S. E. Derkachov, D. R. Karakhanyan, R. Kirschner, P. Valinevich

ABSTRACT

The iterative construction of a generic representation of gℓ(n + 1) or of the trigonomentric deformation of its enveloping algebra is conveniently formulated in terms of Lax matrices. The Lax matrix of the constructed representation factorises into parts determined by the Lax matrix of a generic representation of the algebra with reduced rank and others appearing in the factorised expression of the Lax matrix of the special Jordan–Schwinger representation. More... »

PAGES

221-234

References to SciGraph publications

  • 1982. Quantum spectral transform method recent developments in INTEGRABLE QUANTUM FIELD THEORIES
  • 1981-09. Yang-Baxter equation and representation theory: I in LETTERS IN MATHEMATICAL PHYSICS
  • 1997. Quantum Groups and Their Representations in NONE
  • 1994-01. Heisenberg realization for Uq(sln) on the flag manifold in LETTERS IN MATHEMATICAL PHYSICS
  • 1985-07. Aq-difference analogue of U(g) and the Yang-Baxter equation in LETTERS IN MATHEMATICAL PHYSICS
  • 1992-06. An extension of the Borel-Weil construction to the quantum groupUq(n) in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1986-04. A q-analogue of U(g[(N+1)), Hecke algebra, and the Yang-Baxter equation in LETTERS IN MATHEMATICAL PHYSICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s11005-008-0268-1

    DOI

    http://dx.doi.org/10.1007/s11005-008-0268-1

    DIMENSIONS

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