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  • Articles: DFG German National Licenses  (2)
  • 1995-1999  (2)
  • 1990-1994
  • Yangian  (1)
  • finite-dimensional representations.  (1)
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  • Articles: DFG German National Licenses  (2)
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  • 1995-1999  (2)
  • 1990-1994
Year
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  • 1
    Electronic Resource
    Electronic Resource
    Classical Limit of the Scaled Elliptic Algebra $$\mathcal{A}$$ ħ,η ( $$\widetilde{\mathfrak{s}\mathfrak{l}}_2$$ ) (1999)
    Springer
    Compositio mathematica 115 (1999), S. 185-204 
    Details
    ISSN: 1570-5846
    Keywords: quantum elliptic algebra ; distributions ; bialgebra ; finite-dimensional representations.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The classical limit of the scaled elliptic algebra $$\mathcal{A}$$ ħ,η ( $$\widetilde{\mathfrak{s}\mathfrak{l}}_2$$ ) is investigated. The limiting Lie algebra is described in two equivalent ways: as a central extension of the algebra of generalized automorphic sl2 valued functions on a strip and as an extended algebra of decreasing automorphic sl2 valued functions on the real line. A bialgebra structure and an infinite-dimensional representation in the Fock space are studied. The classical limit of elliptic algebra $$\mathcal{A}$$ q,p ( $$\widetilde{\mathfrak{s}\mathfrak{l}}_2$$ ) is also briefly presented.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1000645909064
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Traces of Intertwining Operators for the Yangian Double (1997)
    Springer
    Letters in mathematical physics 41 (1997), S. 31-47 
    Details
    ISSN: 1573-0530
    Keywords: Yangian ; intertwining operators ; form-factor
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract The traces over infinite-dimensional representations of the central extended Yangian double for the product of operators which intertwine these representations are calculated. For the special combinations of the intertwining operators, the traces are identified with form factors of local operators in the SU(2)-invariant Thirring model. This identification is based on the identities which are deformed analogs of the Gauss–Manin connection identities for the hyperelliptic curves.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1007372113466
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    Paper (German National Licenses)
    Fulltext
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