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  • American Institute of Physics (AIP)  (2)
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  • 1
    Electronic Resource
    Electronic Resource
    Commuting difference operators arising from the elliptic C2(1)-face model (1999)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 40 (1999), S. 4549-4568 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: We study a pair of commuting difference operators arising from the elliptic C2(1)-face model. The operators, whose coefficients are expressed in terms of the Jacobi's elliptic theta function, act on the space of meromorphic functions on the weight space of the C2-type simple Lie algebra. We show that the space of functions spanned by the level one characters of the affine Lie algebra sp&dbgcaret;(4,C) is invariant under the action of the difference operators. © 1999 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.532986
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    L-operator for Belavin's R-matrix acting on the space of theta functions (1994)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 35 (1994), S. 6158-6171 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: For the Z/nZ symmetric elliptic R matrix, L operators which act on the space of A(1)n−1 integrable characters, or the affine Weyl group invariants, of the fixed level l, are constructed. For l=1, the matrix elements of the L operator and those of the R matrix are shown to be the same.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.530735
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    Paper (German National Licenses)
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