Comultiplication in ABCD algebra and scalar products of Bethe wave functions
نویسندگان
چکیده
منابع مشابه
Comultiplication in ABCD algebra and scalar products of Bethe wave functions
The representation of scalar products of Bethe wave functions in terms of the Dual Fields, proven by A.G.Izergin and V.E.Korepin in 1987, plays an important role in the theory of completely integrable models. The proof in [7] and [8] is based on the explicit expression for the " senior " coefficient which was guessed in [7] and then proven to satisfy some recurrent relations, which determine it...
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Bethe Subalgebras in Hecke Algebra and Gaudin Models Bethe Subalgebras in Hecke Algebra and Gaudin Models
The generating function for elements of the Bethe subalgebra of Hecke algebra is constructed as Sklyanin's transfer-matrix operator for Hecke chain. We show that in a special classical limit q → 1 the Hamiltonians of the Gaudin model can be derived from the transfer-matrix operator of Hecke chain. We consruct a non-local analogue of the Gaudin Hamiltonians for the case of Hecke algebras.
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Let and be Banach algebras, , and . We define an -product on which is a strongly splitting extension of by . We show that these products form a large class of Banach algebras which contains all module extensions and triangular Banach algebras. Then we consider spectrum, Arens regularity, amenability and weak amenability of these products.
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ژورنال
عنوان ژورنال: Physics Letters B
سال: 1994
ISSN: 0370-2693
DOI: 10.1016/0370-2693(94)90084-1