The algebra A~,η(ĝ) and Hopf family of algebras
نویسنده
چکیده
New deformed affine algebras A~,η(ĝ) are defined for any simply-laced classical Lie algebra g, which are generalizations of the algebra A~,η(ŝl2) recently proposed by Khoroshkin, Lebedev and Pakuliak. The structure of the associated Hopf family of algebras is specified and bosonic representations for A~,η(ĝ) at all positive integer levels are obtained. For the special case of g = slr+1, (r + 1)-dimensional evaluation representation is given. The corresponding intertwining operators are defined and the intertwining relations are also derived explicitly.
منابع مشابه
The algebra A~,η(ĝ) and Infinite Hopf family of algebras
New deformed affine algebras A~,η(ĝ) are defined for any simply-laced classical Lie algebra g, which are generalizations of the algebra A~,η(ŝl2) recently proposed by Khoroshkin, Lebedev and Pakuliak (KLP). Unlike the work of KLP, we associate to the new algebras the structure of an infinite Hopf family of algebras in contrast to the one containing only finite number of algebras introduced by K...
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تاریخ انتشار 1997