Cladistics of Double Yangians and Elliptic Algebras

Details Cladistics of Double Yangians and Elliptic Algebras Cladistics of Double Yangians and Elliptic Algebras

1999-06-28

arxiv.org/abs/math/9906189v2

J.Phys.A33:6279,2000

Mathematics

Quantum Algebra

42 pages, one Postscript figure; important reference added; some misprints corrected; definition of cladistics added

Scientific paper

10.1088/0305-4470/33/36/302

A self-contained description of algebraic structures, obtained by combinations of various limit procedures applied to vertex and face sl(2) elliptic quantum affine algebras, is given. New double Yangians structures of dynamical type are in particular defined. Connections between these structures are established. A number of them take the form of twist-like actions. These are conjectured to be evaluations of universal twists.

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