From quantum loop algebras to Yangians
نویسندگان
چکیده
The main purpose of this note is to give a proof of a statement of V. Drinfeld in [Dr1] regarding Yangians and quantum loop algebras, namely how the former can be constructed as limit forms of the latter. We also apply the same ideas to twisted quantum loop algebras to recover the (non-twisted) Yangians.
منابع مشابه
Twisted Yangians, Twisted Quantum Loop Algebras and Affine Hecke Algebras of Type Bc
We study twisted Yangians of type AIII which have appeared in the literature under the name of reflection algebras. They admit q-versions which are new twisted quantum loop algebras. We explain how these can be defined equivalently either via the reflection equation or as coideal subalgebras of Yangians of gln (resp. of quantum loop algebras of gln). The connection with affine Hecke algebras of...
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ورودعنوان ژورنال:
- J. London Math. Society
دوره 86 شماره
صفحات -
تاریخ انتشار 2012