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International Conference dedicated to the 60-th birthday of Boris Feigin "Representation Theory and applications to Combinatorics, Geometry and Quantum Physics"
15 декабря 2013 г. 10:00–10:50, г. Москва, Независимый московский университет
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From Yangians to quantum loop algebras via abelian difference equations
V. Toledano Laredo |
Количество просмотров: |
Эта страница: | 132 | Видеофайлы: | 51 |
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Аннотация:
The finite-dimensional representations of the Yangian $Y_h(g)$ and quantum loop algebra $U_q(Lg)$ of a complex, semisimple Lie algebra have long been known to share many similar features. Assuming that $q$ is not a root of unity, I will explain how to construct an equivalence of categories between finite-dimensional representations of $U_q(Lg)$ and
an explicit subcategory of finite-dimensional representations of $Y_h(g)$. This equivalence is governed by the monodromy of an additive, abelian difference equation, and can be upgraded to a meromorphic tensor equivalence.
This is joint work with Sachin Gautam, and is based on: arXiv: 1310.7318 and arXiv: 1012.3687.
Язык доклада: английский
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