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arXiv · 1608.02900

On deformed double current algebras for simple Lie algebras

Nicolas Guay·Yaping Yang
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Abstract

We prove the equivalence of two presentations of deformed double current algebras associated to a complex simple Lie algebra, the first one obtained via a degeneration of affine Yangians while the other one naturally appeared in the construction of the elliptic Casimir connection. We also construct a specific central element of these algebras and, in type A, show that they contain a very large center for certain values of their parameters.

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Nicolas Guay, Yaping Yang. 2016-08-09. On deformed double current algebras for simple Lie algebras. https://arxiv.org/abs/1608.02900

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