Journal of Generalized Lie Theory and Applications

ISSN: 1736-4337

Open Access

Classical elliptic current algebras. I


Stanislav PAKULIAK , Vladimir RUBTSOV , and Alexey SILANTYEV

In this paper we discuss classical elliptic current algebras and show that there are two different choices of commutative test function algebras related to a complex torus leading to two different elliptic current algebras. Quantization of these classical current algebras gives rise to two classes of quantized dynamical quasi-Hopf current algebras studied by Enriquez, Felder and Rubtsov and by Arnaudon, Buffenoir, Ragoucy, Roche, Jimbo, Konno, Odake and Shiraishi.


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