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Article Dans Une Revue Journal of Generalized Lie Theory and Applications Année : 2008

Classical elliptic current algebras. I

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Résumé

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 totwo 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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Dates et versions

hal-03054030 , version 1 (11-12-2020)

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Stanislav Pakuliak, Vladimir Roubtsov, Alexey Silantyev. Classical elliptic current algebras. I. Journal of Generalized Lie Theory and Applications, 2008, 2 (2), pp.65 - 78. ⟨10.4172/1736-4337.1000116⟩. ⟨hal-03054030⟩
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