Open AccessClassical elliptic current algebras. I
Author(s) -
S. Pakuliak,
Vladimir Rubtsov
Publication year - 2012
Publication title -
journal of generalized lie theory and applications
Language(s) - English
Resource type - Journals
eISSN - 1736-5279
pISSN - 1736-4337
DOI - 10.4172/1736-4337.1000116
Subject(s) - mathematics , current (fluid) , pure mathematics , algebra over a field , current algebra , commutative property , elliptic function , elliptic curve , mathematical analysis , physics , thermodynamics
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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