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Infinite Hopf family of elliptic algebras and bosonization

Bo-Yu Hou·Liu Zhao·Xiang-Mao Ding
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Abstract

Elliptic current algebras E_{q,p}(\hat{g}) for arbitrary simply laced finite dimensional Lie algebra g are defined and their co-algebraic structures are studied. It is shown that under the Drinfeld like comultiplications, the algebra E_{q,p}(\hat{g}) is not co-closed for any g. However putting the algebras E_{q,p}(\hat{g}) with different deformation parameters together, we can establish a structure of infinite Hopf family of algebras. The level 1 bosonic realization for the algebra E_{q,p}(\hat{g}) is also established.

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Bo-Yu Hou, Liu Zhao, Xiang-Mao Ding. 1998-04-05. Infinite Hopf family of elliptic algebras and bosonization. https://doi.org/10.1088/0305-4470%2F32%2F10%2F012

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