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Article overview
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Infinite Hopf family of elliptic algebras and bosonization | Bo-Yu Hou
; Liu Zhao
; Xiang-Mao Ding
; | Date: |
13 Dec 1997 | Subject: | Quantum Algebra | math.QA | 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. | Source: | arXiv, math.QA/9801062 | Services: | Forum | Review | PDF | Favorites |
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