Infinite Hopf family of elliptic algebras and bosonization

Details Infinite Hopf family of elliptic algebras and bosonization Infinite Hopf family of elliptic algebras and bosonization

1998-01-13

arxiv.org/abs/math/9801062v4

Mathematics

Quantum Algebra

LaTeX, 11 pages. This is the new and final version

Scientific paper

10.1088/0305-4470/32/10/012

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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