On the algebra A,η(osp(2|2)(2)) and free boson representations
Abstract
A two-parameter quantum deformation of the affine Lie super algebra osp(2|2)(2) is introduced and studied in some detail. This algebra is the first example associated with nonsimply-laced and twisted root systems of a quantum current algebra with the structure of a so-called infinite Hopf family of (super)algebras. A representation of this algebra at c=1 is realized in the product Fock space of two commuting sets of Heisenberg algebras.
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