On the algebra A_{\hbar,η}(osp(2|2)^{(2)}) and free boson representations

Details On the algebra A_{\hbar,η}(osp(2|2)^{(2)}) and free boson representations On the algebra A_{\hbar,η}(osp(2|2)^{(2)}) and free boson representations

2000-10-05

arxiv.org/abs/math/0010050v1

Mathematics

Quantum Algebra

14 pages, LaTeX

Scientific paper

10.1088/0305-4470/34/32/311

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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