# The Drinfeld realization of the elliptic quantum group Bq,λ(A2(2))

@article{Kojima2004TheDR,
title={The Drinfeld realization of the elliptic quantum group Bq,$\lambda$(A2(2))},
author={Takeo Kojima and Hitoshi Konno},
journal={Journal of Mathematical Physics},
year={2004},
volume={45},
pages={3146-3179}
}
• Published 7 January 2004
• Mathematics
• Journal of Mathematical Physics
We construct a realization of the L-operator satisfying the RLL-relation of the face-type elliptic quantum group Bq,λ(A2(2)). The construction is based on the elliptic analog of the Drinfeld currents of Uq(A2(2)), which forms the elliptic algebra Uq,p(A2(2)). We give a realization of the elliptic currents E(z), F(z), and K(z) as a tensor product of the Drinfeld currents of Uq(A2(2)) and a Heisenberg algebra. In the level-one representation, we also give a free field realization of the elliptic…
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