A link between two elliptic quantum groups

Details A link between two elliptic quantum groups A link between two elliptic quantum groups

1998-01-23

arxiv.org/abs/math/9801108v1

Mathematics

Quantum Algebra

12 pages, Latex

Scientific paper

We construct a fully faithful functor from the category C_F of finite-dimensional representations of Felder's (dynamical) elliptic quantum group E_{tau,gamma}(gl(n)) to a cretain category D_B of (infinite-dimensional) representations of Belavin's quantum elliptic algebra B by difference operators, and a fully faithful functor from the category C_B of finite-dimensional representations of B to D_B. As a corollary, we show that the abelian subcategories of C_B and C_F generated by tensor products of vector representations are equivalent.

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