Small Elliptic Quantum Group eτ,γ(slN) V.Tarasov ⋆

  title={Small Elliptic Quantum Group eτ,γ(slN) V.Tarasov ⋆},
  author={A. Varchenko},
  • A. Varchenko
  • Published 2000
The small elliptic quantum group e τ,γ (sl N) , introduced in the paper, is an elliptic dy-namical analogue of the universal enveloping algebra U (sl N). We define highest weight modules, Verma modules and contragradient modules over e τ,γ (sl N) , the dynamical Shapovalov form for e τ,γ (sl N) and the contravariant form for highest weight e τ,γ (sl N)-modules. We show that any finite-dimensional sl N-module and any Verma module over sl N can be lifted to the corresponding 

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Showing 1-9 of 9 references

Algebras connected with the Z n elliptic solution of the YangBaxter equation

H. Wei
J . Math . Phys . • 1999

Quantum ” deformations of irreducible finite - dimensional representations of gl N

E. Buffenoir
Soviet Math . Dokl . • 1998

Solutions of elliptic qKZB equations and Bethe ansatz I

V. Tarasov, A. Varchenko
Amer . Math . Soc . Transl . , Ser . • 1997

Geometry of qhypergeometric functions , quantum affine algebras and elliptic quantum groups

A. Varchenko
Astérisque • 1983

On representations of the quantum group E τ , η ( sl 2 )

G. Felder, A. Varchenko
Comm . Math . Phys .

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