Vector bundles on elliptic curve and Sklyanin algebras

Mathematics – Quantum Algebra

Scientific paper

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26 pages, plain TeX Submitted by request of the authors; no comments are available

Scientific paper

In [4] we introduce the associative algebras $Q_{n,k}(\CE,\tau)$. Recall the
definition. These algebras are labeled by discrete parameters $n,k$; $n,k$ are
integers $n>k>0$ and $n$ and $k$ have not common divisors. Then, $\CE$ is an
elliptic curve and $\tau$ is a point in $\CE$. We identify $\CE$ with
$\BC/\Gamma$, where $\Gamma$ is a lattice.

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