Extremal loop weight modules and tensor products for quantum toroidal algebras

@inproceedings{Mansuy2013ExtremalLW,
  title={Extremal loop weight modules and tensor products for quantum toroidal algebras},
  author={Mathieu Mansuy},
  year={2013}
}
  • Mathieu Mansuy
  • Published 2013
  • Mathematics
  • We define integrable representations of quantum toroidal algebras of type A by tensor product, using the Drinfeld "coproduct". This allow us to recover the vector representations recently introduced by Feigin-Jimbo-Miwa-Mukhin [6] and constructed by the author [21] as a subfamily of extremal loop weight modules. In addition we get new extremal loop weight modules as subquotients of tensor powers of vector representations. As an application we obtain finite-dimensional representations of quantum… CONTINUE READING

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