QUANTUM EXTREMAL LOOP WEIGHT MODULES AND MONOMIAL CRYSTALS

@inproceedings{Mansuy2014QUANTUMEL,
  title={QUANTUM EXTREMAL LOOP WEIGHT MODULES AND MONOMIAL CRYSTALS},
  author={Mathieu Mansuy},
  year={2014}
}
  • Mathieu Mansuy
  • Published 2014
  • Mathematics
  • In this paper we construct a new family of representations for the quantum toroidal algebra Uq.sl torC1 /, which are ‘-extremal in the sense of Hernandez. We construct extremal loop weight modules associated to level 0 fundamental weights $‘ when n D 2r C 1 is odd and ‘ D 1, rC1 or n. To do this, we relate monomial realizations of level 0 extremal fundamental weight crystals to integrable representations of Uq.sl torC1 /, and we introduce promotion operators for the level 0 extremal fundamental… CONTINUE READING

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