"Construction of interpolation symmetric functions from q-Hahn integrable models."

Sergei Korotkikh
University of California, Berkeley (UC Berkeley)

"A decade ago Povolotsky has introduced a type of integrable models which are governed by so-called q-Hahn weights. In my talk I will explain a new interpretation of these models which comes from representations of quantum loop sl2 algebra. Using this new interpretation I will show how to construct a new family of symmetric functions which generalize Macdonald functions with t=0, satisfy a version of the Cauchy identity and which satisfy a certain interpolation property."


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