Extremal Projectors of q-Boson Algebras
Toshiki Nakashima
Abstract
We define the extremal projector of the q-boson Kashiwara algebra Bq() and study their basic properties. Applying their proerties to the representation theory of the category O(Bq()), whose objects are ''upper bounded '' Bq()-modules, we obtain its semi-simplicity and the classification of simple modules.
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