Extremal Projectors of q-Boson Algebras

الأصل · EN

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.