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Extremal Projectors of q-Boson Algebras

Quantum Algebra 2007-05-23 v1 Representation Theory

Abstract

We define the extremal projector of the qq-boson Kashiwara algebra Bq()B_q(\ge) and study their basic properties. Applying their proerties to the representation theory of the category O(Bq()){\cal O}(B_q(\ge)), whose objects are ''upper bounded '' Bq()B_q(\ge)-modules, we obtain its semi-simplicity and the classification of simple modules.

Keywords

Cite

@article{arxiv.math/0206243,
  title  = {Extremal Projectors of q-Boson Algebras},
  author = {Toshiki Nakashima},
  journal= {arXiv preprint arXiv:math/0206243},
  year   = {2007}
}

Comments

LaTeX, 12 pages