Extremal Projectors of q-Boson Algebras

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We define the extremal projector of the $q$-boson Kashiwara algebra $B_q(\ge)$ and study their basic properties. Applying their proerties to the representation theory of the category ${\cal O}(B_q(\ge))$, whose objects are ''upper bounded '' $B_q(\ge)$-modules, we obtain its semi-simplicity and the classification of simple modules.
LaTeX, 12 pages

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Quantum Algebra, Representation Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/64376

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0206243
 http://arxiv.org/abs/math/0206243

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arXiv