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arXiv · 0812.4495

Generalized $q$-boson algebras and their integrable modules

Akira Masuoka
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Abstract

We define the generalized $q$-boson algebra $ \cmdB$ associated to a pair of Nichols algebras and a skew pairing. We study integrable $ \cmdB$-modules, generalizing results by M. Kashiwara and T. Nakashima on integrable modules over a $q$-boson (Kashiwara) algebra.

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Akira Masuoka. 2009-03-23. Generalized $q$-boson algebras and their integrable modules. https://arxiv.org/abs/0812.4495

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