Generalized $q$-boson algebras and their integrable modules

Details Generalized $q$-boson algebras and their integrable modules Generalized $q$-boson algebras and their integrable modules

2008-12-24

arxiv.org/abs/0812.4495v2

Mathematics

Quantum Algebra

18 pages

Scientific paper

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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