English

Generalized $q$-boson algebras and their integrable modules

Quantum Algebra 2009-03-23 v2

Abstract

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

Keywords

Cite

@article{arxiv.0812.4495,
  title  = {Generalized $q$-boson algebras and their integrable modules},
  author = {Akira Masuoka},
  journal= {arXiv preprint arXiv:0812.4495},
  year   = {2009}
}

Comments

18 pages

R2 v1 2026-06-21T11:55:30.914Z