Multi-parameter Quantum Groups via Quantum Quasi-Symmetric Algebras
Quantum Algebra
2013-07-05 v1 Representation Theory
Abstract
It is proved that the entire multi-parameter (small-)quantum groups of symmetrizable Kac-Moody algebras can be realized as certain subquotients of the cotensor Hopf algebras. This is an axiomatic construction. Hopf 2-cocycle deformations variation for the construction machinery is described, moreover, the integrable irreducible modules can be constructed using this setting, even available for those in the fundamental alcove at root of unity case.
Keywords
Cite
@article{arxiv.1307.1381,
title = {Multi-parameter Quantum Groups via Quantum Quasi-Symmetric Algebras},
author = {Yunnan Li and Naihong Hu and Marc Rosso},
journal= {arXiv preprint arXiv:1307.1381},
year = {2013}
}
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24 pages