Hom-quantum groups III: Representations and module Hom-algebras
Quantum Algebra
2009-12-01 v1 Mathematical Physics
math.MP
Rings and Algebras
Abstract
We study Hom-quantum groups, their representations, and module Hom-algebras. Two Twisting Principles for Hom-type algebras are formulated, and construction results are proved following these Twisting Principles. Examples include Hom-quantum n-spaces, Hom-quantum enveloping algebras of Kac-Moody algebras, Hom-Verma modules, and Hom-type analogs of U_q(sl_2)-module-algebra structures on the quantum planes.
Cite
@article{arxiv.0911.5402,
title = {Hom-quantum groups III: Representations and module Hom-algebras},
author = {Donald Yau},
journal= {arXiv preprint arXiv:0911.5402},
year = {2009}
}
Comments
35 pages