Hom-bialgebras and comodule Hom-algebras
Rings and Algebras
2010-03-16 v3 Quantum Algebra
Abstract
We study Hom-bialgebras and objects admitting coactions by Hom-bialgebras. In particular, we construct a Hom-bialgebra M representing the functor of 2x2-matrices on Hom-associative algebras. Then we construct a Hom-algebra analogue of the affine plane and show that it is a comodule Hom-algebra over M in a suitable sense. It is also shown that the enveloping Hom-associative algebra of a Hom-Lie algebra is naturally a Hom-bialgebra.
Cite
@article{arxiv.0810.4866,
title = {Hom-bialgebras and comodule Hom-algebras},
author = {Donald Yau},
journal= {arXiv preprint arXiv:0810.4866},
year = {2010}
}
Comments
20 pages. To appear in the International Electronic Journal of Algebra