Isomorphisms of some quantum spaces
Quantum Algebra
2018-08-30 v2 Rings and Algebras
Abstract
We consider a series of questions that grew out of determining when two quantum planes are isomorphic. In particular, we consider a similar question for quantum matrix algebras and certain ambiskew polynomial rings. Additionally, we modify a result by Alev and Dumas to show that two quantum Weyl algebras are isomorphic if and only if their parameters are equal or inverses of each other.
Cite
@article{arxiv.1210.8413,
title = {Isomorphisms of some quantum spaces},
author = {Jason Gaddis},
journal= {arXiv preprint arXiv:1210.8413},
year = {2018}
}
Comments
To appear in the the proceedings of the 31st Ohio State-Denison conference (Contemp. Math.). We include a supplementary appendix with a result on isomorphisms of quantum affine spaces