量子仿射空间、齐次化量子Weyl代数与量子矩阵代数的同构问题
量子代数
2018-05-16 v2 环与代数
摘要
Bell与Zhang已证明，若和是两个在1次生成的有限生成连通分次代数，且作为非分次代数同构，则它们作为分次代数同构。我们利用此结果解决量子仿射空间、量子矩阵代数与齐次多参数量子Weyl代数的同构问题。我们的结果涉及确定1次正规元，模去，然后重复。这创建了一个允许确定相对参数间关系的迭代过程。
引用
@article{arxiv.1605.08711,
title = {The isomorphism problem for quantum affine spaces, homogenized quantized Weyl algebras, and quantum matrix algebras},
author = {Jason Gaddis},
journal= {arXiv preprint arXiv:1605.08711},
year = {2018}
}
备注
Clarifications and corrections throughout. Section 5 has been reorganized with a new proof for Lemma 5.4. To appear in Journal of Pure and Applied Algebra