AI 中文总结
该研究针对局部紧量子群的近似表示，证明紧且可和的离散量子群具有表示稳定性，还得到一般可和局部紧量子群的酉压缩也满足类似稳定性的结论。
AI 中文摘要
我们研究局部紧量子群的近似表示，并在此语境下证明乌拉姆意义上的稳定性结果。主要结果是紧且可和的离散量子群具有表示稳定性，还证明一般可和局部紧量子群的酉压缩在无紧性或离散性假设时，也成立类似的稳定性结果。
英文摘要
We study approximate representations of locally compact quantum groups and prove stability results in the sense of Ulam in this context. Our main result is that compact and amenable discrete quantum groups are representation stable. We also show that an analogous stability result holds for unitary compressions of general amenable locally compact quantum groups without the assumption of compactness or discreteness.
Comments21 pages. Some typos corrected
