簇代数中的泊松理想与量子化坐标环的谱
量子代数
2012-11-01 v2 数学物理
math.MP
摘要
我们描述了具有相容泊松结构的簇代数的泊松理想及其伴随的辛几何。我们将这些结果应用于确定量子簇代数的谱。作为一个应用，我们描述了量子化坐标环（如量子矩阵和一般线性群的量子化函数代数）谱上的拓扑。
引用
@article{arxiv.1107.2760,
title = {Poisson Ideals in Cluster Algebras and the Spectra of Quantized Coordinate Rings},
author = {Sebastian Zwicknagl},
journal= {arXiv preprint arXiv:1107.2760},
year = {2012}
}
备注
The proof of the main theorem is incomplete, and the paper has been replaced with two more specific papers "Cluster Algebras, Symplectic Leaves and Quantum Groups" at arXiv:1210.5825 and "Poisson and quantum geometry of acyclic cluster algebras " at arXiv:1210.5824