【摘要】：Poisson幾何是Hamilton力學(xué)及辛流形緊化自然的研究框架.本文介紹了一類與Lie理論有關(guān)的Poisson流形.這類Poisson流形的構(gòu)造來(lái)自于量子群,并與分次擴(kuò)張Poisson代數(shù)有著緊密的聯(lián)系.
[Abstract]:Poisson geometry is the research framework of Hamilton mechanics and compaction nature of symplectic manifold. In this paper, we introduce a class of Poisson manifolds related to Lie theory. The construction of these Poisson manifolds is derived from quantum groups and is closely related to graded extended Poisson algebras.
【作者單位】： 香港大學(xué)數(shù)學(xué)系;
【基金】：香港研究資助局(批準(zhǔn)號(hào):GRF HKU 17304415)資助項(xiàng)目
【分類號(hào)】：O152.5
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本文編號(hào)：2320658