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复流形的广义Loop群、其上的Gauss拟不变测度及其表示

Generalized Loop Groups of Complex Manifolds, Gaussian Quasi-Invariant Measures on them and their Representations

S. V. Ludkovsky

摘要:

研究了复流形M到另一复流形N的保标记点$s_0\in M$和$y_0\in N$的映射族--环群G.构造了G上关于稠密子群$G'$的拟不变测度$μ$.这些措施是用于研究的不可约表示,这样的群体。

英文摘要:

Loop groups G as families of mappings of the complex manifold M into another complex manifold N preserving marked points $s_0\in M$ and $y_0\in N$ are investigated. Quasi-invariant measures $μ$ on G relative to dense subgroups $G'$ are constructed. These measures are used for the studying of irreducible representations of such groups.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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