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arXiv 0711.3553math.QAmath.RT
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双量化在李学中的应用

Applications de la bi-quantification à la théorie de Lie

Charles Torossian

摘要:

本文综述了双量子化理论在李理论中的应用。本文重点讨论了M.迪弗洛大多数应用程序来自我们与Alberto Cattaneo的文章,一些扩展与我的学生讨论有关。文章的结尾是全新的。证明了猜想E=1蕴涵Kashiwara-Vergne猜想。我们的变形是非几何的,但是使用系数的多项式变形。

英文摘要:

This article is a survey about applications of bi-quantization theory in Lie theory. We focus on a conjecture of M. Duflo. Most of the applications are coming from our article with Alberto Cattaneo and some extensions are relating discussions with my student. The end of the article is completely new. We prove that the conjecture E=1 implies the Kashiwara-Vergne conjecture. Our deformation is non geometric but uses a polynomial deformation of the coefficients.

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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