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Factorization of Formal Exponentials and Uniformization

✍ Scribed by Katrina Barron; Yi-Zhi Huang; James Lepowsky


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
204 KB
Volume
228
Category
Article
ISSN
0021-8693

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✦ Synopsis


Let α’„ be a Lie algebra over a field of characteristic zero equipped with a vector space decomposition α’„ s α’„ y [ α’„ q , and let s and t be commuting formal variables y ww xx q ww xx commuting with α’„. We prove that the map C: sα’„ s, t = t α’„ s, t Βͺ y ww xx q ww xx sα’„ s, t [ t α’„ s, t defined by the Campbell᎐Baker᎐Hausdorff formula and s g y t g q C Ε½ s g y , t g q .


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