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
• DOI: 10.1006/jabr.2000.8285

✦ Synopsis

Let ᒄ be a Lie algebra over a field of characteristic zero equipped with a vector space decomposition ᒄ s ᒄ y [ ᒄ q , and let s and t be commuting formal variables y ww xx q ww xx commuting with ᒄ. We prove that the map C: sᒄ s, t = t ᒄ s, t ª y ww xx q ww xx sᒄ s, t [ t ᒄ s, t defined by the Campbell᎐Baker᎐Hausdorff formula and s g y t g q C Ž s g y , t g q .