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An analogue of a reductive algebraic monoid whose unit group is a Kac-Moody group

About this Title

Claus Mokler

Publication: Memoirs of the American Mathematical Society
Publication Year: 2005; Volume 174, Number 823
ISBNs: 978-0-8218-3648-4 (print); 978-1-4704-0424-6 (online)
DOI: https://doi.org/10.1090/memo/0823
MathSciNet review: 2116620
MSC: Primary 17B67; Secondary 22E65

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Table of Contents

Chapters

  • Introduction
  • 1. Preliminaries
  • 2. The monoid $\hat {G}$ and its structure
  • 3. An algebraic geometric setting
  • 4. A generalized Tannaka-Krein reconstruction
  • 5. The proof of $\bar {G} = \hat {G}$ and some other theorems
  • 6. The proof of $\operatorname {Lie}(\bar {G}) \cong \mathbf {g}$