On the wonderful compactification
Sam Evens, Benjamin F Jones
TL;DR
This paper explains the construction and properties of the wonderful compactification of complex semisimple groups, providing foundational insights and extending to symmetric spaces.
Contribution
It offers a detailed exposition of the wonderful compactification and extends the theory to semisimple symmetric spaces.
Findings
Provides a comprehensive construction of the wonderful compactification.
Extends the theory to symmetric spaces.
Highlights basic properties and applications.
Abstract
These lecture notes explain the construction and basic properties of the wonderful compactification of a complex semisimple group of adjoint type. An appendix discusses the more general case of a semisimple symmetric space.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology