CEU Electronic Theses and Dissertations, 2012
| Author | Wachs, Johannes |
|---|---|
| Title | The Geometry and Algebra of Spherical Spaces |
| Summary | Spherical spaces are geometric spaces with special algebraic properties. They arise as quotients of Lie groups and are defined in terms of representation theory. They generalize the well-studied and highly applicable symmetric spaces and on the other hand form a subclass of the very general homogeneous spaces. This thesis introduces spherical spaces to the reader and focuses on an example closely related to the complex Grassmannian. By performing Lie algebra calculations and computing some topological invariants of this space, the thesis introduces several topics involving spherical spaces, and provides examples of the nuances of the theory. The thesis concludes with an appendix surveying other equivalent definitions of spherical spaces; where they come from, how they are related, and why. |
| Supervisor | Szőke, Róbert |
| Department | Mathematics MSc |
| Full text | https://www.etd.ceu.edu/2012/wachs_johannes.pdf |
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