**Homogeneous Spaces and Equivariant Embeddings**

by Dmitri A. Timashev

**Publisher**: arXiv 2006**Number of pages**: 250

**Description**:

This is a monograph on homogeneous spaces of algebraic groups and their equivariant embeddings. Some results are supplied with proofs, while the other are cited with references to the original papers. Starting with basic properties of algebraic homogeneous spaces, the author focuses on homogeneous spaces of reductive groups and introduces two invariants: complexity and rank. He considers the Luna-Vust theory of equivariant embeddings, paying attention to the case of complexity not greater than one.

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