Home Newsletter
News Books
Welcome to FreeScience.info Language/Lingua

Books 3054
· Book News
· Most clicked
· Least clicked

Search for a Book
Add a new Book

Homogeneous spaces and equivariant embeddings

Author: Dmitri A. Timashev
Url: http://arxiv.org/abs/math.AG/0602228
Format: Ps, Pdf
Category: Algebra
Pages: 250
Clicks: 2592

This is a draft of a monograph to appear in the Springer series "Encyclopaedia of Mathematical Sciences", subseries "Invariant Theory and Algebraic Transformation Groups". The subject is homogeneous spaces of algebraic groups and their equivariant embeddings. The style of exposition is intermediate between survey and detailed monograph: some results are supplied with detailed proofs, while the other are cited without proofs but with references to the original papers. The content is briefly as follows. Starting with basic properties of algebraic homogeneous spaces and related objects, such as induced representations, we focus the attention on homogeneous spaces of reductive groups and introduce two important invariants, called complexity and rank. For the embedding theory it is important that homogeneous spaces of small complexity admit a transparent combinatorial description of their equivariant embeddings. We consider the Luna-Vust theory of equivariant embeddings, paying special attention to the case of complexity not greater than one. A special chapter is devoted to spherical varieties (= embeddings of homogeneous spaces of complexity zero), due to their particular importance and ubiquity. A relation between equivariant embedding theory and equivariant symplectic geometry is also discussed. The book contains several classification results (homogeneous spaces of small complexity, etc).

Similar Books
The Classification of the Finite Simple Groups
Group Characters, Symmetric Functions, and the Hecke Algebra
A Course in Universal Algebra
Introduction to Vectors and Tensors, Vol. 1
Introduction to Vectors and Tensors, Vol. 2
Algebra: Abstract and Concrete
Toeplitz and Circulant Matrices
Structure and Representations of Jordan Algebras
An Invitation to General Algebra and Universal Constructions
Varieties of Lattices
Finite Dimensional Algebras
Introduction to Normed *-Algebras and their Representations, 5th ed
Introduction to Normed *-Algebras and their Representations
Algebra II
Super Linear Algebra
Algorithmic Algebra
A graduate algebra text
Algebraic methods
An introduction to Algebra and Topology
Set Theoretic Approach to Algebraic Structures in Mathematics

Home |  Authors | About | Contact Us |  Email 
 Copyright © 2002-2013 FreeScience.info. 

Best viewed with Mozilla 1.X 1024x768
free scientific books