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From the reviews:
“The book by D. A. Timashev is a welcome survey of old and new results on actions of algebraic groups on algebraic varieties. … The book contains an extensive list of references, both to original research articles as well as to books and monographs. It is surely a welcome guide for nonexperts who want to enter the subject and a good reference for the specialist.” (Gestur Ólafsson, Bulletin of the American Mathematical Society, Vol. 51 (2), April, 2014)
“This book is a survey of the study of equivariant embeddings of homogeneous spaces for connected reductive algebraic groups. … The book is well written and puts together many results in a complete and concise manner.” (Lucy Moser-Jauslin, Mathematical Reviews, Issue 2012 e)
“The book under review is concerned with the study of equivariant embeddings of homogeneous spaces … . This monograph provides a compact survey of these issues, including many results of Brion, Knop, Luna, and Vust, among others, as well as the author’s own significant contributions to the field. … The author admirably fills a gap in the current literature on algebraic groups with this book. It should make a welcome addition to any mathematician’s library.” (Nathan Ilten, Zentralblatt MATH, Vol. 1237, 2012)