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Author : Anatoliĭ Ivanovich Malʹt͡sev
Publisher :
ISBN 13 :
Total Pages : 40 pages
Book Rating : 4.X/5 (1 download)
Download or read book On a Class of Homogeneous Spaces written by Anatoliĭ Ivanovich Malʹt͡sev and published by . This book was released on 1951 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. I. Malʹt︠s︡ev
Publisher :
ISBN 13 :
Total Pages : 33 pages
Book Rating : 4.:/5 (464 download)
Download or read book On a Class of Homogeneous Spaces written by A. I. Malʹt︠s︡ev and published by . This book was released on 1951 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kichoon Yang
Publisher : World Scientific
ISBN 13 : 9789971503772
Total Pages : 128 pages
Book Rating : 4.5/5 (37 download)
Download or read book Almost Complex Homogeneous Spaces and Their Submanifolds written by Kichoon Yang and published by World Scientific. This book was released on 1987 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the theory of almost complex homogeneous spaces and certain closely related class of spaces, so called partial G-flag manifolds. Submanifolds, in particular holomorphic curves, are also treated using the theory of moving frames and the structure theory of compact lie groups. The exposition is reasonably self-contained and this book is strongly recommended as a text for beginning graduate students.
Author : Alfred William Adler
Publisher :
ISBN 13 :
Total Pages : 68 pages
Book Rating : 4.:/5 (153 download)
Download or read book Characteristic Classes of Homogeneous Spaces written by Alfred William Adler and published by . This book was released on 1956 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : D.A. Timashev
Publisher : Springer
ISBN 13 : 9783642183980
Total Pages : 254 pages
Book Rating : 4.1/5 (839 download)
Download or read book Homogeneous Spaces and Equivariant Embeddings written by D.A. Timashev and published by Springer. This book was released on 2011-04-07 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: Homogeneous spaces of linear algebraic groups lie at the crossroads of algebraic geometry, theory of algebraic groups, classical projective and enumerative geometry, harmonic analysis, and representation theory. By standard reasons of algebraic geometry, in order to solve various problems on a homogeneous space, it is natural and helpful to compactify it while keeping track of the group action, i.e., to consider equivariant completions or, more generally, open embeddings of a given homogeneous space. Such equivariant embeddings are the subject of this book. We focus on the classification of equivariant embeddings in terms of certain data of "combinatorial" nature (the Luna-Vust theory) and description of various geometric and representation-theoretic properties of these varieties based on these data. The class of spherical varieties, intensively studied during the last three decades, is of special interest in the scope of this book. Spherical varieties include many classical examples, such as Grassmannians, flag varieties, and varieties of quadrics, as well as well-known toric varieties. We have attempted to cover most of the important issues, including the recent substantial progress obtained in and around the theory of spherical varieties.
Author : Andreas Arvanitoyeorgos
Publisher : MDPI
ISBN 13 : 3039280007
Total Pages : 128 pages
Book Rating : 4.0/5 (392 download)
Download or read book Geometry of Submanifolds and Homogeneous Spaces written by Andreas Arvanitoyeorgos and published by MDPI. This book was released on 2020-01-03 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present Special Issue of Symmetry is devoted to two important areas of global Riemannian geometry, namely submanifold theory and the geometry of Lie groups and homogeneous spaces. Submanifold theory originated from the classical geometry of curves and surfaces. Homogeneous spaces are manifolds that admit a transitive Lie group action, historically related to F. Klein's Erlangen Program and S. Lie's idea to use continuous symmetries in studying differential equations. In this Special Issue, we provide a collection of papers that not only reflect some of the latest advancements in both areas, but also highlight relations between them and the use of common techniques. Applications to other areas of mathematics are also considered.
Author : Alexandre Augusto Rodrigues
Publisher :
ISBN 13 :
Total Pages : 76 pages
Book Rating : 4.:/5 (467 download)
Download or read book Characteristic Classes of Homogeneous Spaces written by Alexandre Augusto Rodrigues and published by . This book was released on 1957 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Louis Auslander
Publisher : Princeton University Press
ISBN 13 : 9780691079639
Total Pages : 124 pages
Book Rating : 4.0/5 (796 download)
Download or read book Flows on Homogeneous Spaces written by Louis Auslander and published by Princeton University Press. This book was released on 1963-05-21 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: The description for this book, Flows on Homogeneous Spaces. (AM-53), Volume 53, will be forthcoming.
Author : Armand Borel (Mathématicien)
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (637 download)
Download or read book Characteristic Classes and Homogeneous Spaces written by Armand Borel (Mathématicien) and published by . This book was released on 1958 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Armand Borel
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (17 download)
Download or read book Characteristic classes and homogeneous spaces written by Armand Borel and published by . This book was released on 1957 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : D.A. Timashev
Publisher : Springer Science & Business Media
ISBN 13 : 3642183999
Total Pages : 267 pages
Book Rating : 4.6/5 (421 download)
Download or read book Homogeneous Spaces and Equivariant Embeddings written by D.A. Timashev and published by Springer Science & Business Media. This book was released on 2011-04-06 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: Homogeneous spaces of linear algebraic groups lie at the crossroads of algebraic geometry, theory of algebraic groups, classical projective and enumerative geometry, harmonic analysis, and representation theory. By standard reasons of algebraic geometry, in order to solve various problems on a homogeneous space, it is natural and helpful to compactify it while keeping track of the group action, i.e., to consider equivariant completions or, more generally, open embeddings of a given homogeneous space. Such equivariant embeddings are the subject of this book. We focus on the classification of equivariant embeddings in terms of certain data of "combinatorial" nature (the Luna-Vust theory) and description of various geometric and representation-theoretic properties of these varieties based on these data. The class of spherical varieties, intensively studied during the last three decades, is of special interest in the scope of this book. Spherical varieties include many classical examples, such as Grassmannians, flag varieties, and varieties of quadrics, as well as well-known toric varieties. We have attempted to cover most of the important issues, including the recent substantial progress obtained in and around the theory of spherical varieties.
Author : M. O. Calvão
Publisher :
ISBN 13 :
Total Pages : 10 pages
Book Rating : 4.:/5 (354 download)
Download or read book Notes on a Class of Homogeneous Space-times written by M. O. Calvão and published by . This book was released on 1987 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : George D. Mostow
Publisher :
ISBN 13 :
Total Pages : 32 pages
Book Rating : 4.3/5 (91 download)
Download or read book On the Fundamental Group of a Homogeneous Space written by George D. Mostow and published by . This book was released on 1957 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Evgueni A. Tevelev
Publisher : Springer Science & Business Media
ISBN 13 : 3540269576
Total Pages : 257 pages
Book Rating : 4.5/5 (42 download)
Download or read book Projective Duality and Homogeneous Spaces written by Evgueni A. Tevelev and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Projective duality is a very classical notion naturally arising in various areas of mathematics, such as algebraic and differential geometry, combinatorics, topology, analytical mechanics, and invariant theory, and the results in this field were until now scattered across the literature. Thus the appearance of a book specifically devoted to projective duality is a long-awaited and welcome event. Projective Duality and Homogeneous Spaces covers a vast and diverse range of topics in the field of dual varieties, ranging from differential geometry to Mori theory and from topology to the theory of algebras. It gives a very readable and thorough account and the presentation of the material is clear and convincing. For the most part of the book the only prerequisites are basic algebra and algebraic geometry. This book will be of great interest to graduate and postgraduate students as well as professional mathematicians working in algebra, geometry and analysis.
Author : Madabusi S. Raghunathan
Publisher : Springer
ISBN 13 : 9783642864285
Total Pages : 0 pages
Book Rating : 4.8/5 (642 download)
Download or read book Discrete Subgroups of Lie Groups written by Madabusi S. Raghunathan and published by Springer. This book was released on 2012-11-09 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book originated from a course of lectures given at Yale University during 1968-69 and a more elaborate one, the next year, at the Tata Institute of Fundamental Research. Its aim is to present a detailed ac count of some of the recent work on the geometric aspects of the theory of discrete subgroups of Lie groups. Our interest, by and large, is in a special class of discrete subgroups of Lie groups, viz., lattices (by a lattice in a locally compact group G, we mean a discrete subgroup H such that the homogeneous space GJ H carries a finite G-invariant measure). It is assumed that the reader has considerable familiarity with Lie groups and algebraic groups. However most of the results used frequently in the book are summarised in "Preliminaries"; this chapter, it is hoped, will be useful as a reference. We now briefly outline the contents of the book. Chapter I deals with results of a general nature on lattices in locally compact groups. The second chapter is an account of the fairly complete study of lattices in nilpotent Lie groups carried out by Ma1cev. Chapters III and IV are devoted to lattices in solvable Lie groups; most of the theorems here are due to Mostow. In Chapter V we prove a density theorem due to Borel: this is the first important result on lattices in semisimple Lie groups.
Author : Victor G. Kac
Publisher : Springer
ISBN 13 : 3030021912
Total Pages : 540 pages
Book Rating : 4.0/5 (3 download)
Download or read book Lie Groups, Geometry, and Representation Theory written by Victor G. Kac and published by Springer. This book was released on 2018-12-12 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, dedicated to the memory of the great American mathematician Bertram Kostant (May 24, 1928 – February 2, 2017), is a collection of 19 invited papers by leading mathematicians working in Lie theory, representation theory, algebra, geometry, and mathematical physics. Kostant’s fundamental work in all of these areas has provided deep new insights and connections, and has created new fields of research. This volume features the only published articles of important recent results of the contributors with full details of their proofs. Key topics include: Poisson structures and potentials (A. Alekseev, A. Berenstein, B. Hoffman) Vertex algebras (T. Arakawa, K. Kawasetsu) Modular irreducible representations of semisimple Lie algebras (R. Bezrukavnikov, I. Losev) Asymptotic Hecke algebras (A. Braverman, D. Kazhdan) Tensor categories and quantum groups (A. Davydov, P. Etingof, D. Nikshych) Nil-Hecke algebras and Whittaker D-modules (V. Ginzburg) Toeplitz operators (V. Guillemin, A. Uribe, Z. Wang) Kashiwara crystals (A. Joseph) Characters of highest weight modules (V. Kac, M. Wakimoto) Alcove polytopes (T. Lam, A. Postnikov) Representation theory of quantized Gieseker varieties (I. Losev) Generalized Bruhat cells and integrable systems (J.-H. Liu, Y. Mi) Almost characters (G. Lusztig) Verlinde formulas (E. Meinrenken) Dirac operator and equivariant index (P.-É. Paradan, M. Vergne) Modality of representations and geometry of θ-groups (V. L. Popov) Distributions on homogeneous spaces (N. Ressayre) Reduction of orthogonal representations (J.-P. Serre)
Author : Pan Wenjie
Publisher :
ISBN 13 :
Total Pages : 15 pages
Book Rating : 4.:/5 (897 download)
Download or read book A Class of Approximations of the Identity on Spaces of Homogeneous Type written by Pan Wenjie and published by . This book was released on 1990 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt:
