Alan Huckleberry – författare
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6 produkter
6 produkter
Del 245 - Progress in Mathematics
Cycle Spaces of Flag Domains
A Complex Geometric Viewpoint
Inbunden, Engelska, 2005
1 393 kr
Skickas inom 10-15 vardagar
This monograph, divided into four parts, presents a comprehensive treatment and systematic examination of cycle spaces of flag domains. Assuming only a basic familiarity with the concepts of Lie theory and geometry, this work presents a complete structure theory for these cycle spaces, and their applications to harmonic analysis and algebraic geometry. Key features: All the necessary background material is provided for the nonspecialist, thus making the book accessible to readers from a wide range of fields. - The exposition, driven by numerous examples, is presented from the complex geometric viewpoint, but the methods, applications and much of the motivation also comes from real and complex algebraic groups and their representations as well as other areas of geometry. - Many new results presented for the first time - Comparisons with classical Barlet cycle spaces are given - Good bibliography and index Researchers and graduate students in complex analysis, harmonic analysis, representation theory, transformation groups, algebraic geometry, differential geometry and areas of global geometric analysis will benefit from this work.
Del 306 - Progress in Mathematics
Lie Groups: Structure, Actions, and Representations
In Honor of Joseph A. Wolf on the Occasion of his 75th Birthday
Inbunden, Engelska, 2013
1 073 kr
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Lie Groups: Structures, Actions, and Representations, In Honor of Joseph A. Wolf on the Occasion of his 75th Birthday consists of invited expository and research articles on new developments arising from Wolf's profound contributions to mathematics. Due to Professor Wolf’s broad interests, outstanding mathematicians and scholars in a wide spectrum of mathematical fields contributed to the volume. Algebraic, geometric, and analytic methods are employed. More precisely, finite groups and classical finite dimensional, as well as infinite-dimensional Lie groups, and algebras play a role. Actions on classical symmetric spaces, and on abstract homogeneous and representation spaces are discussed. Contributions in the area of representation theory involve numerous viewpoints, including that of algebraic groups and various analytic aspects of harmonic analysis. Contributors D. Akhiezer T. OshimaA. Andrada I. PacharoniM. L. Barberis F. RicciL. Barchini S. RosenbergI. Dotti N. ShimenoM. Eastwood J.TiraoV. Fischer S. TreneerT. Kobayashi C.T.C. WallA. Korányi D. WallaceB. Kostant K. WiboontonP. Kostelec F. XuK.-H. Neeb O. YakimovaG. Olafsson R. ZierauB. Ørsted
Del 306 - Progress in Mathematics
Lie Groups: Structure, Actions, and Representations
In Honor of Joseph A. Wolf on the Occasion of his 75th Birthday
Häftad, Engelska, 2015
1 073 kr
Skickas inom 10-15 vardagar
1 071 kr
Skickas inom 10-15 vardagar
This collection of surveys present an overview of recent developments in Complex Geometry. Topics range from curve and surface theory through special varieties in higher dimensions, moduli theory, Kahler geometry, and group actions to Hodge theory and characteristic p-geometry. Written by established experts this book will be a must for mathematicians working in Complex Geometry
1 071 kr
Skickas inom 10-15 vardagar
This collection of surveys present an overview of recent developments in Complex Geometry. Topics range from curve and surface theory through special varieties in higher dimensions, moduli theory, Kahler geometry, and group actions to Hodge theory and characteristic p-geometry. Written by established experts this book will be a must for mathematicians working in Complex Geometry
539 kr
Skickas inom 10-15 vardagar
Infinite dimensional manifolds, Lie groups and algebras arise naturally in many areas of mathematics and physics. Having been used mainly as a tool for the study of finite dimensional objects, the emphasis has changed and they are now frequently studied for their own independent interest. On the one hand this is a collection of closely related articles on infinite dimensional Kähler manifolds and associated group actions which grew out of a DMV-Seminar on the same subject. On the other hand it covers significantly more ground than was possible during the seminar in Oberwolfach and is in a certain sense intended as a systematic approach which ranges from the foundations of the subject to recent developments. It should be accessible to doctoral students and as well researchers coming from a wide range of areas. The initial chapters are devoted to a rather selfcontained introduction to group actions on complex and symplectic manifolds and to Borel-Weil theory in finite dimensions. These are followed by a treatment of the basics of infinite dimensional Lie groups, their actions and their representations. Finally, a number of more specialized and advanced topics are discussed, e.g., Borel-Weil theory for loop groups, aspects of the Virasoro algebra, (gauge) group actions and determinant bundles, and second quantization and the geometry of the infinite dimensional Grassmann manifold.