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Author: O. Kowalski
Publisher: Springer
ISBN: 3540393293
Category : Mathematics
Languages : en
Pages : 198
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Book Description
Author: O. Kowalski
Publisher: Springer
ISBN: 3540393293
Category : Mathematics
Languages : en
Pages : 198
Get Book Here
Book Description
Author: O. Kowalski
Publisher:
ISBN: 9783662210789
Category :
Languages : en
Pages : 208
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Book Description
Author:
Publisher:
ISBN: 9780387100029
Category : Mathematics
Languages : en
Pages : 187
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Book Description
Author: Oldrich Kowalski
Publisher:
ISBN:
Category :
Languages : de
Pages :
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Author: Ottmar Loos
Publisher:
ISBN:
Category : Continuous groups
Languages : en
Pages : 216
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Author: Gestur Olafsson
Publisher: Academic Press
ISBN: 0080528724
Category : Mathematics
Languages : en
Pages : 303
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Book Description
This book is intended to introduce researchers and graduate students to the concepts of causal symmetric spaces. To date, results of recent studies considered standard by specialists have not been widely published. This book seeks to bring this information to students and researchers in geometry and analysis on causal symmetric spaces.Includes the newest results in harmonic analysis including Spherical functions on ordered symmetric space and the holmorphic discrete series and Hardy spaces on compactly casual symmetric spacesDeals with the infinitesimal situation, coverings of symmetric spaces, classification of causal symmetric pairs and invariant cone fieldsPresents basic geometric properties of semi-simple symmetric spacesIncludes appendices on Lie algebras and Lie groups, Bounded symmetric domains (Cayley transforms), Antiholomorphic Involutions on Bounded Domains and Para-Hermitian Symmetric Spaces
Author: Michael Kapovich
Publisher: American Mathematical Soc.
ISBN: 0821840541
Category : Mathematics
Languages : en
Pages : 98
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Book Description
In this paper the authors apply their results on the geometry of polygons in infinitesimal symmetric spaces and symmetric spaces and buildings to four problems in algebraic group theory. Two of these problems are generalizations of the problems of finding the constraints on the eigenvalues (resp. singular values) of a sum (resp. product) when the eigenvalues (singular values) of each summand (factor) are fixed. The other two problems are related to the nonvanishing of the structure constants of the (spherical) Hecke and representation rings associated with a split reductive algebraic group over $\mathbb{Q}$ and its complex Langlands' dual. The authors give a new proof of the Saturation Conjecture for $GL(\ell)$ as a consequence of their solution of the corresponding saturation problem for the Hecke structure constants for all split reductive algebraic groups over $\mathbb{Q}$.
Author: François Rouvière
Publisher: Springer
ISBN: 3319097733
Category : Mathematics
Languages : en
Pages : 215
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Book Description
Gathering and updating results scattered in journal articles over thirty years, this self-contained monograph gives a comprehensive introduction to the subject. Its goal is to: - motivate and explain the method for general Lie groups, reducing the proof of deep results in invariant analysis to the verification of two formal Lie bracket identities related to the Campbell-Hausdorff formula (the "Kashiwara-Vergne conjecture"); - give a detailed proof of the conjecture for quadratic and solvable Lie algebras, which is relatively elementary; - extend the method to symmetric spaces; here an obstruction appears, embodied in a single remarkable object called an "e-function"; - explain the role of this function in invariant analysis on symmetric spaces, its relation to invariant differential operators, mean value operators and spherical functions; - give an explicit e-function for rank one spaces (the hyperbolic spaces); - construct an e-function for general symmetric spaces, in the spirit of Kashiwara and Vergne's original work for Lie groups. The book includes a complete rewriting of several articles by the author, updated and improved following Alekseev, Meinrenken and Torossian's recent proofs of the conjecture. The chapters are largely independent of each other. Some open problems are suggested to encourage future research. It is aimed at graduate students and researchers with a basic knowledge of Lie theory.
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Author: S. Węgrzynowski
Publisher:
ISBN:
Category : Generalized spaces
Languages : en
Pages : 84
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Author: Adam Korányi
Publisher:
ISBN:
Category : Hermitian symmetric spaces
Languages : en
Pages :
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