Ebook: Lie Groups: Structure, Actions, and Representations: In Honor of Joseph A. Wolf on the Occasion of his 75th Birthday
- Tags: Topological Groups Lie Groups, Associative Rings and Algebras, Functional Analysis
- Series: Progress in Mathematics 306
- Year: 2013
- Publisher: Birkhäuser Basel
- Edition: 1
- Language: English
- pdf
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. Oshima
A. Andrada I. Pacharoni
M. L. Barberis F. Ricci
L. Barchini S. Rosenberg
I. Dotti N. Shimeno
M. Eastwood J. Tirao
V. Fischer S. Treneer
T. Kobayashi C.T.C. Wall
A. Korányi D. Wallace
B. Kostant K. Wiboonton
P. Kostelec F. Xu
K.-H. Neeb O. Yakimova
G. Olafsson R. Zierau
B. Ørsted
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. Oshima
A. Andrada I. Pacharoni
M. L. Barberis F. Ricci
L. Barchini S. Rosenberg
I. Dotti N. Shimeno
M. Eastwood J. Tirao
V. Fischer S. Treneer
T. Kobayashi C.T.C. Wall
A. Korányi D. Wallace
B. Kostant K. Wiboonton
P. Kostelec F. Xu
K.-H. Neeb O. Yakimova
G. Olafsson R. Zierau
B. Ørsted
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. Oshima
A. Andrada I. Pacharoni
M. L. Barberis F. Ricci
L. Barchini S. Rosenberg
I. Dotti N. Shimeno
M. Eastwood J. Tirao
V. Fischer S. Treneer
T. Kobayashi C.T.C. Wall
A. Korányi D. Wallace
B. Kostant K. Wiboonton
P. Kostelec F. Xu
K.-H. Neeb O. Yakimova
G. Olafsson R. Zierau
B. Ørsted
Content:
Front Matter....Pages i-xiv
Real Group Orbits on Flag Manifolds....Pages 1-24
Complex Connections with Trivial Holonomy....Pages 25-39
Indefinite Harmonic Theory and Harmonic Spinors....Pages 41-57
Twistor Theory and the Harmonic Hull....Pages 59-80
Nilpotent Gelfand Pairs and Spherical Transforms of Schwartz Functions II: Taylor Expansions on Singular Sets....Pages 81-112
Propagation of Multiplicity-Freeness Property for Holomorphic Vector Bundles....Pages 113-140
Poisson Transforms for Line Bundles from the Shilov Boundary to Bounded Symmetric Domains....Pages 141-162
Center $U(mathfrak{n})$ , Cascade of Orthogonal Roots, and a Construction of Lipsman–Wolf....Pages 163-173
Weak Harmonic Maaß Forms and the Principal Series for $SL(2, mathbb{R})$ ....Pages 175-184
Holomorphic Realization of Unitary Representations of Banach–Lie Groups....Pages 185-223
The Segal–Bargmann Transform on Compact Symmetric Spaces and Their Direct Limits....Pages 225-253
Analysis on Flag Manifolds and Sobolev Inequalities....Pages 255-271
Boundary Value Problems on Riemannian Symmetric Spaces of the Noncompact Type....Pages 273-308
One-Step Spherical Functions of the Pair (SU(n+1), U(n))....Pages 309-354
Chern–Weil Theory for Certain Infinite-Dimensional Lie Groups....Pages 355-380
On the Structure of Finite Groups with Periodic Cohomology....Pages 381-413