Analysis on Homogeneous Spaces and Representation Theory of Lie Groups, Okayama-Kyoto

Analysis on Homogeneous Spaces and Representation Theory of Lie Groups, Okayama-Kyoto PDF Author: Toshiyuki Kobayashi
Publisher: Japan Playwrights Association
ISBN:
Category : Mathematics
Languages : en
Pages : 382

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Book Description
This volume is an outgrowth of the activities of the RIMS Research Project, which presented symposia offering both individual lectures on specialized topics and expository courses on current research. The subjects therein reflect very active areas in the representation theory of Lie groups. Also included are various topical interactions with geometry of homogeneous spaces, automorphic forms, quantum groups, special functions, discrete groups, differential equations, and others. Comprising results from active areas of research, this volume should serve as an excellent guide to the representation theory of Lie groups.

Analysis on Homogeneous Spaces and Representation Theory of Lie Groups, Okayama-Kyoto

Analysis on Homogeneous Spaces and Representation Theory of Lie Groups, Okayama-Kyoto PDF Author: Toshiyuki Kobayashi
Publisher: Japan Playwrights Association
ISBN:
Category : Mathematics
Languages : en
Pages : 382

Get Book Here

Book Description
This volume is an outgrowth of the activities of the RIMS Research Project, which presented symposia offering both individual lectures on specialized topics and expository courses on current research. The subjects therein reflect very active areas in the representation theory of Lie groups. Also included are various topical interactions with geometry of homogeneous spaces, automorphic forms, quantum groups, special functions, discrete groups, differential equations, and others. Comprising results from active areas of research, this volume should serve as an excellent guide to the representation theory of Lie groups.

Representations of Lie Groups

Representations of Lie Groups PDF Author: K. Okamoto
Publisher:
ISBN:
Category : Hiroshima-shi, Japan
Languages : en
Pages : 680

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Book Description


Representation Theory and Automorphic Forms

Representation Theory and Automorphic Forms PDF Author: Toshiyuki Kobayashi
Publisher: Springer Science & Business Media
ISBN: 0817646469
Category : Mathematics
Languages : en
Pages : 220

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Book Description
This volume uses a unified approach to representation theory and automorphic forms. It collects papers, written by leading mathematicians, that track recent progress in the expanding fields of representation theory and automorphic forms and their association with number theory and differential geometry. Topics include: Automorphic forms and distributions, modular forms, visible-actions, Dirac cohomology, holomorphic forms, harmonic analysis, self-dual representations, and Langlands Functoriality Conjecture, Both graduate students and researchers will find inspiration in this volume.

Lie Theory

Lie Theory PDF Author: Jean-Philippe Anker
Publisher: Springer Science & Business Media
ISBN: 081764430X
Category : Mathematics
Languages : en
Pages : 216

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Book Description
* Focuses on two fundamental questions related to semisimple Lie groups: the geometry of Riemannian symmetric spaces and their compactifications, and branching laws for unitary representations * Wide applications of compactification techniques * Concrete examples and relevant exercises engage the reader * Knowledge of basic representation theory of Lie groups, semisimple Lie groups and symmetric spaces is required

Geometric Analysis and Integral Geometry

Geometric Analysis and Integral Geometry PDF Author: Eric Todd Quinto
Publisher: American Mathematical Soc.
ISBN: 0821887386
Category : Mathematics
Languages : en
Pages : 299

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Book Description
Provides an historical overview of several decades in integral geometry and geometric analysis as well as recent advances in these fields and closely related areas. It contains several articles focusing on the mathematical work of Sigurdur Helgason, including an overview of his research by Gestur Olafsson and Robert Stanton.

Representations of Reductive Groups

Representations of Reductive Groups PDF Author: Monica Nevins
Publisher: Birkhäuser
ISBN: 3319234439
Category : Mathematics
Languages : en
Pages : 545

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Book Description
Over the last forty years, David Vogan has left an indelible imprint on the representation theory of reductive groups. His groundbreaking ideas have lead to deep advances in the theory of real and p-adic groups, and have forged lasting connections with other subjects, including number theory, automorphic forms, algebraic geometry, and combinatorics. Representations of Reductive Groups is an outgrowth of the conference of the same name, dedicated to David Vogan on his 60th birthday, which took place at MIT on May 19-23, 2014. This volume highlights the depth and breadth of Vogan's influence over the subjects mentioned above, and point to many exciting new directions that remain to be explored. Notably, the first article by McGovern and Trapa offers an overview of Vogan's body of work, placing his ideas in a historical context. Contributors: Pramod N. Achar, Jeffrey D. Adams, Dan Barbasch, Manjul Bhargava, Cédric Bonnafé, Dan Ciubotaru, Meinolf Geck, William Graham, Benedict H. Gross, Xuhua He, Jing-Song Huang, Toshiyuki Kobayashi, Bertram Kostant, Wenjing Li, George Lusztig, Eric Marberg, William M. McGovern, Wilfried Schmid, Kari Vilonen, Diana Shelstad, Peter E. Trapa, David A. Vogan, Jr., Nolan R. Wallach, Xiaoheng Wang, Geordie Williamson

Representation theory and analysis on homogeneous spaces

Representation theory and analysis on homogeneous spaces PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 185

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Book Description


Collected Papers

Collected Papers PDF Author: Bertram Kostant
Publisher: Springer Science & Business Media
ISBN: 0387095837
Category : Mathematics
Languages : en
Pages : 538

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Book Description
For more than five decades Bertram Kostant has been one of the major architects of modern Lie theory. Virtually all his papers are pioneering with deep consequences, many giving rise to whole new fields of activities. His interests span a tremendous range of Lie theory, from differential geometry to representation theory, abstract algebra, and mathematical physics. It is striking to note that Lie theory (and symmetry in general) now occupies an ever increasing larger role in mathematics than it did in the fifties. Now in the sixth decade of his career, he continues to produce results of astonishing beauty and significance for which he is invited to lecture all over the world. This is the first volume (1955-1966) of a five-volume set of Bertram Kostant's collected papers. A distinguished feature of this first volume is Kostant's commentaries and summaries of his papers in his own words.

Representation Theory of Lie Groups and Lie Algebras

Representation Theory of Lie Groups and Lie Algebras PDF Author: Takeshi Kawazoe
Publisher: World Scientific Publishing Company
ISBN:
Category : Mathematics
Languages : en
Pages : 264

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Book Description
The proceedings in this volume covers recent developments of representation theory of real Lie groups, Lie algebras, harmonic analysis on homogeneous spaces, their applications and related topics.

Representations of Algebraic Groups

Representations of Algebraic Groups PDF Author: Jens Carsten Jantzen
Publisher: American Mathematical Soc.
ISBN: 082184377X
Category : Mathematics
Languages : en
Pages : 594

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Book Description
Gives an introduction to the general theory of representations of algebraic group schemes. This title deals with representation theory of reductive algebraic groups and includes topics such as the description of simple modules, vanishing theorems, Borel-Bott-Weil theorem and Weyl's character formula, and Schubert schemes and lne bundles on them.