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Lectures on Representation Theory
This book is an expanded version of the lectures given at the Nankai Mathematical Summer School in 1997. It provides an introduction to Lie groups, Lie algebras and their representations as well as introduces some directions of current research for graduate students who have little specialized knowledge in representation theory. It only assumes that the reader has a good knowledge of linear algebra and some basic knowledge of abstract algebra.Parts I-III of the book cover the relatively elementary material of representation theory of finite groups, simple Lie algebras and compact Lie groups. These theories are natural continuation of linear algebra. The last chapter of Part III includes some recent results on extension of Weyl's construction to exceptional groups. Part IV covers some advanced material on infinite-dimensional representations of non-compact groups such as the orbit method, minimal representations and dual pair correspondences, which introduces some directions of the current research in representation theory.
Dirac Operators in Representation Theory
This book presents a comprehensive treatment of important new ideas on Dirac operators and Dirac cohomology. Using Dirac operators as a unifying theme, the authors demonstrate how some of the most important results in representation theory fit together when viewed from this perspective. The book is an excellent contribution to the mathematical literature of representation theory, and this self-contained exposition offers a systematic examination and panoramic view of the subject. The material will be of interest to researchers and graduate students in representation theory, differential geometry, and physics.
Representations of Real and P-adic Groups
This invaluable volume collects the expanded lecture notes of thosetutorials. The topics covered include uncertainty principles forlocally compact abelian groups, fundamentals of representations of"p"-adic groups, the Harish?Chandra?Howe local characterexpansion, classification of the square-integrable representationsmodulo cuspidal data, Dirac cohomology and Vogan's conjecture, multiplicity-free actions and Schur?Weyl?Howe duality.
Representations of Reductive Groups
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...
Harmonic Analysis on Reductive Groups
A conference on Harmonic Analysis on Reductive Groups was held at Bowdoin College in Brunswick, Maine from July 31 to August 11, 1989. The stated goal of the conference was to explore recent advances in harmonic analysis on both real and p-adic groups. It was the first conference since the AMS Summer Sym posium on Harmonic Analysis on Homogeneous Spaces, held at Williamstown, Massachusetts in 1972, to cover local harmonic analysis on reductive groups in such detail and to such an extent. While the Williamstown conference was longer (three weeks) and somewhat broader (nilpotent groups, solvable groups, as well as semisimple and reductive groups), the structure and timeliness of the two meetin...
Automated Technology for Verification and Analysis
This book constitutes the refereed proceedings of the Second International Conference on Automated Technology for Verificaton and Analysis, ATVA 2004, held in Taipei, Taiwan in October/November 2004. The 24 revised full papers presented together with abstracts of 6 invited presentations and 7 special track papers were carefully reviewed and selected from 69 submissions. Among the topics addressed are model-checking theory, theorem-proving theory, state-space reduction techniques, languages in automated verification, parametric analysis, optimization, formal performance analysis, real-time systems, embedded systems, infinite-state systems, Petri nets, UML, synthesis, and tools.
Chinese Securities Companies
At the turn of this century, China's capital market entered a new era. Since then, the continuously fast growth and rising income levels in China have led to significant change in the market's financial structure. Increasingly active financial investments that are becoming more market-oriented and individual demand for financial services have brought about increasing need for diversity, securitization and portfolio management services. Meanwhile, securities companies in China, as the major providers of financial services in the capital market, are going through a period of significant opportu.
Symmetry: Representation Theory and Its Applications
Nolan Wallach's mathematical research is remarkable in both its breadth and depth. His contributions to many fields include representation theory, harmonic analysis, algebraic geometry, combinatorics, number theory, differential equations, Riemannian geometry, ring theory, and quantum information theory. The touchstone and unifying thread running through all his work is the idea of symmetry. This volume is a collection of invited articles that pay tribute to Wallach's ideas, and show symmetry at work in a large variety of areas. The articles, predominantly expository, are written by distinguished mathematicians and contain sufficient preliminary material to reach the widest possible audience...
Dictionary of the Ben cao gang mu, Volume 3
The Ben cao gang mu, compiled in the second half of the sixteenth century by a team led by the physician Li Shizhen (1518–1593) on the basis of previously published books and contemporary knowledge, is the largest encyclopedia of natural history in a long tradition of Chinese materia medica works. Its description of almost 1,900 pharmaceutically used natural and man-made substances marks the apex of the development of premodern Chinese pharmaceutical knowledge. The Ben cao gang mu dictionary offers access to this impressive work of 1,600,000 characters. This third book in a three-volume series offers detailed biographical data on all identifiable authors, patients, witnesses of therapies, transmitters of recipes, and further persons mentioned in the Ben cao gang mu and provides bibliographical data on all textual sources resorted to and quoted by Li Shizhen and his collaborators.
China and International Adjudication
China will eine "Führungsnation" im Völkerrecht werden. Dieses Buch zeigt mit einer ersten umfassenden Analyse von Fallrecht und chinesischen akademischen Debatten von 2002 bis 2018, dass die verstärkte Nutzung von internationalen Gerichten Teil eines breiten Unterfangens ist, Chinas wirtschaftliche und politische Erfolge zu konsolidieren, und erneut Großmachtstatus zu erlangen. Handels- und Investmentrecht, Seerecht und territoriale Fragen werden abgedeckt – auch zum Südchinesischen Meer – und ein jahrzehntelanger Prozess zwischen Vorsicht und Ambition nachgezeichnet. Diskussionsmuster und tatsächliches Engagement Chinas in allen Rechtsbereichen zeigen bemerkenswerte Gemeinsamkeiten, lediglich die Zeitpläne sind unterschiedlich.
