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The Orbit Method in Representation Theory
Ever since its introduction around 1960 by Kirillov, the orbit method has played a major role in representation theory of Lie groups and Lie algebras. This book contains the proceedings of a conference held from August 29 to September 2, 1988, at the University of Copenhagen, about "the orbit method in representation theory." It contains ten articles, most of which are original research papers, by well-known mathematicians in the field, and it reflects the fact that the orbit method plays an important role in the representation theory of semisimple Lie groups, solvable Lie groups, and even more general Lie groups, and also in the theory of enveloping algebras.
Nobel Prize in Economic Sciences
What is Nobel Memorial Prize in Economic Sciences The Nobel Memorial Prize in Economic Sciences, officially the Sveriges Riksbank Prize in Economic Sciences in Memory of Alfred Nobel, is an economics award funded by Sveriges Riksbank and administered by the Nobel Foundation. How you will benefit (I) Insights, and validations about the following topics: Chapter 1: Nobel Memorial Prize in Economic Sciences Chapter 2: Nobel Prize Chapter 3: Daniel McFadden Chapter 4: Oliver E. Williamson Chapter 5: Chicago school of economics Chapter 6: Dale T. Mortensen Chapter 7: Antebellum South Chapter 8: MIT Department of Economics Chapter 9: Bengt Holmström Chapter 10: Robert B. Wilson Chapter 11: Roger ...
Lie Theory and Geometry
This volume, dedicated to Bertram Kostant on the occasion of his 65th birthday, is a collection of 22 invited papers by leading mathematicians working in Lie theory, geometry, algebra, and mathematical physics. Kostant’s fundamental work in all these areas has provided deep new insights and connections, and has created new fields of research. The papers gathered here present original research articles as well as expository papers, broadly reflecting the range of Kostant’s work.
The Nobel Prizes 2019
The Nobel Prizes is the official yearbook of the Nobel Foundation. This edition provides extensive information about the 2019 laureates: their Nobel Prize lectures and their autobiographies, as well as presentation speeches and background about the Nobel festivities.Published on behalf of the Nobel Foundation.
Supersymmetry in Mathematics and Physics
Supersymmetry was created by the physicists in the 1970's to give a unified treatment of fermions and bosons, the basic constituents of matter. Since then its mathematical structure has been recognized as that of a new development in geometry, and mathematicians have busied themselves with exploring this aspect. This volume collects recent advances in this field, both from a physical and a mathematical point of view, with an accent on a rigorous treatment of the various questions raised.
New Developments in Lie Theory and Its Applications
Focuses on representation theory, harmonic analysis in Lie groups, and mathematical physics related to Lie theory. The papers give a broad overview of these subjects and also of the recent developments in research.
Emmy Noether in Bryn Mawr
Sponsored by the Association for Women in Mathematics
Representation Theory of Solvable Lie Groups and Related Topics
The purpose of the book is to discuss the latest advances in the theory of unitary representations and harmonic analysis for solvable Lie groups. The orbit method created by Kirillov is the most powerful tool to build the ground frame of these theories. Many problems are studied in the nilpotent case, but several obstacles arise when encompassing exponentially solvable settings. The book offers the most recent solutions to a number of open questions that arose over the last decades, presents the newest related results, and offers an alluring platform for progressing in this research area. The book is unique in the literature for which the readership extends to graduate students, researchers, and beginners in the fields of harmonic analysis on solvable homogeneous spaces.
Symmetric Spaces and the Kashiwara-Vergne Method
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 th...
