Exponential Groups
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Lie Groups And Subsemigroups With Surjective Exponential Function
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Author : Karl Heinrich Hofmann
language : en
Publisher: American Mathematical Soc.
Release Date : 1997
Lie Groups And Subsemigroups With Surjective Exponential Function written by Karl Heinrich Hofmann and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Exponential functions categories.
In the structure theory of real Lie groups, there is still information lacking about the exponential function. Most notably, there are no general necessary and sufficient conditions for the exponential function to be surjective. It is surprising that for subsemigroups of Lie groups, the question of the surjectivity of the exponential function can be answered. Under nature reductions setting aside the "group part" of the problem, subsemigroups of Lie groups with surjective exponential function are completely classified and explicitly constructed in this memoir. There are fewer than one would think and the proofs are harder than one would expect, requiring some innovative twists. The main protagonists on the scene are SL(2, R) and its universal covering group, almost abelian solvable Lie groups (ie. vector groups extended by homotheties), and compact Lie groups. This text will also be of interest to those working in algebra and algebraic geometry.
Unitary Representation Theory Of Exponential Lie Groups
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Author : Horst Leptin
language : en
Publisher: Walter de Gruyter
Release Date : 2011-06-01
Unitary Representation Theory Of Exponential Lie Groups written by Horst Leptin and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-01 with Mathematics categories.
The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany
Exponential Groups
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Author : Allen White
language : en
Publisher: Hendrickson Publishers
Release Date : 2017-02-01
Exponential Groups written by Allen White and has been published by Hendrickson Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-01 with Religion categories.
This book brims with effective strategies for recruiting leaders, connecting members into groups, coaching groups for success, and giving people something to say yes to, even when they have rejected church-wide campaigns previously offered by their churches. Keys to effective, ongoing groups include leadership training, ongoing coaching, appropriate recordkeeping, as well as a sequence of aligned series rather than just a single occasional campaign. This book provides fundamentals that will insure ongoing success proven principles used effectively in hundreds of churches across North America. Readers of Exponential Groupswill learn how to connect their unconnected members into community, recruit the group leaders needed to connect and grow their congregation, coach group leaders for a sustainable group structure that will serve their church for years to come, understand how to maintain current discipleship strategies, and implement new strategies without alienating their members or derailing their current systems.
Exponential Genus Problems In One Relator Products Of Groups
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Author : Andrew James Duncan
language : en
Publisher: American Mathematical Soc.
Release Date : 2007
Exponential Genus Problems In One Relator Products Of Groups written by Andrew James Duncan and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
Exponential equations in free groups were studied initially by Lyndon and Schutzenberger and then by Comerford and Edmunds. Comerford and Edmunds showed that the problem of determining whether or not the class of quadratic exponential equations have solution is decidable, in finitely generated free groups. In this paper the author shows that for finite systems of quadratic exponential equations decidability passes, under certain hypotheses, from the factor groups to free products and one-relator products.
Harmonic Analysis On Exponential Solvable Lie Groups
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Author : Hidenori Fujiwara
language : en
Publisher: Springer
Release Date : 2014-12-05
Harmonic Analysis On Exponential Solvable Lie Groups written by Hidenori Fujiwara and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-05 with Mathematics categories.
This book is the first one that brings together recent results on the harmonic analysis of exponential solvable Lie groups. There still are many interesting open problems, and the book contributes to the future progress of this research field. As well, various related topics are presented to motivate young researchers. The orbit method invented by Kirillov is applied to study basic problems in the analysis on exponential solvable Lie groups. This method tells us that the unitary dual of these groups is realized as the space of their coadjoint orbits. This fact is established using the Mackey theory for induced representations, and that mechanism is explained first. One of the fundamental problems in the representation theory is the irreducible decomposition of induced or restricted representations. Therefore, these decompositions are studied in detail before proceeding to various related problems: the multiplicity formula, Plancherel formulas, intertwining operators, Frobenius reciprocity, and associated algebras of invariant differential operators. The main reasoning in the proof of the assertions made here is induction, and for this there are not many tools available. Thus a detailed analysis of the objects listed above is difficult even for exponential solvable Lie groups, and it is often assumed that G is nilpotent. To make the situation clearer and future development possible, many concrete examples are provided. Various topics presented in the nilpotent case still have to be studied for solvable Lie groups that are not nilpotent. They all present interesting and important but difficult problems, however, which should be addressed in the near future. Beyond the exponential case, holomorphically induced representations introduced by Auslander and Kostant are needed, and for that reason they are included in this book.
Lie Groups And Subsemigroups With Surjective Exponential Function
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Author : Karl Heinrich Hofmann
language : en
Publisher: Oxford University Press, USA
Release Date : 2014-09-11
Lie Groups And Subsemigroups With Surjective Exponential Function written by Karl Heinrich Hofmann and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-11 with Lie groups categories.
In the structure theory of real Lie groups, there is still information lacking about the exponential function. Most notably, there are no general necessary and sufficient conditions for the exponential function to be surjective. It is surprising that for subsemigroups of Lie groups, the question of the surjectivity of the exponential function can be answered. Under nature reductions setting aside the group part of the problem, subsemigroups of Lie groups with surjective exponential function are completely classified and explicitly constructed in this memoir. There are fewer than one would think and the proofs are harder than one would expect, requiring some innovative twists.
Exponential Organizations
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Author : Salim Ismail
language : en
Publisher: Diversion Books
Release Date : 2014-10-14
Exponential Organizations written by Salim Ismail and has been published by Diversion Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-14 with Business & Economics categories.
Frost & Sullivan's 2014 Growth, Innovation, and Leadership Book of the Year "EXPONENTIAL ORGANIZATIONS should be required reading for anyone interested in the ways exponential technologies are reinventing best practices in business." —Ray Kurzweil, Director of Engineering at Google In business, performance is key. In performance, how you organize can be the key to growth. In the past five years, the business world has seen the birth of a new breed of company—the Exponential Organization—that has revolutionized how a company can accelerate its growth by using technology. An ExO can eliminate the incremental, linear way traditional companies get bigger, leveraging assets like community, big data, algorithms, and new technology into achieving performance benchmarks ten times better than its peers. Three luminaries of the business world—Salim Ismail, Yuri van Geest, and Mike Malone—have researched this phenomenon and documented ten characteristics of Exponential Organizations. Here, in EXPONENTIAL ORGANIZATIONS, they walk the reader through how any company, from a startup to a multi-national, can become an ExO, streamline its performance, and grow to the next level. "EXPONENTIAL ORGANIZATIONS is the most pivotal book in its class. Salim examines the future of organizations and offers readers his insights on the concept of Exponential Organizations, because he himself embodies the strategy, structure, culture, processes, and systems of this new breed of company." —John Hagel, The Center for the Edge Chosen by Benjamin Netanyahu, Prime Minister of Israel, to be one of Bloomberg's Best Books of 2015
Lie Groups With Surjective Exponential Function
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Author : Michael Wüstner
language : en
Publisher:
Release Date : 2001
Lie Groups With Surjective Exponential Function written by Michael Wüstner and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Lie groups categories.
Exponential Organizations Why New Organizations Are Ten Times Better Faster And Cheaper Than Yours And What To Do About It
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Author : Salim Ismail
language : en
Publisher:
Release Date : 2014-10-14
Exponential Organizations Why New Organizations Are Ten Times Better Faster And Cheaper Than Yours And What To Do About It written by Salim Ismail and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-14 with Business & Economics categories.
Exponential Organizations already being hailed as the must-read" book of the year by tech industry insiders delivers groundbreaking analysis and insight, as well as how-to advice for companies of any size. It is poised to become this year s Lean Startup, a big business book about innovation."
Centroids Of Some Classes Of Exponential Groups
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Author : Sergey Lyutikov
language : en
Publisher:
Release Date : 1994
Centroids Of Some Classes Of Exponential Groups written by Sergey Lyutikov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with categories.
"In this thesis we study the structure and basic properties of centroids, or maximal rings of scalars, for various classes of exponential groups. The theorems obtained completely describe the structure of centroids for the important class of CSA-groups, which allows us to obtain as a corollary the corresponding results for torsion-free hyperbolic groups, groups acting freely on $ Lambda$-trees, and universally free groups. We also consider this problem for other classes of groups, such as nilpotent groups, and for free group constructions. General aspects of the theory of exponential groups are discussed in sufficient detail." --