Orbital Integrals On Reductive Lie Groups And Their Algebras
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Orbital Integrals On Reductive Lie Groups And Their Algebras
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Author : Francisco Bulnes
language : en
Publisher: BoD – Books on Demand
Release Date : 2013-03-06
Orbital Integrals On Reductive Lie Groups And Their Algebras written by Francisco Bulnes and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-06 with Mathematics categories.
The purpose is to present a complete course on global analysis topics and establish some orbital applications of the integration on topological groups and their algebras to harmonic analysis and induced representations in representation theory.
A Tribute To The Iconoclastic Mathematician Dr Francisco Bulnes
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Author : Helen Thrift
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2023-10-30
A Tribute To The Iconoclastic Mathematician Dr Francisco Bulnes written by Helen Thrift and has been published by Cambridge Scholars Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-30 with Mathematics categories.
This book is a tribute to a universal mathematician, whose contributions to pure and applied mathematics in various fields, such as algebraic geometry, mathematical physics, infinite Lie theory, astrophysics, theoretical physics, nanotechnology and electronics, are relevant for the creation of future technologies and have facilitated a greater understanding of the universe. The book contains various anecdotes of the academic experiences of Dr Francisco Bulnes, and analyses of some of the contributions he made to his fields of study. The book will be of great interest to PhD students, providing them with motivation and inspiration for their own research projects, as well as other researchers.
Recent Studies Inperturbation Theory
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Author : Dimo Uzunov
language : en
Publisher: BoD – Books on Demand
Release Date : 2017-06-14
Recent Studies Inperturbation Theory written by Dimo Uzunov and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-14 with Technology & Engineering categories.
The book contains seven chapters written by noted experts and young researchers who present their recent studies of both pure mathematical problems of perturbation theories and application of perturbation methods to the study of the important topic in physics, for example, renormalization group theory and applications to basic models in theoretical physics (Y. Takashi), the quantum gravity and its detection and measurement (F. Bulnes), atom-photon interactions (E. G. Thrapsaniotis), treatment of spectra and radiation characteristics by relativistic perturbation theory (A. V. Glushkov et al), and Green's function theory and some applications (Jing Huang). The pure mathematical issues are related to the problem of generalization of the boundary layer function method for bisingularly perturbed differential equations (K. Alymkulov and D. A. Torsunov) and to the development of new homotopy asymptotic methods and some of their applications (Baojian Hong).
Integral Geometry Methods In The Geometrical Langlands Program
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Author : Prof. Dr. Francisco Bulnes
language : en
Publisher: Scientific Research Publishing, Inc. USA
Release Date : 2016-06-08
Integral Geometry Methods In The Geometrical Langlands Program written by Prof. Dr. Francisco Bulnes and has been published by Scientific Research Publishing, Inc. USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-08 with Mathematics categories.
The book is divided on the studied aspects in integral geometry and that are of interest in field theory, at least, to the solution or obtaining of integrals to the field equations corresponding to the moduli stacks planted. In the chapters 1, 2, 3, 4, are exposed the generalizations of the Penrose transforms with a good D-modules theory in the derived categories context and their deformations. In the chapters 5, and 6, are exposed and discussed the different classification problems and their implications in the differential operators to the field equations. Finally, in the chapters 7, and 8 are exposed the aspects of the geometrical ramification of field ramification going behold the holomorphicity. In the end of the book are included several research exercises that can be discussed and exposed inside postgraduate courses in derived geometry or related as derived categories or categories on commutative and non-commutative rings.
Selected Topics In Applications Of Quantum Mechanics
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Author : Mohammad Reza Pahlavani
language : en
Publisher: BoD – Books on Demand
Release Date : 2015-05-13
Selected Topics In Applications Of Quantum Mechanics written by Mohammad Reza Pahlavani and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-13 with Science categories.
This book has two sections. The section Selected Topics in Applications of Quantum Mechanics provides seven chapters about different applications of quantum mechanics in science and technology. The section Selected Topics in Foundations of Quantum Mechanics provides seven chapters about the foundations of quantum mechanics. This book is written by a community of expert scientists from different research institutes and universities from all over the world. Without a doubt, quantum mechanics is the greatest discovery of the 20th century. Therefore, its history and foundations are of great interest to scientists and students. This book covers some of the applications of quantum mechanics in nuclear physics, medical science, information technology, atomic physics and material science, as well as selected topics of quantum mechanics through different bases and ideas about quantum mechanics. The basic idea of the publication of this book is to make scientists and researchers, as well as graduate students, familiar with the foundations of quantum mechanics.
An Introduction To Lie Groups And Lie Algebras
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Author : Alexander Kirillov, Jr
language : en
Publisher: Cambridge University Press
Release Date : 2017-06-30
An Introduction To Lie Groups And Lie Algebras written by Alexander Kirillov, Jr and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-30 with Mathematics categories.
This classic graduate text focuses on the study of semisimple Lie algebras, developing the necessary theory along the way. The material covered ranges from basic definitions of Lie groups to the classification of finite-dimensional representations of semisimple Lie algebras. Lie theory, in its own right, has become regarded as a classical branch of mathematics. Written in an informal style, this is a contemporary introduction to the subject which emphasizes the main concepts of the proofs and outlines the necessary technical details, allowing the material to be conveyed concisely. Based on a lecture course given by the author at the State University of New York at Stony Brook, the book includes numerous exercises and worked examples and is ideal for graduate courses on Lie groups and Lie algebras.
On The Langlands Program Endoscopy And Beyond
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Author : Wee Teck Gan
language : en
Publisher: World Scientific
Release Date : 2024-04-15
On The Langlands Program Endoscopy And Beyond written by Wee Teck Gan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-15 with Mathematics categories.
This is a collection of lecture notes from the minicourses in the December 2018 Langlands Workshop: Endoscopy and Beyond. The volume combines seven introductory chapters on trace formulas, local Arthur packets, and beyond endoscopy. It aims to introduce the endoscopy classification via a basic example of the trace formula for SL(2), explore the more refined questions on the structure of Arthur packets, and look beyond endoscopy following the suggestions of Langlands, Braverman-Kazhdan, Ngo, and Altuğ. The book is a helpful reference for undergraduates, postgraduates, and researchers.
Harmonic Analysis On Reductive P Adic Groups
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Author : Robert S. Doran, Paul J. Sally, Jr., and Loren Spice
language : en
Publisher: American Mathematical Soc.
Release Date : 2011
Harmonic Analysis On Reductive P Adic Groups written by Robert S. Doran, Paul J. Sally, Jr., and Loren Spice 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 2011 with Harmonic analysis categories.
Real Reductive Groups I
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Author : Nolan R. Wallach
language : en
Publisher: Academic Press
Release Date : 1988-03-01
Real Reductive Groups I written by Nolan R. Wallach and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-03-01 with Mathematics categories.
Real Reductive Groups I is an introduction to the representation theory of real reductive groups. It is based on courses that the author has given at Rutgers for the past 15 years. It also had its genesis in an attempt of the author to complete a manuscript of the lectures that he gave at the CBMS regional conference at The University of North Carolina at Chapel Hill in June of 1981. This book comprises 10 chapters and begins with some background material as an introduction. The following chapters then discuss elementary representation theory; real reductive groups; the basic theory of (g, K)-modules; the asymptotic behavior of matrix coefficients; The Langlands Classification; a construction of the fundamental series; cusp forms on G; character theory; and unitary representations and (g, K)-cohomology. This book will be of interest to mathematicians and statisticians.
Harmonic Analysis The Trace Formula And Shimura Varieties
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Author : Clay Mathematics Institute. Summer School
language : en
Publisher: American Mathematical Soc.
Release Date : 2005
Harmonic Analysis The Trace Formula And Shimura Varieties written by Clay Mathematics Institute. Summer School 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 2005 with Mathematics categories.
Langlands program proposes fundamental relations that tie arithmetic information from number theory and algebraic geometry with analytic information from harmonic analysis and group representations. This title intends to provide an entry point into this exciting and challenging field.