The De Sitter Ds Group And Its Representations
DOWNLOAD
Download The De Sitter Ds Group And Its Representations PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get The De Sitter Ds Group And Its Representations book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
The De Sitter Ds Group And Its Representations
DOWNLOAD
Author : Mohammad Enayati
language : en
Publisher: Springer Nature
Release Date : 2024-04-29
The De Sitter Ds Group And Its Representations written by Mohammad Enayati and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-29 with Science categories.
This Second Edition is a comprehensive update, integrating the latest research and theoretical advancements in the field of de Sitter (dS) group representations. Building on the success of the first edition, the book offers a more in-depth analysis of mathematical aspects, conceptual foundations, and practical implications related to the dS group, including its Lie manifold, Lie algebra, and co-adjoint orbits, viewing the latter as potential classical elementary systems within the context of dS spacetime. Additionally, the examination of unitary irreducible representations (UIRs) sheds light on the potential existence of quantum elementary systems within the dS spacetime framework. The authors emphasize consistency with Wigner's approach to elementary systems, incorporate Wigner's principles and exploring projective UIRs of the dS group, and provide a deeper insight into the nature of dS elementary systems. Particular attention is paid to: the “smooth” transition from classical to quantum theory, the physical content under vanishing curvature, and the thermal interpretation from a quantum perspective. The book also focuses on the physical interpretation of elementary systems in curved spacetimes, recognizing the limitations of traditional concepts derived from flat Minkowski spacetime and the Poincaré group.
The De Sitter Ds Group And Its Representations
DOWNLOAD
Author : Mohammad Enayati
language : en
Publisher:
Release Date : 2024
The De Sitter Ds Group And Its Representations written by Mohammad Enayati and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024 with Astrophysics categories.
This Second Edition is a comprehensive update, integrating the latest research and theoretical advancements in the field of de Sitter (dS) group representations. Building on the success of the first edition, the book offers a more in-depth analysis of mathematical aspects, conceptual foundations, and practical implications related to the dS group, including its Lie manifold, Lie algebra, and co-adjoint orbits, viewing the latter as potential classical elementary systems within the context of dS spacetime. Additionally, the examination of unitary irreducible representations (UIRs) sheds light on the potential existence of quantum elementary systems within the dS spacetime framework. The authors emphasize consistency with Wigner's approach to elementary systems, incorporate Wigner's principles and exploring projective UIRs of the dS group, and provide a deeper insight into the nature of dS elementary systems. Particular attention is paid to: the “smooth” transition from classical to quantum theory, the physical content under vanishing curvature, and the thermal interpretation from a quantum perspective. The book also focuses on the physical interpretation of elementary systems in curved spacetimes, recognizing the limitations of traditional concepts derived from flat Minkowski spacetime and the Poincaré group. In addition, this book: Delves into the mathematical intricacies of the de Sitter (dS) group and its unitary irreducible representations (UIRs) Explores the meticulous construction of dS elementary systems, aligned with the Wigner framework and UIRs Offers a unique grasp of inflationary and late-time cosmology in classical and quantum realms.
Categories And Representation Theory
DOWNLOAD
Author : Hideto Asashiba
language : en
Publisher: American Mathematical Society
Release Date : 2022-09-29
Categories And Representation Theory written by Hideto Asashiba and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-29 with Mathematics categories.
This book gives a self-contained account of applications of category theory to the theory of representations of algebras. Its main focus is on 2-categorical techniques, including 2-categorical covering theory. The book has few prerequisites beyond linear algebra and elementary ring theory, but familiarity with the basics of representations of quivers and of category theory will be helpful. In addition to providing an introduction to category theory, the book develops useful tools such as quivers, adjoints, string diagrams, and tensor products over a small category; gives an exposition of new advances such as a 2-categorical generalization of Cohen-Montgomery duality in pseudo-actions of a group; and develops the moderation level of categories, first proposed by Levy, to avoid the set theoretic paradox in category theory. The book is accessible to advanced undergraduate and graduate students who would like to study the representation theory of algebras, and it contains many exercises. It can be used as the textbook for an introductory course on the category theoretic approach with an emphasis on 2-categories, and as a reference for researchers in algebra interested in derived equivalences and covering theory.
Group 24
DOWNLOAD
Author : J.P Gazeau
language : en
Publisher: CRC Press
Release Date : 2003-11-30
Group 24 written by J.P Gazeau and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-11-30 with Mathematics categories.
One of the most enduring elements in theoretical physics has been group theory. GROUP 24: Physical and Mathematical Aspects of Symmetries provides an important selection of informative articles describing recent advances in the field. The applications of group theory presented in this book deal not only with the traditional fields of physics, but also include such disciplines as chemistry and biology. Awarded the Wigner Medal and the Weyl Prize, respectively, H.J. Lipkin and E. Frenkel begin the volume with their contributions. Plenary session contributions are represented by 18 longer articles, followed by nearly 200 shorter articles. The book also presents coherent states, wavelets, and applications and quantum group theory and integrable systems in two separate sections. As a record of an international meeting devoted to the physical and mathematical aspects of group theory, GROUP 24: Physical and Mathematical Aspects of Symmetries constitutes an essential reference for all researchers interested in various current developments related to the important concept of symmetry.
Lie Theory And Its Applications In Physics
DOWNLOAD
Author : Vladimir Dobrev
language : en
Publisher: Springer Nature
Release Date : 2025-02-27
Lie Theory And Its Applications In Physics written by Vladimir Dobrev and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-27 with Mathematics categories.
This volume presents modern trends in the area of symmetries and their applications based on contributions to the workshop "Lie Theory and Its Applications in Physics" held in Sofia (Bulgaria) in June 2023. Traditionally, Lie theory is a tool to build mathematical models for physical systems. Recently, the trend is towards geometrization of the mathematical description of physical systems and objects. A geometric approach to a system yields in general some notion of symmetry, which is very helpful in understanding its structure. Geometrization and symmetries are meant in their widest sense, i.e., representation theory, algebraic geometry, number theory, infinite-dimensional Lie algebras and groups, superalgebras and supergroups, groups and quantum groups, noncommutative geometry, symmetries of linear and nonlinear partial differential operators, special functions, and others. Furthermore, the necessary tools from functional analysis are included. This is a large interdisciplinary and interrelated field. The topics covered in this volume from the workshop represent the most modern trends in the field: Representation Theory, Symmetries in String Theories, Symmetries in Gravity Theories, Supergravity, Conformal Field Theory, Integrable Systems, Polylogarithms, and Supersymmetry. They also include Supersymmetric Calogero-type models, Quantum Groups, Deformations, Quantum Computing and Deep Learning, Entanglement, Applications to Quantum Theory, and Exceptional Quantum Algebra for the standard model of particle physics This book is suitable for a broad audience of mathematicians, mathematical physicists, and theoretical physicists, including researchers and graduate students interested in Lie Theory.
Higher Spin Gauge Theories
DOWNLOAD
Author : Nicolas Boulanger
language : en
Publisher: MDPI
Release Date : 2018-08-09
Higher Spin Gauge Theories written by Nicolas Boulanger and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-09 with Mathematics categories.
This book is a printed edition of the Special Issue "Higher Spin Gauge Theories" that was published in Universe
New Trends In Geometry Their Role In The Natural And Life Sciences
DOWNLOAD
Author : Luciano Boi
language : en
Publisher: World Scientific
Release Date : 2011-05-19
New Trends In Geometry Their Role In The Natural And Life Sciences written by Luciano Boi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-19 with Mathematics categories.
This volume focuses on the interactions between mathematics, physics, biology and neuroscience by exploring new geometrical and topological modelling in these fields. Among the highlights are the central roles played by multilevel and scale-change approaches in these disciplines.The integration of mathematics with physics, as well as molecular and cell biology and the neurosciences, will constitute the new frontier of 21st century science, where breakthroughs are more likely to span across traditional disciplines.
Physics Letters
DOWNLOAD
Author :
language : en
Publisher:
Release Date : 1999
Physics Letters written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Nuclear physics categories.
Applications And Q Extensions Of Hypergeometric Functions
DOWNLOAD
Author : Howard S. Cohl
language : en
Publisher: American Mathematical Society
Release Date : 2025-06-11
Applications And Q Extensions Of Hypergeometric Functions written by Howard S. Cohl and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-06-11 with Mathematics categories.
This is the second volume of a two-volume collection of recent research results related to hypergeometric functions. The first volume (Contemporary Mathematics, Volume 818) is titled Classical Hypergeometric Functions and Generalizations. This volume contains the proceedings of a minisymposium and two AMS special sessions in three conferences: Minisymposium on All Things Hypergeometric, $q$-series and Generalizations at the 16th International Symposium on Orthogonal Polynomials, Special Functions and Applications (OPSFA-16), June 13–17, 2022, Centre de Recherches Mathématiques, Montréal, Québec, Canada; AMS Special Session on Hypergeometric Functions and $q$-series at the 2022 AMS Fall Western Sectional Meeting, October 22–23, 2022, University of Utah, Salt Lake City, Utah; and the AMS Special Session on Hypergeometric Functions, $q$-series and Generalizations, at the 2023 AMS Spring Eastern Virtual Sectional Meeting, April 1–2, 2023. This book provides a sampling of recent research on applications of classical hypergeometric and related special functions to problems in mathematical physics and elsewhere, and on $q$-extensions of hypergeometric functions and other topics in $q$-calculus. The problems in mathematical physics include the explicit integration of the stationary Schrödinger equation with many potentials, and the computation of the gravitational potential of an ellipsoidal mass in terms of elliptic integrals. The $q$-calculus topics include a study of Ramanujan's $q$-continued fractions, new $q$-identities, and important limits of basic hypergeometric orthogonal polynomials. All research articles come with extensive bibliographies and can serve as entry points to the current literature.
Cosmology And Gravitation
DOWNLOAD
Author : Mário Novello
language : en
Publisher: American Institute of Physics
Release Date : 2007-07-03
Cosmology And Gravitation written by Mário Novello and has been published by American Institute of Physics this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-07-03 with Science categories.
The proceedings from the 12th Brazilian School of Cosmology and Gravitation offer an up-to-date series of lectures covering issues at the forefront of cosmology, gravitation, and astrophysics. Of particular note are the interesting results presented by Belinski regarding the absence of black hole evaporation. In addition, Riffini offers an insightful article you’ll want to read that explores the origin of gamma-0 ray bursts.