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Groups and Symmetries

Groups and Symmetries PDF Author: John P. Harnad
Publisher: American Mathematical Soc.
ISBN: 0821870424
Category : Mathematics
Languages : en
Pages : 366

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Book Description

Groups and Symmetries

Groups and Symmetries PDF Author: John P. Harnad
Publisher: American Mathematical Soc.
ISBN: 0821870424
Category : Mathematics
Languages : en
Pages : 366

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Book Description


Theory Of Groups And Symmetries: Finite Groups, Lie Groups, And Lie Algebras

Theory Of Groups And Symmetries: Finite Groups, Lie Groups, And Lie Algebras PDF Author: Rubakov Valery A
Publisher: World Scientific
ISBN: 9813236876
Category : Science
Languages : en
Pages : 476

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Book Description
The book presents the main approaches in study of algebraic structures of symmetries in models of theoretical and mathematical physics, namely groups and Lie algebras and their deformations. It covers the commonly encountered quantum groups (including Yangians). The second main goal of the book is to present a differential geometry of coset spaces that is actively used in investigations of models of quantum field theory, gravity and statistical physics. The third goal is to explain the main ideas about the theory of conformal symmetries, which is the basis of the AdS/CFT correspondence. The theory of groups and symmetries is an important part of theoretical physics. In elementary particle physics, cosmology and related fields, the key role is played by Lie groups and algebras corresponding to continuous symmetries. For example, relativistic physics is based on the Lorentz and Poincare groups, and the modern theory of elementary particles — the Standard Model — is based on gauge (local) symmetry with the gauge group SU(3) x SU(2) x U(1). This book presents constructions and results of a general nature, along with numerous concrete examples that have direct applications in modern theoretical and mathematical physics. Contents: Preface Groups and Transformations Lie Groups Lie Algebras Representations of Groups and Lie Algebras Compact Lie Algebras Root Systems and Classification of Simple Lie Algebras Homogeneous Spaces and their Geometry Solutions to Selected Problems Selected Bibliography References Index Readership: Graduate students and researchers in theoretical physics and mathematical physics. Keywords: Lie Groups;Lie Algebras;Representation Theory;Conformal Symmetries;Yangians;Coset Spaces;Differential Geometry;Casimir Operators;Root Systems;AdS Spaces;Lobachevskian GeometryReview:0

Groups and Symmetry

Groups and Symmetry PDF Author: Mark A. Armstrong
Publisher: Springer Science & Business Media
ISBN: 1475740344
Category : Mathematics
Languages : en
Pages : 187

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Book Description
This is a gentle introduction to the vocabulary and many of the highlights of elementary group theory. Written in an informal style, the material is divided into short sections, each of which deals with an important result or a new idea. Includes more than 300 exercises and approximately 60 illustrations.

Groups and Symmetry

Groups and Symmetry PDF Author: David W. Farmer
Publisher: American Mathematical Soc.
ISBN: 9780821872642
Category : Mathematics
Languages : en
Pages : 102

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Book Description
Mathematics is discovered by looking at examples, noticing patterns, making conjectures, and testing those conjectures. Once discovered, the final results get organized and put in textbooks. The details and the excitement of the discovery are lost. This book introduces the reader to the excitement of the original discovery. By means of a wide variety of tasks, readers are led to find interesting examples, notice patterns, devise rules to explain the patterns, and discover mathematics for themselves. The subject studied here is the mathematics behind the idea of symmetry, but the methods and ideas apply to all of mathematics. The only prerequisites are enthusiasm and a knowledge of basic high-school math. The book is only a guide. It will start you off in the right direction and bring you back if you stray too far. The excitement and the discovery are left to you.

Symmetries and Groups in Signal Processing

Symmetries and Groups in Signal Processing PDF Author: Virendra P. Sinha
Publisher: Springer Science & Business Media
ISBN: 9048194342
Category : Technology & Engineering
Languages : en
Pages : 160

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Book Description
Symmetries and Groups in Signal Processing: An Introduction deals with the subject of symmetry, and with its place and role in modern signal processing. In the sciences, symmetry considerations and related group theoretic techniques have had a place of central importance since the early twenties. In engineering, however, a matching recognition of their power is a relatively recent development. Despite that, the related literature, in the form of journal papers and research monographs, has grown enormously. A proper understanding of the concepts that have emerged in the process requires a mathematical background that goes beyond what is traditionally covered in an engineering undergraduate curriculum. Admittedly, there is a wide selection of excellent introductory textbooks on the subject of symmetry and group theory. But they are all primarily addressed to students of the sciences and mathematics, or to students of courses in mathematics. Addressed to students with an engineering background, this book is meant to help bridge the gap.

Groups and Symmetry

Groups and Symmetry PDF Author: Mark A. Armstrong
Publisher: Springer Science & Business Media
ISBN: 9780387966755
Category : Mathematics
Languages : en
Pages : 187

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Book Description
This is a gentle introduction to the vocabulary and many of the highlights of elementary group theory. Written in an informal style, the material is divided into short sections, each of which deals with an important result or a new idea. Includes more than 300 exercises and approximately 60 illustrations.

Symmetries in Physics

Symmetries in Physics PDF Author: Wolfgang Ludwig
Publisher: Springer Science & Business Media
ISBN: 3642799779
Category : Science
Languages : en
Pages : 473

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Book Description
Symmetries in Physics presents the fundamental theories of symmetry, together with many examples of applications taken from several different branches of physics. Emphasis is placed on the theory of group representations and on the powerful method of projection operators. The excercises are intended to stimulate readers to apply the techniques demonstrated in the text.

Atomic & Molecular Symmetry Groups and Chemistry

Atomic & Molecular Symmetry Groups and Chemistry PDF Author: S.C. Rakshit
Publisher: CRC Press
ISBN: 1000441377
Category : Science
Languages : en
Pages : 424

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Book Description
Atomic Symmetry Groups, being continuous groups, are just a fallout of the Lie Groups and Lie Algebras. Atoms are structurally simpler than molecules but atomic symmetry is more complex than molecular symmetry. In quantum mechanics we study atoms first and then the molecules. In symmetry studies, we do just the reverse. In this book, apart from theories, the description of both the symmetry groups – atomic and molecular, are attended with adequate applications. Please note: Taylor & Francis does not sell or distribute the Hardback in India, Pakistan, Nepal, Bhutan, Bangladesh and Sri Lanka.

Symmetry Groups and Their Applications

Symmetry Groups and Their Applications PDF Author:
Publisher: Academic Press
ISBN: 9780080873657
Category : Mathematics
Languages : en
Pages : 431

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Book Description
Symmetry Groups and Their Applications

Symmetries and Groups in Contemporary Physics

Symmetries and Groups in Contemporary Physics PDF Author: Chengming Bai
Publisher: World Scientific
ISBN: 9814518557
Category : Electronic books
Languages : en
Pages : 665

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Book Description
This volume focuses on developments in the field of group theory in its broadest sense and is of interest to theoretical and experimental physicists, mathematicians, and scientists in related disciplines who are interested in the latest methods and applications. In an increasingly ultra-specialized world, this volume will demonstrate the interchange of ideas and methods in theoretical and mathematical physics.