The Schrödinger Model for the Minimal Representation of the Indefinite Orthogonal Group O(p, Q)

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Publisher :
ISBN 13 : 9781470406172
Total Pages : 132 pages
Book Rating : 4.4/5 (61 download)

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Book Synopsis The Schrödinger Model for the Minimal Representation of the Indefinite Orthogonal Group O(p, Q) by : Toshiyuki Kobayashi

Download or read book The Schrödinger Model for the Minimal Representation of the Indefinite Orthogonal Group O(p, Q) written by Toshiyuki Kobayashi and published by . This book was released on 2011 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quantum Theory, Groups and Representations

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Publisher : Springer
ISBN 13 : 3319646125
Total Pages : 659 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Quantum Theory, Groups and Representations by : Peter Woit

Download or read book Quantum Theory, Groups and Representations written by Peter Woit and published by Springer. This book was released on 2017-11-01 with total page 659 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text systematically presents the basics of quantum mechanics, emphasizing the role of Lie groups, Lie algebras, and their unitary representations. The mathematical structure of the subject is brought to the fore, intentionally avoiding significant overlap with material from standard physics courses in quantum mechanics and quantum field theory. The level of presentation is attractive to mathematics students looking to learn about both quantum mechanics and representation theory, while also appealing to physics students who would like to know more about the mathematics underlying the subject. This text showcases the numerous differences between typical mathematical and physical treatments of the subject. The latter portions of the book focus on central mathematical objects that occur in the Standard Model of particle physics, underlining the deep and intimate connections between mathematics and the physical world. While an elementary physics course of some kind would be helpful to the reader, no specific background in physics is assumed, making this book accessible to students with a grounding in multivariable calculus and linear algebra. Many exercises are provided to develop the reader's understanding of and facility in quantum-theoretical concepts and calculations.

Maths for Chemists

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Publisher : Royal Society of Chemistry
ISBN 13 : 1849733597
Total Pages : 405 pages
Book Rating : 4.8/5 (497 download)

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Book Synopsis Maths for Chemists by : Martin Cockett

Download or read book Maths for Chemists written by Martin Cockett and published by Royal Society of Chemistry. This book was released on 2012 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new edition of the combined Volumes I and II of the hugely successful "Tutorial Chemistry Texts: Maths for Chemists" provides an excellent resource for all undergraduate chemistry students.

Clifford Algebras and Spinors

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Publisher : Cambridge University Press
ISBN 13 : 0521005515
Total Pages : 352 pages
Book Rating : 4.5/5 (21 download)

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Book Synopsis Clifford Algebras and Spinors by : Pertti Lounesto

Download or read book Clifford Algebras and Spinors written by Pertti Lounesto and published by Cambridge University Press. This book was released on 2001-05-03 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second edition of a popular work offering a unique introduction to Clifford algebras and spinors. The beginning chapters could be read by undergraduates; vectors, complex numbers and quaternions are introduced with an eye on Clifford algebras. The next chapters will also interest physicists, and include treatments of the quantum mechanics of the electron, electromagnetism and special relativity with a flavour of Clifford algebras. This edition has three new chapters, including material on conformal invariance and a history of Clifford algebras.

Recent Trends in Nonlinear Analysis

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Publisher : Birkhäuser
ISBN 13 : 3034884117
Total Pages : 261 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Recent Trends in Nonlinear Analysis by : Jürgen Appell

Download or read book Recent Trends in Nonlinear Analysis written by Jürgen Appell and published by Birkhäuser. This book was released on 2012-12-06 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book contains a collection of 21 original research papers which report on recent developments in various fields of nonlinear analysis. The collection covers a large variety of topics ranging from abstract fields such as algebraic topology, functional analysis, operator theory, spectral theory, analysis on manifolds, partial differential equations, boundary value problems, geometry of Banach spaces, measure theory, variational calculus, and integral equations, to more application-oriented fields like control theory, numerical analysis, mathematical physics, mathematical economy, and financial mathematics. The book is addressed to all specialists interested in nonlinear functional analysis and its applications, but also to postgraduate students who want to get in touch with this important field of modern analysis. It is dedicated to Alfonso Vignoli who has essentially contributed to the field, on the occasion of his sixtieth birthday.

Lie Groups, Lie Algebras, and Representations

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Publisher : Springer
ISBN 13 : 3319134671
Total Pages : 452 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Lie Groups, Lie Algebras, and Representations by : Brian Hall

Download or read book Lie Groups, Lie Algebras, and Representations written by Brian Hall and published by Springer. This book was released on 2015-05-11 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook treats Lie groups, Lie algebras and their representations in an elementary but fully rigorous fashion requiring minimal prerequisites. In particular, the theory of matrix Lie groups and their Lie algebras is developed using only linear algebra, and more motivation and intuition for proofs is provided than in most classic texts on the subject. In addition to its accessible treatment of the basic theory of Lie groups and Lie algebras, the book is also noteworthy for including: a treatment of the Baker–Campbell–Hausdorff formula and its use in place of the Frobenius theorem to establish deeper results about the relationship between Lie groups and Lie algebras motivation for the machinery of roots, weights and the Weyl group via a concrete and detailed exposition of the representation theory of sl(3;C) an unconventional definition of semisimplicity that allows for a rapid development of the structure theory of semisimple Lie algebras a self-contained construction of the representations of compact groups, independent of Lie-algebraic arguments The second edition of Lie Groups, Lie Algebras, and Representations contains many substantial improvements and additions, among them: an entirely new part devoted to the structure and representation theory of compact Lie groups; a complete derivation of the main properties of root systems; the construction of finite-dimensional representations of semisimple Lie algebras has been elaborated; a treatment of universal enveloping algebras, including a proof of the Poincaré–Birkhoff–Witt theorem and the existence of Verma modules; complete proofs of the Weyl character formula, the Weyl dimension formula and the Kostant multiplicity formula. Review of the first edition: This is an excellent book. It deserves to, and undoubtedly will, become the standard text for early graduate courses in Lie group theory ... an important addition to the textbook literature ... it is highly recommended. — The Mathematical Gazette

Official Summary of Security Transactions and Holdings Reported to the Securities and Exchange Commission Under the Securities Exchange Act of 1934 and the Public Utility Holding Company Act of 1935

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Publisher :
ISBN 13 :
Total Pages : 264 pages
Book Rating : 4.:/5 (3 download)

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Book Synopsis Official Summary of Security Transactions and Holdings Reported to the Securities and Exchange Commission Under the Securities Exchange Act of 1934 and the Public Utility Holding Company Act of 1935 by :

Download or read book Official Summary of Security Transactions and Holdings Reported to the Securities and Exchange Commission Under the Securities Exchange Act of 1934 and the Public Utility Holding Company Act of 1935 written by and published by . This book was released on 1982 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Representation Theory and Complex Geometry

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Publisher : Birkhauser
ISBN 13 : 0817637923
Total Pages : 495 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Representation Theory and Complex Geometry by : Neil Chriss

Download or read book Representation Theory and Complex Geometry written by Neil Chriss and published by Birkhauser. This book was released on 1997 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides an overview of modern advances in representation theory from a geometric standpoint. The techniques developed are quite general and can be applied to other areas such as quantum groups, affine Lie groups, and quantum field theory.

Prospects in Mathematics

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821886205
Total Pages : 190 pages
Book Rating : 4.8/5 (862 download)

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Book Synopsis Prospects in Mathematics by : Hugo Rossi

Download or read book Prospects in Mathematics written by Hugo Rossi and published by American Mathematical Soc.. This book was released on with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: In celebration of Princeton University's 250th anniversary, the mathematics department held a conference entitled "Prospects in Mathematics". The purpose of the conference was to speculate on future directions of research in mathematics. This collection of articles provides a rich panorama of current mathematical activity in many research areas. From Gromov's lecture on quantitative differential topology to Witten's discussion of string theory, new ideas and techniques transfixed the audience of international mathematicians. The volume contains 11 articles by leading mathematicians, including historical presentations by J. Milnor and D. Spencer. It provides a guide to some of the most significant mathematical work of the past decade.

Mathematics for Chemists

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Publisher :
ISBN 13 : 9780820602523
Total Pages : 0 pages
Book Rating : 4.6/5 (25 download)

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Book Synopsis Mathematics for Chemists by : David Michael Hirst

Download or read book Mathematics for Chemists written by David Michael Hirst and published by . This book was released on 1979 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents - Preface - 1. REVIEW OF BASIC MATERIAL - FUNCTIONS, INEQUALITIES - 2. DIFFERENTIAL CALCULUS - 3. INTEGRATION - 4. FUNCTIONS OF MANY VARIABLES ; PARTIAL DIFFERENTIATION - 5. VECTORS - 6. SERIES, TAYLOR-MACLAURIN SERIES - 7. COMPLEX NUMBERS - 8. ORTHOGONAL FUNCTIONS AND FOURIER SERIES - 9. DETERMINANTS - 10. MATRICES - 11. DIFFERENTIAL EQUATIONS - 12. PARTIAL DIFFERENTIAL EQUATIONS - 13. NUMERICAL METHODS - 14. ELEMENTARY STATISTICS AND ERROR ANALYSIS - Problems for Solution - Bibliography - Answers to Problems - Index

Moduli of Abelian Varieties

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Publisher : Birkhäuser
ISBN 13 : 303488303X
Total Pages : 526 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Moduli of Abelian Varieties by : Gerard van der Geer

Download or read book Moduli of Abelian Varieties written by Gerard van der Geer and published by Birkhäuser. This book was released on 2012-12-06 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abelian varieties and their moduli are a topic of increasing importance in today`s mathematics, applications ranging from algebraic geometry and number theory to mathematical physics. This collection of 17 refereed articles originates from the third "Texel Conference" held in 1999. Leading experts discuss and study the structure of the moduli spaces of abelian varieties and related spaces, giving an excellent view of the state of the art in this field.

Mirror Symmetry I

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Publisher : American Mathematical Soc.
ISBN 13 : 082182743X
Total Pages : 460 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Mirror Symmetry I by : Shing-Tung Yau

Download or read book Mirror Symmetry I written by Shing-Tung Yau and published by American Mathematical Soc.. This book was released on 1998 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vol. 1 represents a new ed. of papers which were originally published in Essays on mirror manifolds (1992); supplemented by the additional volume: Mirror symmetry 2 which presents papers by both physicists and mathematicians. Mirror symmetry 1 (the 1st volume) constitutes the proceedings of the Mathematical Sciences Research Institute Workshop of 1991.

A History of Vector Analysis

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Publisher : Courier Corporation
ISBN 13 : 0486679101
Total Pages : 306 pages
Book Rating : 4.4/5 (866 download)

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Book Synopsis A History of Vector Analysis by : Michael J. Crowe

Download or read book A History of Vector Analysis written by Michael J. Crowe and published by Courier Corporation. This book was released on 1994-01-01 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Prize-winning study traces the rise of the vector concept from the discovery of complex numbers through the systems of hypercomplex numbers to the final acceptance around 1910 of the modern system of vector analysis.

Clifford Algebras and the Classical Groups

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Publisher : Cambridge University Press
ISBN 13 : 0521551773
Total Pages : 309 pages
Book Rating : 4.5/5 (215 download)

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Book Synopsis Clifford Algebras and the Classical Groups by : Ian R. Porteous

Download or read book Clifford Algebras and the Classical Groups written by Ian R. Porteous and published by Cambridge University Press. This book was released on 1995-10-05 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Clifford algebras of real quadratic forms and their complexifications are studied here in detail, and those parts which are immediately relevant to theoretical physics are seen in the proper broad context. Central to the work is the classification of the conjugation and reversion anti-involutions that arise naturally in the theory. It is of interest that all the classical groups play essential roles in this classification. Other features include detailed sections on conformal groups, the eight-dimensional non-associative Cayley algebra, its automorphism group, the exceptional Lie group G(subscript 2), and the triality automorphism of Spin 8. The book is designed to be suitable for the last year of an undergraduate course or the first year of a postgraduate course.

The Classical Groups

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Publisher : Princeton University Press
ISBN 13 : 1400883903
Total Pages : 336 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis The Classical Groups by : Hermann Weyl

Download or read book The Classical Groups written by Hermann Weyl and published by Princeton University Press. This book was released on 2016-06-02 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this renowned volume, Hermann Weyl discusses the symmetric, full linear, orthogonal, and symplectic groups and determines their different invariants and representations. Using basic concepts from algebra, he examines the various properties of the groups. Analysis and topology are used wherever appropriate. The book also covers topics such as matrix algebras, semigroups, commutators, and spinors, which are of great importance in understanding the group-theoretic structure of quantum mechanics. Hermann Weyl was among the greatest mathematicians of the twentieth century. He made fundamental contributions to most branches of mathematics, but he is best remembered as one of the major developers of group theory, a powerful formal method for analyzing abstract and physical systems in which symmetry is present. In The Classical Groups, his most important book, Weyl provided a detailed introduction to the development of group theory, and he did it in a way that motivated and entertained his readers. Departing from most theoretical mathematics books of the time, he introduced historical events and people as well as theorems and proofs. One learned not only about the theory of invariants but also when and where they were originated, and by whom. He once said of his writing, "My work always tried to unite the truth with the beautiful, but when I had to choose one or the other, I usually chose the beautiful." Weyl believed in the overall unity of mathematics and that it should be integrated into other fields. He had serious interest in modern physics, especially quantum mechanics, a field to which The Classical Groups has proved important, as it has to quantum chemistry and other fields. Among the five books Weyl published with Princeton, Algebraic Theory of Numbers inaugurated the Annals of Mathematics Studies book series, a crucial and enduring foundation of Princeton's mathematics list and the most distinguished book series in mathematics.

K-Theory for Operator Algebras

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Publisher : Springer Science & Business Media
ISBN 13 : 1461395720
Total Pages : 347 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis K-Theory for Operator Algebras by : Bruce Blackadar

Download or read book K-Theory for Operator Algebras written by Bruce Blackadar and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: K -Theory has revolutionized the study of operator algebras in the last few years. As the primary component of the subject of "noncommutative topol ogy," K -theory has opened vast new vistas within the structure theory of C* algebras, as well as leading to profound and unexpected applications of opera tor algebras to problems in geometry and topology. As a result, many topolo gists and operator algebraists have feverishly begun trying to learn each others' subjects, and it appears certain that these two branches of mathematics have become deeply and permanently intertwined. Despite the fact that the whole subject is only about a decade old, operator K -theory has now reached a state of relative stability. While there will undoubtedly be many more revolutionary developments and applications in the future, it appears the basic theory has more or less reached a "final form." But because of the newness of the theory, there has so far been no comprehensive treatment of the subject. It is the ambitious goal of these notes to fill this gap. We will develop the K -theory of Banach algebras, the theory of extensions of C*-algebras, and the operator K -theory of Kasparov from scratch to its most advanced aspects. We will not treat applications in detail; however, we will outline the most striking of the applications to date in a section at the end, as well as mentioning others at suitable points in the text.

Mathematical Papers

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Publisher :
ISBN 13 :
Total Pages : 776 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis Mathematical Papers by : William Kingdon Clifford

Download or read book Mathematical Papers written by William Kingdon Clifford and published by . This book was released on 1882 with total page 776 pages. Available in PDF, EPUB and Kindle. Book excerpt: