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Author : Jean Dieudonné
Publisher : American Mathematical Soc.
ISBN 13 : 0821816926
Total Pages : 65 pages
Book Rating : 4.8/5 (218 download)
Download or read book Special Functions and Linear Representations of Lie Groups written by Jean Dieudonné and published by American Mathematical Soc.. This book was released on 1980 with total page 65 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Naum I︠A︡kovlevich Vilenkin
Publisher : Springer Science & Business Media
ISBN 13 : 9780792314660
Total Pages : 650 pages
Book Rating : 4.3/5 (146 download)
Download or read book Representation of Lie Groups and Special Functions written by Naum I︠A︡kovlevich Vilenkin and published by Springer Science & Business Media. This book was released on 1991-11-30 with total page 650 pages. Available in PDF, EPUB and Kindle. Book excerpt: One service mathematici has rendered the 'Et moi, ... si j'avait IU comment en revenir. je n'y serais point alle.' human race. It has put common sense back Jules Verne where it belong., on the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense', Eric T. Bell able to do something with it. O. H eaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other pans and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'el;re of this series."
Author : Jean Dieudonn
Publisher : American Mathematical Soc.
ISBN 13 : 9780821888872
Total Pages : 68 pages
Book Rating : 4.8/5 (888 download)
Download or read book Special Functions and Linear Representations of Lie Groups written by Jean Dieudonn and published by American Mathematical Soc.. This book was released on 1980-12-31 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : N.Ja. Vilenkin
Publisher : Springer Science & Business Media
ISBN 13 : 940172881X
Total Pages : 651 pages
Book Rating : 4.4/5 (17 download)
Download or read book Representation of Lie Groups and Special Functions written by N.Ja. Vilenkin and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 651 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the last of three major volumes which present a comprehensive treatment of the theory of the main classes of special functions from the point of view of the theory of group representations. This volume deals with q-analogs of special functions, quantum groups and algebras (including Hopf algebras), and (representations of) semi-simple Lie groups. Also treated are special functions of a matrix argument, representations in the Gel'fand-Tsetlin basis, and, finally, modular forms, theta-functions and affine Lie algebras. The volume builds upon results of the previous two volumes, and presents many new results. Subscribers to the complete set of three volumes will be entitled to a discount of 15%.
Author : N.Ja. Vilenkin
Publisher : Springer Science & Business Media
ISBN 13 : 9401728852
Total Pages : 518 pages
Book Rating : 4.4/5 (17 download)
Download or read book Representation of Lie Groups and Special Functions written by N.Ja. Vilenkin and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1991-1993 our three-volume book "Representation of Lie Groups and Spe cial Functions" was published. When we started to write that book (in 1983), editors of "Kluwer Academic Publishers" expressed their wish for the book to be of encyclopaedic type on the subject. Interrelations between representations of Lie groups and special functions are very wide. This width can be explained by existence of different types of Lie groups and by richness of the theory of their rep resentations. This is why the book, mentioned above, spread to three big volumes. Influence of representations of Lie groups and Lie algebras upon the theory of special functions is lasting. This theory is developing further and methods of the representation theory are of great importance in this development. When the book "Representation of Lie Groups and Special Functions" ,vol. 1-3, was under preparation, new directions of the theory of special functions, connected with group representations, appeared. New important results were discovered in the traditional directions. This impelled us to write a continuation of our three-volume book on relationship between representations and special functions. The result of our further work is the present book. The three-volume book, published before, was devoted mainly to studying classical special functions and orthogonal polynomials by means of matrix elements, Clebsch-Gordan and Racah coefficients of group representations and to generaliza tions of classical special functions that were dictated by matrix elements of repre sentations.
Author : Miller
Publisher : Academic Press
ISBN 13 : 0080955517
Total Pages : 357 pages
Book Rating : 4.0/5 (89 download)
Download or read book Lie Theory and Special Functions written by Miller and published by Academic Press. This book was released on 1968 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lie Theory and Special Functions
Author : Jean Dieudonné
Publisher :
ISBN 13 :
Total Pages : 59 pages
Book Rating : 4.:/5 (64 download)
Download or read book Special Function and Linear Representation of Lie Groups written by Jean Dieudonné and published by . This book was released on 1980 with total page 59 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : N.Ja. Vilenkin
Publisher : Springer Science & Business Media
ISBN 13 : 9401728836
Total Pages : 629 pages
Book Rating : 4.4/5 (17 download)
Download or read book Representation of Lie Groups and Special Functions written by N.Ja. Vilenkin and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 629 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second of three major volumes which present a comprehensive treatment of the theory of the main classes of special functions from the point of view of the theory of group representations. This volume deals with the properties of special functions and orthogonal polynomials (Legendre, Gegenbauer, Jacobi, Laguerre, Bessel and others) which are related to the class 1 representations of various groups. The tree method for the construction of bases for representation spaces is given. `Continuous' bases in the spaces of functions on hyperboloids and cones and corresponding Poisson kernels are found. Also considered are the properties of the q-analogs of classical orthogonal polynomials, related to representations of the Chevalley groups and of special functions connected with fields of p-adic numbers. Much of the material included appears in book form for the first time and many of the topics are presented in a novel way. This volume will be of great interest to specialists in group representations, special functions, differential equations with partial derivatives and harmonic anlysis. Subscribers to the complete set of three volumes will be entitled to a discount of 15%.
Author : Willard Miller
Publisher : American Mathematical Soc.
ISBN 13 : 0821812505
Total Pages : 51 pages
Book Rating : 4.8/5 (218 download)
Download or read book On Lie Algebras and Some Special Functions of Mathematical Physics written by Willard Miller and published by American Mathematical Soc.. This book was released on 1964 with total page 51 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : E.B. Vinberg
Publisher : Birkhäuser
ISBN 13 : 3034892748
Total Pages : 151 pages
Book Rating : 4.0/5 (348 download)
Download or read book Linear Representations of Groups written by E.B. Vinberg and published by Birkhäuser. This book was released on 2012-12-06 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an exposition of the fundamentals of the theory of linear representations of finite and compact groups, as well as elements of the the ory of linear representations of Lie groups. As an application we derive the Laplace spherical functions. The book is based on lectures that I delivered in the framework of the experimental program at the Mathematics-Mechanics Faculty of Moscow State University and at the Faculty of Professional Skill Improvement. My aim has been to give as simple and detailed an account as possible of the problems considered. The book therefore makes no claim to completeness. Also, it can in no way give a representative picture of the modern state of the field under study as does, for example, the monograph of A. A. Kirillov [3]. For a more complete acquaintance with the theory of representations of finite groups we recommend the book of C. W. Curtis and I. Reiner [2], and for the theory of representations of Lie groups, that of M. A. Naimark [6]. Introduction The theory of linear representations of groups is one of the most widely ap plied branches of algebra. Practically every time that groups are encountered, their linear representations play an important role. In the theory of groups itself, linear representations are an irreplaceable source of examples and a tool for investigating groups. In the introduction we discuss some examples and en route we introduce a number of notions of representation theory. O.
Author : Anatoliĭ Moiseevich Vershik
Publisher : CRC Press
ISBN 13 : 9782881246784
Total Pages : 576 pages
Book Rating : 4.2/5 (467 download)
Download or read book Representation of Lie Groups and Related Topics written by Anatoliĭ Moiseevich Vershik and published by CRC Press. This book was released on 1990 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: Eight papers provide mature readers with careful review of progress (through about 1983) toward the creation of a theory of the representations of infinite-dimensional Lie groups and algebras, and of some related topics. Recent developments in physics have provided major impetus for the development of such a theory, and the volume will be of special interest to mathematical physicists (quantum field theorists). Translated from the Russian edition of unstated date, and beautifully produced (which--at the price--it should be!). Book club price, $118. (NW) Annotation copyrighted by Book News, Inc., Portland, OR
Author : Naum Ja Vilenkin
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (632 download)
Download or read book Representation of Lie Groups and Special Functions written by Naum Ja Vilenkin and published by . This book was released on 1991 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : James D. Talman
Publisher :
ISBN 13 :
Total Pages : 280 pages
Book Rating : 4.3/5 (91 download)
Download or read book Special Functions written by James D. Talman and published by . This book was released on 1968 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: In theoretical physics, routine use is made of many properties, such as recurrence relations and addition theorems, of the special functions of mathematical physics. These properties are for the most part classical, and their derivations are usually based on the methods of classical analysis. The purpose of this book is to show how these functions are also related to the theory of group representations and to derive their important properties from this theory. This approach elucidates the geometric background for the existence of the relations among the special functions. Moreover, the derivations may be more rationally motivated than are the usual complicated manipulations of power series, integral representations, and so on. I hope that the reader may find in this book reasonably simple derivations of many of the relations commonly used in theoretical physics for which the proofs may otherwise be somewhat unfamiliar. In order that the book be fairly self-contained, approximately the first third delves into a preliminary discussion of such topics as Lie groups, group representations, and so on. The remaining chapters are devoted to various groups, and the special functions are discussed in conjunction with the group with which it is associated. Because of the inclusion of the introductory material, the only prerequisite is a reasonable knowledge of linear algebra. The original impetus for the writing of this book was provided by a lecture course given by Professor Eugene P. Wigner a number of years ago. I am greatly indebted to Professor Wigner for his suggestion that I pursue the subject of the lectures further and for his continued friendly interest and advice in the work.-I wish to thank Dr. Trevor Luke for carefully checking the manuscript. I also wish to thank my wife, whose encouragement contributed greatly to the writing of the book.
Author : S C Bagchi
Publisher : Universities Press
ISBN 13 : 9788173712845
Total Pages : 110 pages
Book Rating : 4.7/5 (128 download)
Download or read book A First Course on Representation Theory and Linear Lie Groups written by S C Bagchi and published by Universities Press. This book was released on 2000 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to serve as a textbook for a one-semester course for M.Sc/M.Phil. Students at Indian universities. Students of theoretical physics will also find this exposition useful. The general theory of Lie groups appears formidable to an M.Sc./M.Phil. student.
Author : Ėrnest Borisovich Vinberg
Publisher : Birkhauser
ISBN 13 : 9780817622886
Total Pages : 146 pages
Book Rating : 4.6/5 (228 download)
Download or read book Linear Representations of Groups written by Ėrnest Borisovich Vinberg and published by Birkhauser. This book was released on 1989 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Brian Hall
Publisher : Springer
ISBN 13 : 3319134671
Total Pages : 452 pages
Book Rating : 4.3/5 (191 download)
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
Author : Naum I︠A︡kovlevich Vilenkin
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (91 download)
Download or read book Representation of Lie Groups and Special Functions: Class I representations, special functions, and integral transforms written by Naum I︠A︡kovlevich Vilenkin and published by . This book was released on 1991 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
