Read Books Online and Download eBooks, EPub, PDF, Mobi, Kindle, Text Full Free.
Download On Linear Representations Of Affine Groups full books in PDF, epub, and Kindle. Read online On Linear Representations Of Affine Groups ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Author : Manfred Bernd Wischnewsky
Publisher :
ISBN 13 :
Total Pages : 35 pages
Book Rating : 4.:/5 (631 download)
Download or read book On linear representations of affine groups I written by Manfred Bernd Wischnewsky and published by . This book was released on 1975 with total page 35 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Universität München. Mathematisches Institut
Publisher :
ISBN 13 :
Total Pages : 35 pages
Book Rating : 4.:/5 (63 download)
Download or read book On Linear Representations of Affine Group 1 written by Universität München. Mathematisches Institut and published by . This book was released on 1975 with total page 35 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Manfred Bernd Wischnewsky
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (17 download)
Download or read book On linear representation of affine groups written by Manfred Bernd Wischnewsky and published by . This book was released on 1975 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Manfred Bernd Wischnewsky
Publisher :
ISBN 13 :
Total Pages : 50 pages
Book Rating : 4.X/5 (1 download)
Download or read book On Linear Representations of Affine Groups written by Manfred Bernd Wischnewsky and published by . This book was released on 1975 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : W.C. Waterhouse
Publisher : Springer Science & Business Media
ISBN 13 : 1461262178
Total Pages : 167 pages
Book Rating : 4.4/5 (612 download)
Download or read book Introduction to Affine Group Schemes written by W.C. Waterhouse and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ah Love! Could you and I with Him consl?ire To grasp this sorry Scheme of things entIre' KHAYYAM People investigating algebraic groups have studied the same objects in many different guises. My first goal thus has been to take three different viewpoints and demonstrate how they offer complementary intuitive insight into the subject. In Part I we begin with a functorial idea, discussing some familiar processes for constructing groups. These turn out to be equivalent to the ring-theoretic objects called Hopf algebras, with which we can then con struct new examples. Study of their representations shows that they are closely related to groups of matrices, and closed sets in matrix space give us a geometric picture of some of the objects involved. This interplay of methods continues as we turn to specific results. In Part II, a geometric idea (connectedness) and one from classical matrix theory (Jordan decomposition) blend with the study of separable algebras. In Part III, a notion of differential prompted by the theory of Lie groups is used to prove the absence of nilpotents in certain Hopf algebras. The ring-theoretic work on faithful flatness in Part IV turns out to give the true explanation for the behavior of quotient group functors. Finally, the material is connected with other parts of algebra in Part V, which shows how twisted forms of any algebraic structure are governed by its automorphism group scheme.
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 : Jean-Pierre Serre
Publisher : Springer Science & Business Media
ISBN 13 : 1468494589
Total Pages : 178 pages
Book Rating : 4.4/5 (684 download)
Download or read book Linear Representations of Finite Groups written by Jean-Pierre Serre and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of three parts, rather different in level and purpose. The first part was originally written for quantum chemists. It describes the correspondence, due to Frobenius, between linear representations and characters. The second part is a course given in 1966 to second-year students of l’Ecole Normale. It completes in a certain sense the first part. The third part is an introduction to Brauer Theory.
Author : Richard S. Elman
Publisher : American Mathematical Soc.
ISBN 13 : 0821851616
Total Pages : 215 pages
Book Rating : 4.8/5 (218 download)
Download or read book Linear Algebraic Groups and Their Representations written by Richard S. Elman and published by American Mathematical Soc.. This book was released on 1993 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: * Brings together a wide variety of themes under a single unifying perspective The proceedings of a conference on Linear algebraic Groups and their Representations - the text gets to grips with the fundamental nature of this subject and its interaction with a wide variety of active areas in mathematics and physics.
Author : Jens Carsten Jantzen
Publisher : American Mathematical Soc.
ISBN 13 : 082184377X
Total Pages : 594 pages
Book Rating : 4.8/5 (218 download)
Download or read book Representations of Algebraic Groups written by Jens Carsten Jantzen and published by American Mathematical Soc.. This book was released on 2003 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gives an introduction to the general theory of representations of algebraic group schemes. This title deals with representation theory of reductive algebraic groups and includes topics such as the description of simple modules, vanishing theorems, Borel-Bott-Weil theorem and Weyl's character formula, and Schubert schemes and lne bundles on them.
Author : A. V. Zelevinsky
Publisher : Springer
ISBN 13 : 3540387110
Total Pages : 189 pages
Book Rating : 4.5/5 (43 download)
Download or read book Representations of Finite Classical Groups written by A. V. Zelevinsky and published by Springer. This book was released on 2006-11-14 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Eli Adam Siegel
Publisher :
ISBN 13 :
Total Pages : 244 pages
Book Rating : 4.:/5 (89 download)
Download or read book The Representations of a Hecke Algebra of the Affine Group Over a Finite Field written by Eli Adam Siegel and published by . This book was released on 1990 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 : D. G. Northcott
Publisher : Cambridge University Press
ISBN 13 : 052122909X
Total Pages : 297 pages
Book Rating : 4.5/5 (212 download)
Download or read book Affine Sets and Affine Groups written by D. G. Northcott and published by Cambridge University Press. This book was released on 1980-05-08 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: In these notes, first published in 1980, Professor Northcott provides a self-contained introduction to the theory of affine algebraic groups for mathematicians with a basic knowledge of communicative algebra and field theory. The book divides into two parts. The first four chapters contain all the geometry needed for the second half of the book which deals with affine groups. Alternatively the first part provides a sure introduction to the foundations of algebraic geometry. Any affine group has an associated Lie algebra. In the last two chapters, the author studies these algebras and shows how, in certain important cases, their properties can be transferred back to the groups from which they arose. These notes provide a clear and carefully written introduction to algebraic geometry and algebraic groups.
Author : Ernest B. Vinberg
Publisher : Birkhäuser
ISBN 13 : 9783034800648
Total Pages : 146 pages
Book Rating : 4.8/5 (6 download)
Download or read book Linear Representations of Groups written by Ernest B. Vinberg and published by Birkhäuser. This book was released on 2013-01-02 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an exposition of the fundamentals of the theory of linear representations of ?nite and compact groups, as well as elements of the t- 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 ?eld under study as does, for example, the monograph of A. A. Kirillov [3]. For a more complete acquaintance with the theory of representations of ?nite 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 - pliedbranchesof algebra. Practically every timethatgroupsareencountered, 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. 0. Basic Notions 0. 1.
Author : Jonathan Brundan
Publisher : American Mathematical Soc.
ISBN 13 : 0821826166
Total Pages : 127 pages
Book Rating : 4.8/5 (218 download)
Download or read book Quantum Linear Groups and Representations of $GL_n({\mathbb F}_q)$ written by Jonathan Brundan and published by American Mathematical Soc.. This book was released on 2001 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: We give a self-contained account of the results originating in the work of James and the second author in the 1980s relating the representation theory of GL[n(F[q) over fields of characteristic coprime to q to the representation theory of "quantum GL[n" at roots of unity. The new treatment allows us to extend the theory in several directions. First, we prove a precise functorial connection between the operations of tensor product in quantum GL[n and Harish-Chandra induction in finite GL[n. This allows us to obtain a version of the recent Morita theorem of Cline, Parshall and Scott valid in addition for p-singular classes. From that we obtain simplified treatments of various basic known facts, such as the computation of decomposition numbers and blocks of GL[n(F[q) from knowledge of the same for the quantum group, and the non-defining analogue of Steinberg's tensor product theorem. We also easily obtain a new double centralizer property between GL[n(F[[q) and quantum GL[n, generalizing a result of Takeuchi. Finally, we apply the theory to study the affine general linear group, following ideas of Zelevinsky in characteristic zero. We prove results that can be regarded as the modular analogues of Zelevinsky's and Thoma's branching rules. Using these, we obtain a new dimension formula for the irreducible cross-characteristic representations of GL[n(F[q), expressing their dimensions in terms of the characters of irreducible modules over the quantum group.
Author : Ronald Shaw
Publisher :
ISBN 13 :
Total Pages : 296 pages
Book Rating : 4.3/5 (91 download)
Download or read book Linear Algebra and Group Representations: Linear algebra and introduction to group representations written by Ronald Shaw and published by . This book was released on 1982 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alexander Kleshchev
Publisher : Cambridge University Press
ISBN 13 : 1139444069
Total Pages : 293 pages
Book Rating : 4.1/5 (394 download)
Download or read book Linear and Projective Representations of Symmetric Groups written by Alexander Kleshchev and published by Cambridge University Press. This book was released on 2005-06-30 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: The representation theory of symmetric groups is one of the most beautiful, popular and important parts of algebra, with many deep relations to other areas of mathematics. Kleshchev describes a new approach to the subject, based on the recent work of Lascoux, Leclerc, Thibon, Ariki, Grojnowski and Brundan, as well as his own
