Download or read book Maximal textrm PSL 2 Subgroups of Exceptional Groups of Lie Type written by David A. Craven and published by American Mathematical Society. This book was released on 2022-04-08 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Download or read book Complex Kleinian Groups written by Angel Cano and published by Springer Science & Business Media. This book was released on 2012-11-05 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph lays down the foundations of the theory of complex Kleinian groups, a newly born area of mathematics whose origin traces back to the work of Riemann, Poincaré, Picard and many others. Kleinian groups are, classically, discrete groups of conformal automorphisms of the Riemann sphere, and these can be regarded too as being groups of holomorphic automorphisms of the complex projective line CP1. When going into higher dimensions, there is a dichotomy: Should we look at conformal automorphisms of the n-sphere?, or should we look at holomorphic automorphisms of higher dimensional complex projective spaces? These two theories are different in higher dimensions. In the first case we are talking about groups of isometries of real hyperbolic spaces, an area of mathematics with a long-standing tradition. In the second case we are talking about an area of mathematics that still is in its childhood, and this is the focus of study in this monograph. This brings together several important areas of mathematics, as for instance classical Kleinian group actions, complex hyperbolic geometry, chrystallographic groups and the uniformization problem for complex manifolds.
Download or read book An Introduction to Group Rings written by César Polcino Milies and published by Springer Science & Business Media. This book was released on 2002-01-31 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: to Group Rings by Cesar Polcino Milies Instituto de Matematica e Estatistica, Universidade de sao Paulo, sao Paulo, Brasil and Sudarshan K. Sehgal Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton. Canada SPRINGER-SCIENCE+BUSINESS MEDIA, B.V. A c.I.P. Catalogue record for this book is available from the Library of Congress. ISBN 978-1-4020-0239-7 ISBN 978-94-010-0405-3 (eBook) DOI 10.1007/978-94-010-0405-3 Printed an acid-free paper AII Rights Reserved (c) 2002 Springer Science+Business Media Dordrecht Originally published by Kluwer Academic Publishers in 2002 Softcover reprint ofthe hardcover Ist edition 2002 No part of the material protected by this copyright notice may be reproduced or utilized in any form or by any means, electronic or mechanical, inc1uding photocopying, recording Of by any information storage and retrieval system, without written permis sion from the copyright owner. Contents Preface ix 1 Groups 1 1.1 Basic Concepts . . . . . . . . . . . . 1 1.2 Homomorphisms and Factor Groups 10 1.3 Abelian Groups . 18 1.4 Group Actions, p-groups and Sylow Subgroups 21 1.5 Solvable and Nilpotent Groups 27 1.6 FC Groups .
Download or read book Complex Semisimple Lie Algebras written by Jean-Pierre Serre and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes are a record of a course given in Algiers from lOth to 21st May, 1965. Their contents are as follows. The first two chapters are a summary, without proofs, of the general properties of nilpotent, solvable, and semisimple Lie algebras. These are well-known results, for which the reader can refer to, for example, Chapter I of Bourbaki or my Harvard notes. The theory of complex semisimple algebras occupies Chapters III and IV. The proofs of the main theorems are essentially complete; however, I have also found it useful to mention some complementary results without proof. These are indicated by an asterisk, and the proofs can be found in Bourbaki, Groupes et Algebres de Lie, Paris, Hermann, 1960-1975, Chapters IV-VIII. A final chapter shows, without proof, how to pass from Lie algebras to Lie groups (complex-and also compact). It is just an introduction, aimed at guiding the reader towards the topology of Lie groups and the theory of algebraic groups. I am happy to thank MM. Pierre Gigord and Daniel Lehmann, who wrote up a first draft of these notes, and also Mlle. Franr,:oise Pecha who was responsible for the typing of the manuscript.
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.
Download or read book Digital Typography Using LaTeX written by Apostolos Syropoulos and published by Springer Science & Business Media. This book was released on 2007-08-22 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using clear and concise language this book introduces new users to the use of the TeX system, in particular document preparation using LaTeX. It avoids the pitfalls of having to search through several advanced books on the subject, by collecting together the more frequently required tools and presenting these in a single accessible volume. It also describes the recent developments in multilingual typesetting using TeX that now make it straightforward for users to prepare documents in their own language and alphabet, giving the book a global readership. Topics include: multi-lingual uses of LaTeX; discussion of hardware implementations; use and misuse of particular LaTeX commands; and many others.
Download or read book Black Holes in Higher Dimensions written by Gary T. Horowitz and published by Cambridge University Press. This book was released on 2012-04-19 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first book devoted to black holes in more than four dimensions, for graduate students and researchers.
Download or read book LaTeX 2e written by Karl Berry and published by . This book was released on 2017-08 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: LaTeX is a system for typesetting documents, originally created by Leslie Lamport and is now maintained by a group of volunteers. It is widely used, particularly for complex and technical documents, such as those involving mathematics. This book is a printed version of the "LaTeX 2e: An Unofficial Reference Manual" covering all basic topics on LaTeX. Free versions in PDF format may be found online.
Download or read book Stone in Architecture written by Erhard Winkler and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: The readers of the first two editions of Stone: Properties, Durabi lity in Man's Environment, were mostly architects, restoration architects of buildings and monuments in natural stone, profes sionals who sought basic technical information for non-geologists. The increasing awareness of rapidly decaying monuments and their rescue from loss to future generations have urged this writer to update the 1973 and 1975 editions, now unavailable and out of print. Due to the 20-year-Iong interval, extensive updating was necessary to produce this new book. The present edition concentrates on the natural material stone, as building stone, dimension stone, architectural stone, and decorative field stones. Recently, the use of stone for thin curtain walls on buildings has become fashionable. The thin slabs exposed to anew, unknown complexity of stresses, resulting in bowing of crystalline marble, has attracted much negative pUblicity. The costs of replacing white slabs of marble on entire buildings with its legal implications have led construction com panies into bankruptcy. We blame many environmental problems on acid rain. Does acid rain really accelerate stone decay that much? Stone preservation is being attempted with an ever-increasing number of chemicals applied by as many specialists to save crumbling stone. Chemists filled this need during a time of temporary job scarcity, while the general geologist missed this opportunity; he was too deeply involved in the search for fossil fuels and metals.
Download or read book Moufang Polygons written by Jacques Tits and published by Springer Science & Business Media. This book was released on 2002-09-12 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives the complete classification of Moufang polygons, starting from first principles. In particular, it may serve as an introduction to the various important algebraic concepts which arise in this classification including alternative division rings, quadratic Jordan division algebras of degree three, pseudo-quadratic forms, BN-pairs and norm splittings of quadratic forms. This book also contains a new proof of the classification of irreducible spherical buildings of rank at least three based on the observation that all the irreducible rank two residues of such a building are Moufang polygons. In an appendix, the connection between spherical buildings and algebraic groups is recalled.
Download or read book Mirror Symmetry II written by B. Greene and published by American Mathematical Soc.. This book was released on 2001-04-01 with total page 864 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mirror Symmetry has undergone dramatic progress since the Mathematical Sciences Research Institute (MSRI) workshop in 1991, whose proceedings constitute voluem I of this continuing collection. Tremendous insight has been gained on a number of key issues. This volume surveys these results. Some of the contributions in this work have appeared elsewhere, while others were written specifically for this collection. The areas covered are organized into 4 sections, and each presents papers by both physicists and mathematicians. This volume collects the most important developments that have taken place in mathematical physics since 1991. It is an essential reference tool for both mathematics and physics libraries and for students of physics and mathematics. Titles in this series are co-published, between the American Mathematical Society and International Press, Cambridge, MA, USA.
Download or read book The Monster Group and Majorana Involutions written by Aleksandr Anatolievich Ivanov and published by Cambridge University Press. This book was released on 2009-03-19 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: A rigorous construction and uniqueness proof for the Monster group, detailing its relation to Majorana involutions.
Download or read book Representation Theory Mathematical Physics and Integrable Systems written by Anton Alekseev and published by Springer Nature. This book was released on 2022-02-05 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the course of his distinguished career, Nicolai Reshetikhin has made a number of groundbreaking contributions in several fields, including representation theory, integrable systems, and topology. The chapters in this volume – compiled on the occasion of his 60th birthday – are written by distinguished mathematicians and physicists and pay tribute to his many significant and lasting achievements. Covering the latest developments at the interface of noncommutative algebra, differential and algebraic geometry, and perspectives arising from physics, this volume explores topics such as the development of new and powerful knot invariants, new perspectives on enumerative geometry and string theory, and the introduction of cluster algebra and categorification techniques into a broad range of areas. Chapters will also cover novel applications of representation theory to random matrix theory, exactly solvable models in statistical mechanics, and integrable hierarchies. The recent progress in the mathematical and physicals aspects of deformation quantization and tensor categories is also addressed. Representation Theory, Mathematical Physics, and Integrable Systems will be of interest to a wide audience of mathematicians interested in these areas and the connections between them, ranging from graduate students to junior, mid-career, and senior researchers.
Download or read book Representations of the Infinite Symmetric Group written by Alexei Borodin and published by Cambridge University Press. This book was released on 2017 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the modern representation theory of big groups, exploring its connections to probability and algebraic combinatorics.
Download or read book The Book of Involutions written by Max-Albert Knus and published by . This book was released on 2020 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Digital Typography written by Donald E. Knuth and published by Center for the Study of Language and Information Publications. This book was released on 1999-03-13 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt: Donald Knuth's influence in computer science ranges from the invention of literate programming to the development of the TeX programming language. One of the foremost figures in the field of mathematical sciences, Knuth has written papers which stand as milestones of development over a wide range of topics. In this collection, the second in the series, Knuth explores the relationship between computers and typography. The present volume, in the words of the author, is the legacy of all the work he has done on typography. When type designers, punch cutters, typographers, book historians, and scholars visited the University while Knuth was working in this field, it gave to Stanford what some consider to be its golden age of digital typography. By the author's own admission, the present work is one of the most difficult books that he has prepared. This is truly a work that only Knuth could have produced.
Download or read book Collected Papers of John Milnor written by John Willard Milnor and published by American Mathematical Soc.. This book was released on 2009 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains papers of one of the best modern geometers and topologists, John Milnor, on various topics related to the notion of the fundamental group. The volume contains sixteen papers divided into four parts: Knot theory, Free actions on spheres, Torsion, and Three-dimensional manifolds. Each part is preceded by an introduction containing the author's comments on further development of the subject. Although some of the papers were written quite a while ago, they appear more modern than many of today's publications. Milnor's excellent, clear, and laconic style makes the book a real treat. This volume is highly recommended to a broad mathematical audience, and, in particular, to young mathematicians who will certainly benefit from their acquaintance with Milnor's mode of thinking and writing.
