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 Algebraic Geometry written by Ulrich Görtz and published by Springer Science & Business Media. This book was released on 2010-08-06 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the reader to modern algebraic geometry. It presents Grothendieck's technically demanding language of schemes that is the basis of the most important developments in the last fifty years within this area. A systematic treatment and motivation of the theory is emphasized, using concrete examples to illustrate its usefulness. Several examples from the realm of Hilbert modular surfaces and of determinantal varieties are used methodically to discuss the covered techniques. Thus the reader experiences that the further development of the theory yields an ever better understanding of these fascinating objects. The text is complemented by many exercises that serve to check the comprehension of the text, treat further examples, or give an outlook on further results. The volume at hand is an introduction to schemes. To get startet, it requires only basic knowledge in abstract algebra and topology. Essential facts from commutative algebra are assembled in an appendix. It will be complemented by a second volume on the cohomology of schemes.
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 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 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 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 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 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 Lie Groups and Invariant Theory written by Ėrnest Borisovich Vinberg and published by American Mathematical Soc.. This book was released on 2005 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, devoted to the 70th birthday of A. L. Onishchik, contains a collection of articles by participants in the Moscow Seminar on Lie Groups and Invariant Theory headed by E. B. Vinberg and A. L. Onishchik. The book is suitable for graduate students and researchers interested in Lie groups and related topics.
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 Representation Theory Mathematical Physics and Integrable Systems written by Anton Alekseev and published by Birkhäuser. This book was released on 2022-02-05 with total page 643 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 Geometry of the Quintic written by Jerry Michael Shurman and published by John Wiley & Sons. This book was released on 1997-01-31 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book helps students at the advanced undergraduate and beginning graduate levels to develop connections between the algebra, geometry, and analysis that they know, and to better appreciate the totality of what they have learned. The text demonstrates the use of general concepts by applying theorems from various areas in the context of one problem - solving the quintic. The problem is approached from two directions: the first is Felix Klein's nineteenth-century approach, using the icosahedron. The second approach presents recent works of Peter Doyle and Curt McMullen, which update Klein's use of transcendental functions to a solution through pure iteration.
Download or read book On the Topology of Isolated Singularities in Analytic Spaces written by José Seade and published by Springer Science & Business Media. This book was released on 2006-03-21 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers an overview of selected topics on the topology of singularities, with emphasis on its relations to other branches of geometry and topology. This book studies real analytic singularities which arise from the topological and geometric study of holomorphic vector fields and foliations.
Download or read book Latex Reference Manual written by Karl Berry and published by . This book was released on 2015-10-11 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: LaTeX is a system for typesetting documents. It was 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 manual is a paper version of the "Unofficial LaTeX Reference Manual" covering all basic topics on LaTeX.
Download or read book The Importance of Being Iceland written by Eileen Myles and published by National Geographic Books. This book was released on 2009-06-05 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A poet and post-punk heroine writes on subjects ranging from Björk to Robert Smithson, from traveling in Iceland to walking in Thoreau's footsteps on Cape Cod Poet and post-punk heroine Eileen Myles has always operated in the art, writing, and queer performance scenes as a kind of observant flaneur. Like Baudelaire's gentleman stroller, Myles travels the city—wandering on garbage-strewn New York streets in the heat of summer, drifting though the antiseptic malls of La Jolla, and riding in the van with Sister Spit—seeing it with a poet's eye for detail and with the consciousness that writing about art and culture has always been a social gesture. Culled by the poet from twenty years of art writing, the essays in The Importance of Being Iceland make a lush document of her—and our—lives in these contemporary crowds. Framed by Myles's account of her travels in Iceland, these essays posit inbetweenness as the most vital position from which to perceive culture as a whole, and a fluidity in national identity as the best model for writing and thinking about art and culture. The essays include fresh takes on Thoreau's Cape Cod walk, working class speech, James Schulyer and Björk, queer Russia and Robert Smithson; how-tos on writing an avant-garde poem and driving a battered Japanese car that resembles a menopausal body; and opinions on such widely ranging subjects as filmmaker Sadie Benning, actor Daniel Day-Lewis, Ted Berrigan's Sonnets, and flossing.
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 Quiver Representations and Quiver Varieties written by Alexander Kirillov Jr. and published by American Mathematical Soc.. This book was released on 2016-08-25 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the theory of quiver representations and quiver varieties, starting with basic definitions and ending with Nakajima's work on quiver varieties and the geometric realization of Kac–Moody Lie algebras. The first part of the book is devoted to the classical theory of quivers of finite type. Here the exposition is mostly self-contained and all important proofs are presented in detail. The second part contains the more recent topics of quiver theory that are related to quivers of infinite type: Coxeter functor, tame and wild quivers, McKay correspondence, and representations of Euclidean quivers. In the third part, topics related to geometric aspects of quiver theory are discussed, such as quiver varieties, Hilbert schemes, and the geometric realization of Kac–Moody algebras. Here some of the more technical proofs are omitted; instead only the statements and some ideas of the proofs are given, and the reader is referred to original papers for details. The exposition in the book requires only a basic knowledge of algebraic geometry, differential geometry, and the theory of Lie groups and Lie algebras. Some sections use the language of derived categories; however, the use of this language is reduced to a minimum. The many examples make the book accessible to graduate students who want to learn about quivers, their representations, and their relations to algebraic geometry and Lie algebras.
