Maximal $textrm {PSL}_2$ Subgroups of Exceptional Groups of Lie Type

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Publisher : American Mathematical Society
ISBN 13 : 1470451190
Total Pages : 168 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Maximal $textrm {PSL}_2$ Subgroups of Exceptional Groups of Lie Type by : David A. Craven

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.

On Medium-rank Lie Primitive and Maximal Subgroups of Exceptional Groups of Lie Type

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Publisher :
ISBN 13 : 9781470475765
Total Pages : 0 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis On Medium-rank Lie Primitive and Maximal Subgroups of Exceptional Groups of Lie Type by : David A. Craven

Download or read book On Medium-rank Lie Primitive and Maximal Subgroups of Exceptional Groups of Lie Type written by David A. Craven and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Linear Algebraic Groups and Finite Groups of Lie Type

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Publisher :
ISBN 13 : 9781139128513
Total Pages : 324 pages
Book Rating : 4.1/5 (285 download)

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Book Synopsis Linear Algebraic Groups and Finite Groups of Lie Type by : Gunter Malle

Download or read book Linear Algebraic Groups and Finite Groups of Lie Type written by Gunter Malle and published by . This book was released on 2014-05-14 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first textbook on the subgroup structure, in particular maximal subgroups, for both algebraic and finite groups of Lie type.

Simple Groups of Lie Type

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Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 352 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Simple Groups of Lie Type by : Roger William Carter

Download or read book Simple Groups of Lie Type written by Roger William Carter and published by John Wiley & Sons. This book was released on 1972 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Primitive Actions and Maximal Subgroups of Lie Groups

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Publisher :
ISBN 13 :
Total Pages : 166 pages
Book Rating : 4.:/5 (3 download)

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Book Synopsis Primitive Actions and Maximal Subgroups of Lie Groups by : Martin Aaron Golubitsky

Download or read book Primitive Actions and Maximal Subgroups of Lie Groups written by Martin Aaron Golubitsky and published by . This book was released on 1970 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Complex Kleinian Groups

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Publisher : Springer Science & Business Media
ISBN 13 : 3034804814
Total Pages : 288 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Complex Kleinian Groups by : Angel Cano

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.​

Complex Semisimple Lie Algebras

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Publisher : Springer Science & Business Media
ISBN 13 : 1475739109
Total Pages : 82 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Complex Semisimple Lie Algebras by : Jean-Pierre Serre

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.

An Introduction to Group Rings

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Publisher : Springer Science & Business Media
ISBN 13 : 9781402002380
Total Pages : 394 pages
Book Rating : 4.0/5 (23 download)

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Book Synopsis An Introduction to Group Rings by : César Polcino Milies

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 .

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.

LaTeX 2e

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Publisher :
ISBN 13 : 9781680921243
Total Pages : 162 pages
Book Rating : 4.9/5 (212 download)

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Book Synopsis LaTeX 2e by : Karl Berry

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.

Stone in Architecture

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Publisher : Springer Science & Business Media
ISBN 13 : 3662100703
Total Pages : 328 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis Stone in Architecture by : Erhard Winkler

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.

The Book of Involutions

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Publisher :
ISBN 13 : 9787040534931
Total Pages : 593 pages
Book Rating : 4.5/5 (349 download)

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Book Synopsis The Book of Involutions by : Max-Albert Knus

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:

Representation Theory, Mathematical Physics, and Integrable Systems

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Publisher : Springer Nature
ISBN 13 : 3030781488
Total Pages : 652 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Representation Theory, Mathematical Physics, and Integrable Systems by : Anton Alekseev

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.

Representations of the Infinite Symmetric Group

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Publisher : Cambridge University Press
ISBN 13 : 1107175550
Total Pages : 169 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Representations of the Infinite Symmetric Group by : Alexei Borodin

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.

Geometry of the Quintic

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Publisher : John Wiley & Sons
ISBN 13 : 9780471130178
Total Pages : 220 pages
Book Rating : 4.1/5 (31 download)

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Book Synopsis Geometry of the Quintic by : Jerry Michael Shurman

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.

Algebraic Geometry

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Publisher : Springer Science & Business Media
ISBN 13 : 3834897221
Total Pages : 615 pages
Book Rating : 4.8/5 (348 download)

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Book Synopsis Algebraic Geometry by : Ulrich Görtz

Download or read book Algebraic Geometry written by Ulrich Görtz and published by Springer Science & Business Media. This book was released on 2010-08-09 with total page 615 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.

Rank One Higgs Bundles and Representations of Fundamental Groups of Riemann Surfaces

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Publisher : American Mathematical Soc.
ISBN 13 : 082184136X
Total Pages : 86 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Rank One Higgs Bundles and Representations of Fundamental Groups of Riemann Surfaces by : William Mark Goldman

Download or read book Rank One Higgs Bundles and Representations of Fundamental Groups of Riemann Surfaces written by William Mark Goldman and published by American Mathematical Soc.. This book was released on 2008 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt: This expository article details the theory of rank one Higgs bundles over a closed Riemann surface $X$ and their relation to representations of the fundamental group of $X$. The authors construct an equivalence between the deformation theories of flat connections and Higgs pairs. This provides an identification of moduli spaces arising in different contexts. The moduli spaces are real Lie groups. From each context arises a complex structure, and the different complex structures define a hyperkähler structure. The twistor space, real forms, and various group actions are computed explicitly in terms of the Jacobian of $X$. The authors describe the moduli spaces and their geometry in terms of the Riemann period matrix of $X$.