Character Theory And The Mckay Conjecture PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Character Theory And The Mckay Conjecture PDF full book. Access full book title Character Theory And The Mckay Conjecture.
| Author | : Gabriel Navarro |
| Publisher | : Cambridge University Press |
| Total Pages | : 253 |
| Release | : 2018-04-26 |
| Genre | : Mathematics |
| ISBN | : 110863172X |
Download Character Theory and the McKay Conjecture Book in PDF, ePub and Kindle
The McKay conjecture is the origin of the counting conjectures in the representation theory of finite groups. This book gives a comprehensive introduction to these conjectures, while assuming minimal background knowledge. Character theory is explored in detail along the way, from the very basics to the state of the art. This includes not only older theorems, but some brand new ones too. New, elegant proofs bring the reader up to date on progress in the field, leading to the final proof that if all finite simple groups satisfy the inductive McKay condition, then the McKay conjecture is true. Open questions are presented throughout the book, and each chapter ends with a list of problems, with varying degrees of difficulty.
| Author | : Gabriel Navarro |
| Publisher | : Cambridge University Press |
| Total Pages | : 253 |
| Release | : 2018-04-26 |
| Genre | : Mathematics |
| ISBN | : 1108428444 |
Download Character Theory and the McKay Conjecture Book in PDF, ePub and Kindle
Presents contemporary character theory of finite groups from the basics to the state of the art, with new, refined proofs.
| Author | : Mark L. Lewis |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 194 |
| Release | : 2010-09-17 |
| Genre | : Mathematics |
| ISBN | : 0821848275 |
Download Character Theory of Finite Groups Book in PDF, ePub and Kindle
This volume contains a collection of papers from the Conference on Character Theory of Finite Groups, held at the Universitat de Valencia, Spain, on June 3-5, 2009, in honor of I. Martin Isaacs. The topics include permutation groups, character theory, p-groups, and group rings. The research articles feature new results on large normal abelian subgroups of p-groups, construction of certain wreath products, computing idempotents in group algebras of finite groups, and using dual pairs to study representations of cross characteristic in classical groups. The expository articles present results on vertex subgroups, measuring theorems in permutation groups, the development of super character theory, and open problems in character theory.
| Author | : Meinolf Geck |
| Publisher | : Cambridge University Press |
| Total Pages | : 405 |
| Release | : 2020-02-27 |
| Genre | : Mathematics |
| ISBN | : 1108489621 |
Download The Character Theory of Finite Groups of Lie Type Book in PDF, ePub and Kindle
A comprehensive guide to the vast literature and range of results around Lusztig's character theory of finite groups of Lie type.
| Author | : Meinolf Geck |
| Publisher | : Cambridge University Press |
| Total Pages | : 406 |
| Release | : 2020-02-27 |
| Genre | : Mathematics |
| ISBN | : 1108808905 |
Download The Character Theory of Finite Groups of Lie Type Book in PDF, ePub and Kindle
Through the fundamental work of Deligne and Lusztig in the 1970s, further developed mainly by Lusztig, the character theory of reductive groups over finite fields has grown into a rich and vast area of mathematics. It incorporates tools and methods from algebraic geometry, topology, combinatorics and computer algebra, and has since evolved substantially. With this book, the authors meet the need for a contemporary treatment, complementing in core areas the well-established books of Carter and Digne–Michel. Focusing on applications in finite group theory, the authors gather previously scattered results and allow the reader to get to grips with the large body of literature available on the subject, covering topics such as regular embeddings, the Jordan decomposition of characters, d-Harish–Chandra theory and Lusztig induction for unipotent characters. Requiring only a modest background in algebraic geometry, this useful reference is suitable for beginning graduate students as well as researchers.
| Author | : N.S. Narasimha Sastry |
| Publisher | : Springer |
| Total Pages | : 213 |
| Release | : 2018-09-21 |
| Genre | : Mathematics |
| ISBN | : 9811320470 |
Download Group Theory and Computation Book in PDF, ePub and Kindle
This book is a blend of recent developments in theoretical and computational aspects of group theory. It presents the state-of-the-art research topics in different aspects of group theory, namely, character theory, representation theory, integral group rings, the Monster simple group, computational algorithms and methods on finite groups, finite loops, periodic groups, Camina groups and generalizations, automorphisms and non-abelian tensor product of groups. Presenting a collection of invited articles by some of the leading and highly active researchers in the theory of finite groups and their representations and the Monster group, with a focus on computational aspects, this book is of particular interest to researchers in the area of group theory and related fields of mathematics.
| Author | : Ted Dobson |
| Publisher | : Cambridge University Press |
| Total Pages | : 527 |
| Release | : 2022-05-12 |
| Genre | : Language Arts & Disciplines |
| ISBN | : 1108429068 |
Download Symmetry in Graphs Book in PDF, ePub and Kindle
The first full-length book on the theme of symmetry in graphs, a fast-growing topic in algebraic graph theory.
| Author | : Jan van Neerven |
| Publisher | : Cambridge University Press |
| Total Pages | : 728 |
| Release | : 2022-07-07 |
| Genre | : Mathematics |
| ISBN | : 1009232495 |
Download Functional Analysis Book in PDF, ePub and Kindle
This comprehensive introduction to functional analysis covers both the abstract theory and applications to spectral theory, the theory of partial differential equations, and quantum mechanics. It starts with the basic results of the subject and progresses towards a treatment of several advanced topics not commonly found in functional analysis textbooks, including Fredholm theory, form methods, boundary value problems, semigroup theory, trace formulas, and a mathematical treatment of states and observables in quantum mechanics. The book is accessible to graduate students with basic knowledge of topology, real and complex analysis, and measure theory. With carefully written out proofs, more than 300 problems, and appendices covering the prerequisites, this self-contained volume can be used as a text for various courses at the graduate level and as a reference text for researchers in the field.
| Author | : Kiran S. Kedlaya |
| Publisher | : Cambridge University Press |
| Total Pages | : 518 |
| Release | : 2022-06-09 |
| Genre | : Mathematics |
| ISBN | : 1009275658 |
Download p-adic Differential Equations Book in PDF, ePub and Kindle
Now in its second edition, this volume provides a uniquely detailed study of $P$-adic differential equations. Assuming only a graduate-level background in number theory, the text builds the theory from first principles all the way to the frontiers of current research, highlighting analogies and links with the classical theory of ordinary differential equations. The author includes many original results which play a key role in the study of $P$-adic geometry, crystalline cohomology, $P$-adic Hodge theory, perfectoid spaces, and algorithms for L-functions of arithmetic varieties. This updated edition contains five new chapters, which revisit the theory of convergence of solutions of $P$-adic differential equations from a more global viewpoint, introducing the Berkovich analytification of the projective line, defining convergence polygons as functions on the projective line, and deriving a global index theorem in terms of the Laplacian of the convergence polygon.
| Author | : Francesco Maggi |
| Publisher | : Cambridge University Press |
| Total Pages | : 317 |
| Release | : 2023-10-31 |
| Genre | : Mathematics |
| ISBN | : 1009179705 |
Download Optimal Mass Transport on Euclidean Spaces Book in PDF, ePub and Kindle
A pedagogical introduction to the key ideas and theoretical foundation of optimal mass transport for a graduate course or self-study.
