Notes on Coxeter Transformations and the McKay Correspondence 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 Notes on Coxeter Transformations and the McKay Correspondence PDF full book. Access full book title Notes on Coxeter Transformations and the McKay Correspondence by Rafael Stekolshchik. Download full books in PDF and EPUB format.
Author: Rafael Stekolshchik
Publisher: Springer Science & Business Media
ISBN: 3540773991
Category : Mathematics
Languages : en
Pages : 250
Get Book Here
Book Description
Here is a key text on the subject of representation theory in finite groups. The pages of this excellent little book, prepared by Rafael Stekolshchik, contain a number of new proofs relating to Coxeter Transformations and the McKay Correspondence. They include ideas and formulae from a number of luminaries including J. N. Bernstein, I. M. Gelfand and V. A. Ponomarev, as well as material from Coxeter and McKay themselves. Many other authors have material published here too.
Author: Rafael Stekolshchik
Publisher: Springer Science & Business Media
ISBN: 3540773991
Category : Mathematics
Languages : en
Pages : 250
Get Book Here
Book Description
Here is a key text on the subject of representation theory in finite groups. The pages of this excellent little book, prepared by Rafael Stekolshchik, contain a number of new proofs relating to Coxeter Transformations and the McKay Correspondence. They include ideas and formulae from a number of luminaries including J. N. Bernstein, I. M. Gelfand and V. A. Ponomarev, as well as material from Coxeter and McKay themselves. Many other authors have material published here too.
Author: Gustav I. Lehrer
Publisher: Cambridge University Press
ISBN: 0521749891
Category : Mathematics
Languages : en
Pages : 303
Get Book Here
Book Description
A unitary reflection is a linear transformation of a complex vector space that fixes each point in a hyperplane. Intuitively, it resembles the transformation an image undergoes when it is viewed through a kaleidoscope, or an arrangement of mirrors. This book gives a complete classification of all finite groups which are generated by unitary reflections, using the method of line systems. Irreducible groups are studied in detail, and are identified with finite linear groups. The new invariant theoretic proof of Steinberg's fixed point theorem is treated fully. The same approach is used to develop the theory of eigenspaces of elements of reflection groups and their twisted analogues. This includes an extension of Springer's theory of regular elements to reflection cosets. An appendix outlines links to representation theory, topology and mathematical physics. Containing over 100 exercises, ranging in difficulty from elementary to research level, this book is ideal for honours and graduate students, or for researchers in algebra, topology and mathematical physics. Book jacket.
Author: Michiel Hazewinkel
Publisher: American Mathematical Soc.
ISBN: 0821852620
Category : Mathematics
Languages : en
Pages : 425
Get Book Here
Book Description
Presenting an introduction to the theory of Hopf algebras, the authors also discuss some important aspects of the theory of Lie algebras. This book includes a chapters on the Hopf algebra of symmetric functions, the Hopf algebra of representations of the symmetric groups, the Hopf algebras of the nonsymmetric and quasisymmetric functions, and the Hopf algebra of permutations.
Author: George Grätzer
Publisher: Birkhäuser
ISBN: 3319442368
Category : Mathematics
Languages : en
Pages : 625
Get Book Here
Book Description
George Grätzer's Lattice Theory: Foundation is his third book on lattice theory (General Lattice Theory, 1978, second edition, 1998). In 2009, Grätzer considered updating the second edition to reflect some exciting and deep developments. He soon realized that to lay the foundation, to survey the contemporary field, to pose research problems, would require more than one volume and more than one person. So Lattice Theory: Foundation provided the foundation. Now we complete this project with Lattice Theory: Special Topics and Applications, in two volumes, written by a distinguished group of experts, to cover some of the vast areas not in Foundation. This second volume is divided into ten chapters contributed by K. Adaricheva, N. Caspard, R. Freese, P. Jipsen, J.B. Nation, N. Reading, H. Rose, L. Santocanale, and F. Wehrung.
Author: Die deutsche Nationalbibliothek
Publisher:
ISBN:
Category :
Languages : de
Pages : 830
Get Book Here
Book Description
Author: American Mathematical Society
Publisher: American Mathematical Soc.
ISBN: 082184881X
Category : Mathematics
Languages : en
Pages : 258
Get Book Here
Book Description
"Volume includes English translation of ten expository articles published in the Japanese journal Sugaku."
Author: Ola Bratteli
Publisher: Springer Science & Business Media
ISBN: 3540341978
Category : Mathematics
Languages : en
Pages : 280
Get Book Here
Book Description
The theme of the first Abel Symposium was operator algebras in a wide sense. In the last 40 years operator algebras have developed from a rather special discipline within functional analysis to become a central field in mathematics often described as "non-commutative geometry". It has branched out in several sub-disciplines and made contact with other subjects. The contributions to this volume give a state-of-the-art account of some of these sub-disciplines and the variety of topics reflect to some extent how the subject has developed. This is the first volume in a prestigious new book series linked to the Abel prize.
Author: Kazuhiro Konno
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 366
Get Book Here
Book Description
This volume contains two survey articles and eight research articles contributed by the invited lecturers at the conference Algebraic Geometry in East Asia. II, which was held at the Conference Hall (Hanoi, Vietnam) from October 10-14, 2005. Topics touched upon in this volume include Zariski pairs, rational homogeneous manifolds, Kummer surfaces, singularity theory, Cremona groups, algebraic curves, dual varieties, Castelnuovo-Weil lattices, etc. The reader can not only find the current status of a variety of research topics but also enjoy the art of the subjects presented by leading algebraic geometers.
Author: Clay Mathematics Institute. Summer School
Publisher: American Mathematical Soc.
ISBN: 9780821837153
Category : Mathematics
Languages : en
Pages : 396
Get Book Here
Book Description
Contains selection of expository and research article by lecturers at the school. Highlights current interests of researchers working at the interface between string theory and algebraic supergravity, supersymmetry, D-branes, the McKay correspondence andFourer-Mukai transform.
Author: Terence Tao
Publisher: American Mathematical Soc.
ISBN: 1470421968
Category : Mathematics
Languages : en
Pages : 319
Get Book Here
Book Description
Expander graphs are an important tool in theoretical computer science, geometric group theory, probability, and number theory. Furthermore, the techniques used to rigorously establish the expansion property of a graph draw from such diverse areas of mathematics as representation theory, algebraic geometry, and arithmetic combinatorics. This text focuses on the latter topic in the important case of Cayley graphs on finite groups of Lie type, developing tools such as Kazhdan's property (T), quasirandomness, product estimates, escape from subvarieties, and the Balog-Szemerédi-Gowers lemma. Applications to the affine sieve of Bourgain, Gamburd, and Sarnak are also given. The material is largely self-contained, with additional sections on the general theory of expanders, spectral theory, Lie theory, and the Lang-Weil bound, as well as numerous exercises and other optional material.
