The Arcata Conference on Representations of Finite Groups, Part 2

The Arcata Conference on Representations of Finite Groups, Part 2
Author: Paul Fong
Publisher: American Mathematical Soc.
Total Pages: 562
Release: 1987
Genre: Mathematics
ISBN: 0821814788

The papers in these proceedings of the 1986 Arcata Summer Institute bear witness to the extraordinarily vital and intense research in the representation theory of finite groups. The confluence of diverse mathematical disciplines has brought forth work of great scope and depth. Particularly striking is the influence of algebraic geometry and cohomology theory in the modular representation theory and the character theory of reductive groups over finite fields, and in the general modular representation theory of finite groups. The continuing developments in block theory and the general character theory of finite groups is noteworthy. The expository and research aspects of the Summer Institute are well represented by these papers.

The Arcata Conference on Representations of Finite Groups, Part 1

The Arcata Conference on Representations of Finite Groups, Part 1
Author: Paul Fong
Publisher: American Mathematical Soc.
Total Pages: 501
Release: 1987
Genre: Mathematics
ISBN: 082181477X

The papers in these proceedings of the 1986 Arcata Summer Institute bear witness to the extraordinarily vital and intense research in the representation theory of finite groups. The confluence of diverse mathematical disciplines has brought forth work of great scope and depth. Particularly striking is the influence of algebraic geometry and cohomology theory in the modular representation theory and the character theory of reductive groups over finite fields, and in the general modular representation theory of finite groups. The continuing developments in block theory and the general character theory of finite groups is noteworthy. The expository and research aspects of the Summer Institute are well represented by these papers.

Representations of Algebraic Groups

Representations of Algebraic Groups
Author: Jens Carsten Jantzen
Publisher: American Mathematical Soc.
Total Pages: 594
Release: 2003
Genre: Mathematics
ISBN: 082184377X

Gives an introduction to the general theory of representations of algebraic group schemes. This title deals with representation theory of reductive algebraic groups and includes topics such as the description of simple modules, vanishing theorems, Borel-Bott-Weil theorem and Weyl's character formula, and Schubert schemes and lne bundles on them.

Modular Representations of Finite Groups of Lie Type

Modular Representations of Finite Groups of Lie Type
Author: James E. Humphreys
Publisher: Cambridge University Press
Total Pages: 260
Release: 2006
Genre: Mathematics
ISBN: 9780521674546

A comprehensive treatment of the representation theory of finite groups of Lie type over a field of the defining prime characteristic.

The Monster and Lie Algebras

The Monster and Lie Algebras
Author: Joseph Ferrar
Publisher: Walter de Gruyter
Total Pages: 265
Release: 2011-06-24
Genre: Mathematics
ISBN: 3110801892

Thisseries is devoted to the publication of monographs, lecture resp. seminar notes, and other materials arising from programs of the OSU Mathemaical Research Institute. This includes proceedings of conferences or workshops held at the Institute, and other mathematical writings.

Combinatorics of Coxeter Groups

Combinatorics of Coxeter Groups
Author: Anders Bjorner
Publisher: Springer Science & Business Media
Total Pages: 371
Release: 2006-02-25
Genre: Mathematics
ISBN: 3540275967

Includes a rich variety of exercises to accompany the exposition of Coxeter groups Coxeter groups have already been exposited from algebraic and geometric perspectives, but this book will be presenting the combinatorial aspects of Coxeter groups

Featured Reviews in Mathematical Reviews 1997-1999

Featured Reviews in Mathematical Reviews 1997-1999
Author: Donald G. Babbitt
Publisher: American Mathematical Soc.
Total Pages: 762
Release: 2000-05-05
Genre: Mathematics
ISBN: 9780821896709

This second volume of Featured Reviews makes available special detailed reviews of some of the most important mathematical articles and books published from 1997 through 1999. Also included are excellent reviews of several classic books and articles published prior to 1970. Among those reviews, for example, are the following: Homological Algebra by Henri Cartan and Samuel Eilenberg, reviewed by G. Hochschild; Faisceaux algebriques coherents by Jean-Pierre Serre, reviewed by C. Chevalley; and On the Theory of General Partial Differential Operators by Lars Hormander, reviewed by J. L. Lions. In particular, those seeking information on current developments outside their own area of expertise will find the volume very useful. By identifying some of the best publications, papers, and books that have had or are expected to have a significant impact in applied and pure mathematics, this volume will serve as a comprehensive guide to important new research across all fields covered by MR.

Emerging Applications of Number Theory

Emerging Applications of Number Theory
Author: Dennis A. Hejhal
Publisher: Springer Science & Business Media
Total Pages: 693
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461215447

Most people tend to view number theory as the very paradigm of pure mathematics. With the advent of computers, however, number theory has been finding an increasing number of applications in practical settings, such as in cryptography, random number generation, coding theory, and even concert hall acoustics. Yet other applications are still emerging - providing number theorists with some major new areas of opportunity. The 1996 IMA summer program on Emerging Applications of Number Theory was aimed at stimulating further work with some of these newest (and most attractive) applications. Concentration was on number theory's recent links with: (a) wave phenomena in quantum mechanics (more specifically, quantum chaos); and (b) graph theory (especially expander graphs and related spectral theory). This volume contains the contributed papers from that meeting and will be of interest to anyone intrigued by novel applications of modern number-theoretical techniques.