Reflection Subquotients of Unitary Reflection Groups
Author : G. I. Lehrer
Publisher :
Page : 18 pages
File Size : 41,29 MB
Release : 1998
Category :
ISBN :
Author : G. I. Lehrer
Publisher :
Page : 18 pages
File Size : 41,29 MB
Release : 1998
Category :
ISBN :
Author : Gustav I. Lehrer
Publisher : Cambridge University Press
Page : 303 pages
File Size : 12,91 MB
Release : 2009-08-13
Category : Mathematics
ISBN : 0521749891
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 : G. I. Lehrer
Publisher :
Page : pages
File Size : 27,18 MB
Release : 1996
Category :
ISBN :
Author : G. I. Lehrer
Publisher :
Page : 15 pages
File Size : 25,99 MB
Release : 1996
Category : Intersection theory
ISBN :
Author : Michel Broué
Publisher : Springer
Page : 150 pages
File Size : 38,68 MB
Release : 2010-01-28
Category : Mathematics
ISBN : 3642111750
This book covers basic properties of complex reflection groups, such as characterization, Steinberg theorem, Gutkin-Opdam matrices, Solomon theorem and applications, including the basic findings of Springer theory on eigenspaces.
Author : John Cossey
Publisher : Walter de Gruyter
Page : 349 pages
File Size : 33,13 MB
Release : 2011-05-02
Category : Mathematics
ISBN : 311080686X
The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
Author : Meinolf Geck
Publisher : Cambridge University Press
Page : 405 pages
File Size : 43,11 MB
Release : 2020-02-27
Category : Mathematics
ISBN : 1108489621
A comprehensive guide to the vast literature and range of results around Lusztig's character theory of finite groups of Lie type.
Author : Dirk Siersma
Publisher : Springer Science & Business Media
Page : 484 pages
File Size : 16,74 MB
Release : 2001-06-30
Category : Mathematics
ISBN : 9780792369967
Singularities arise naturally in a huge number of different areas of mathematics and science. As a consequence, singularity theory lies at the crossroads of paths that connect many of the most important areas of applications of mathematics with some of its most abstract regions. The main goal in most problems of singularity theory is to understand the dependence of some objects of analysis, geometry, physics, or other science (functions, varieties, mappings, vector or tensor fields, differential equations, models, etc.) on parameters. The articles collected here can be grouped under three headings. (A) Singularities of real maps; (B) Singular complex variables; and (C) Singularities of homomorphic maps.
Author : Meinolf Geck
Publisher : EPFL Press
Page : 472 pages
File Size : 50,3 MB
Release : 2007-05-07
Category : Mathematics
ISBN : 9780849392436
After the pioneering work of Brauer in the middle of the 20th century in the area of the representation theory of groups, many entirely new developments have taken place and the field has grown into a very large field of study. This progress, and the remaining open problems (e.g., the conjectures of Alterin, Dade, Broué, James, etc.) have ensured that group representation theory remains a lively area of research. In this book, the leading researchers in the field contribute a chapter in their field of specialty, namely: Broué (Finite reductive groups and spetses); Carlson (Cohomology and representations of finite groups); Geck (Representations of Hecke algebras); Seitz (Topics in algebraic groups); Kessar and Linckelmann (Fusion systems and blocks); Serre (On finite subgroups of Lie groups); Thévenaz (The classification of endo-permutaion modules); and Webb (Representations and cohomology of categories).
Author : Filippo Callegaro
Publisher : Springer
Page : 385 pages
File Size : 40,87 MB
Release : 2016-08-27
Category : Mathematics
ISBN : 3319315803
This book collects the scientific contributions of a group of leading experts who took part in the INdAM Meeting held in Cortona in September 2014. With combinatorial techniques as the central theme, it focuses on recent developments in configuration spaces from various perspectives. It also discusses their applications in areas ranging from representation theory, toric geometry and geometric group theory to applied algebraic topology.