Reflection Subquotients Of Unitary Reflection Groups
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Unitary Reflection Groups
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Author : Gustav I. Lehrer
language : en
Publisher: Cambridge University Press
Release Date : 2009-08-13
Unitary Reflection Groups written by Gustav I. Lehrer and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-13 with Mathematics categories.
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.
Reflection Subquotients Of Unitary Reflection Groups
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Author : G. I. Lehrer
language : en
Publisher:
Release Date : 1998
Reflection Subquotients Of Unitary Reflection Groups written by G. I. Lehrer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.
Introduction To Complex Reflection Groups And Their Braid Groups
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Author : Michel Broué
language : en
Publisher: Springer
Release Date : 2010-01-28
Introduction To Complex Reflection Groups And Their Braid Groups written by Michel Broué and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-01-28 with Mathematics categories.
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.
Intersection Multiplicities And Reflection Subquotients Of Unitary Reflection Groups
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Author : G. I. Lehrer
language : en
Publisher:
Release Date : 1996
Intersection Multiplicities And Reflection Subquotients Of Unitary Reflection Groups written by G. I. Lehrer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.
The Character Theory Of Finite Groups Of Lie Type
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Author : Meinolf Geck
language : en
Publisher: Cambridge University Press
Release Date : 2020-02-27
The Character Theory Of Finite Groups Of Lie Type written by Meinolf Geck and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-27 with Mathematics categories.
A comprehensive guide to the vast literature and range of results around Lusztig's character theory of finite groups of Lie type.
Geometric Group Theory Down Under
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Author : John Cossey
language : en
Publisher: Walter de Gruyter
Release Date : 2011-05-02
Geometric Group Theory Down Under written by John Cossey and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-02 with Mathematics categories.
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.
New Developments In Singularity Theory
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Author : Dirk Siersma
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-06-30
New Developments In Singularity Theory written by Dirk Siersma and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-06-30 with Mathematics categories.
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.
Intersection Multiplicities And Reflection Subquotients Of Unitary Reflection Groups I
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Author : G. I. Lehrer
language : en
Publisher:
Release Date : 1996
Intersection Multiplicities And Reflection Subquotients Of Unitary Reflection Groups I written by G. I. Lehrer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Intersection theory categories.
Configuration Spaces
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Author : Filippo Callegaro
language : en
Publisher: Springer
Release Date : 2016-08-27
Configuration Spaces written by Filippo Callegaro and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-27 with Mathematics categories.
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.
Group Representation Theory
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Author : Meinolf Geck
language : en
Publisher: EPFL Press
Release Date : 2007-05-07
Group Representation Theory written by Meinolf Geck and has been published by EPFL Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-07 with Mathematics categories.
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).