Intersection Multiplicities And Reflection Subquotients Of Unitary Reflection Groups I

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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.
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.
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.
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.
Current Developments In Mathematics
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Author :
language : en
Publisher:
Release Date : 2000
Current Developments In Mathematics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
Proceedings Of The International Congress Of Mathematicians Invited Lectures
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Author : Gerd Fischer
language : en
Publisher:
Release Date : 1998
Proceedings Of The International Congress Of Mathematicians Invited Lectures written by Gerd Fischer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.
Atti Del Congresso Internazionale Dei Matematici
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Author :
language : en
Publisher:
Release Date : 1998
Atti Del Congresso Internazionale Dei Matematici written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.
Reflection Groups And Coxeter Groups
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Author : James E. Humphreys
language : en
Publisher: Cambridge University Press
Release Date : 1992-10
Reflection Groups And Coxeter Groups written by James E. Humphreys 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 1992-10 with Mathematics categories.
This graduate textbook presents a concrete and up-to-date introduction to the theory of Coxeter groups. The book is self-contained, making it suitable either for courses and seminars or for self-study. The first part is devoted to establishing concrete examples. Finite reflection groups acting on Euclidean spaces are discussed, and the first part ends with the construction of the affine Weyl groups, a class of Coxeter groups that plays a major role in Lie theory. The second part (which is logically independent of, but motivated by, the first) develops from scratch the properties of Coxeter groups in general, including the Bruhat ordering and the seminal work of Kazhdan and Lusztig on representations of Hecke algebras associated with Coxeter groups is introduced. Finally a number of interesting complementary topics as well as connections with Lie theory are sketched. The book concludes with an extensive bibliography on Coxeter groups and their applications.
Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2000
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.