The Projective Representations of the Finite Imprimitive Unitary Reflection Groups
Author: Muhammad Saeed-ul-Islam
Publisher:
Published: 1980
Total Pages:
ISBN-13:
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Author: Muhammad Saeed-ul-Islam
Publisher:
Published: 1980
Total Pages:
ISBN-13:
DOWNLOAD EBOOKAuthor: Peter Norman Hoffman
Publisher: Oxford University Press
Published: 1992
Total Pages: 322
ISBN-13: 9780198535560
DOWNLOAD EBOOKThe study of the symmetric groups forms one of the basic building blocks of modern group theory. This book presents information currently known on the projective representations of the symmetric and alternating groups. Special emphasis is placed on the theory of Q-functions and skew Q-functions.
Author: Shaine Gordon Francis Bushell
Publisher:
Published: 2005
Total Pages:
ISBN-13:
DOWNLOAD EBOOKAuthor: Joachim Hilgert
Publisher: World Scientific
Published: 2009
Total Pages: 337
ISBN-13: 9812832823
DOWNLOAD EBOOKThe Fourth Conference on Infinite Dimensional Harmonic Analysis brought together experts in harmonic analysis, operator algebras and probability theory. Most of the articles deal with the limit behavior of systems with many degrees of freedom in the presence of symmetry constraints. This volume gives new directions in research bringing together probability theory and representation theory.
Author: Joachim Hilgert
Publisher: World Scientific
Published: 2008-11-26
Total Pages: 337
ISBN-13: 9814470449
DOWNLOAD EBOOKThe Fourth Conference on Infinite Dimensional Harmonic Analysis brought together experts in harmonic analysis, operator algebras and probability theory. Most of the articles deal with the limit behavior of systems with many degrees of freedom in the presence of symmetry constraints. This volume gives new directions in research bringing together probability theory and representation theory.
Author:
Publisher:
Published: 1983
Total Pages: 514
ISBN-13:
DOWNLOAD EBOOKAuthor: Gerhard Hiss
Publisher: American Mathematical Soc.
Published: 2015-02-06
Total Pages: 126
ISBN-13: 1470409607
DOWNLOAD EBOOKMotivated by the maximal subgroup problem of the finite classical groups the authors begin the classification of imprimitive irreducible modules of finite quasisimple groups over algebraically closed fields K. A module of a group G over K is imprimitive, if it is induced from a module of a proper subgroup of G. The authors obtain their strongest results when char(K)=0, although much of their analysis carries over into positive characteristic. If G is a finite quasisimple group of Lie type, they prove that an imprimitive irreducible KG-module is Harish-Chandra induced. This being true for \rm char(K) different from the defining characteristic of G, the authors specialize to the case char(K)=0 and apply Harish-Chandra philosophy to classify irreducible Harish-Chandra induced modules in terms of Harish-Chandra series, as well as in terms of Lusztig series. The authors determine the asymptotic proportion of the irreducible imprimitive KG-modules, when G runs through a series groups of fixed (twisted) Lie type. One of the surprising outcomes of their investigations is the fact that these proportions tend to 1, if the Lie rank of the groups tends to infinity. For exceptional groups G of Lie type of small rank, and for sporadic groups G, the authors determine all irreducible imprimitive KG-modules for arbitrary characteristic of K.
Author: Shayne F. D. Waldron
Publisher: Springer
Published: 2018-02-03
Total Pages: 590
ISBN-13: 0817648151
DOWNLOAD EBOOKThis textbook is an introduction to the theory and applications of finite tight frames, an area that has developed rapidly in the last decade. Stimulating much of this growth are the applications of finite frames to diverse fields such as signal processing, quantum information theory, multivariate orthogonal polynomials, and remote sensing. Featuring exercises and MATLAB examples in each chapter, the book is well suited as a textbook for a graduate course or seminar involving finite frames. The self-contained, user-friendly presentation also makes the work useful as a self-study resource or reference for graduate students, instructors, researchers, and practitioners in pure and applied mathematics, engineering, mathematical physics, and signal processing.