Author: Molly PrzeworskiPublisher:
ISBN:
Category :
Languages : en
Pages : 0
Book Description
The Irreducible Representations of SL2(Fq)
Author: Molly PrzeworskiRepresentation Theory, Number Theory, and Invariant Theory
Author: Jim CogdellPublisher: Birkhäuser
ISBN: 3319597280
Category : Mathematics
Languages : en
Pages : 626
Book Description
This book contains selected papers based on talks given at the "Representation Theory, Number Theory, and Invariant Theory" conference held at Yale University from June 1 to June 5, 2015. The meeting and this resulting volume are in honor of Professor Roger Howe, on the occasion of his 70th birthday, whose work and insights have been deeply influential in the development of these fields. The speakers who contributed to this work include Roger Howe's doctoral students, Roger Howe himself, and other world renowned mathematicians. Topics covered include automorphic forms, invariant theory, representation theory of reductive groups over local fields, and related subjects.
IRREDUCIBLE REPRESENTATIONS.
Author: Discrete Harmonic Analysis
Author: Tullio Ceccherini-SilbersteinPublisher: Cambridge University Press
ISBN: 1316865401
Category : Mathematics
Languages : en
Pages : 590
Book Description
This self-contained book introduces readers to discrete harmonic analysis with an emphasis on the Discrete Fourier Transform and the Fast Fourier Transform on finite groups and finite fields, as well as their noncommutative versions. It also features applications to number theory, graph theory, and representation theory of finite groups. Beginning with elementary material on algebra and number theory, the book then delves into advanced topics from the frontiers of current research, including spectral analysis of the DFT, spectral graph theory and expanders, representation theory of finite groups and multiplicity-free triples, Tao's uncertainty principle for cyclic groups, harmonic analysis on GL(2,Fq), and applications of the Heisenberg group to DFT and FFT. With numerous examples, figures, and over 160 exercises to aid understanding, this book will be a valuable reference for graduate students and researchers in mathematics, engineering, and computer science.
Computing the Irreducible Representations of a Finite Group Over Finite Fields
Author: Samantha RiesenfeldFourier Analysis on Finite Groups and Applications
Author: Audrey TerrasPublisher: Cambridge University Press
ISBN: 9780521457187
Category : Mathematics
Languages : en
Pages : 456
Book Description
It examines the theory of finite groups in a manner that is both accessible to the beginner and suitable for graduate research.
Representations of SL2(Fq)
Author: Cédric BonnaféPublisher: Springer Science & Business Media
ISBN: 0857291572
Category : Mathematics
Languages : en
Pages : 196
Book Description
Deligne-Lusztig theory aims to study representations of finite reductive groups by means of geometric methods, and particularly l-adic cohomology. Many excellent texts present, with different goals and perspectives, this theory in the general setting. This book focuses on the smallest non-trivial example, namely the group SL2(Fq), which not only provides the simplicity required for a complete description of the theory, but also the richness needed for illustrating the most delicate aspects. The development of Deligne-Lusztig theory was inspired by Drinfeld's example in 1974, and Representations of SL2(Fq) is based upon this example, and extends it to modular representation theory. To this end, the author makes use of fundamental results of l-adic cohomology. In order to efficiently use this machinery, a precise study of the geometric properties of the action of SL2(Fq) on the Drinfeld curve is conducted, with particular attention to the construction of quotients by various finite groups. At the end of the text, a succinct overview (without proof) of Deligne-Lusztig theory is given, as well as links to examples demonstrated in the text. With the provision of both a gentle introduction and several recent materials (for instance, Rouquier's theorem on derived equivalences of geometric nature), this book will be of use to graduate and postgraduate students, as well as researchers and lecturers with an interest in Deligne-Lusztig theory.
Author: Pham Huu Tiep![Globally irreducible representations of SL3 [SL tief 3] (q) PDF](https://books.google.com/books/content/images/frontcover/2wj4GwAACAAJ?fife=w80-h100)
Author: Huu-Tiep Pham
Author: Jie Du