Fourier Transforms Of Invariant Functions On Finite Reductive Lie Algebras
DOWNLOAD
Download Fourier Transforms Of Invariant Functions On Finite Reductive Lie Algebras PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Fourier Transforms Of Invariant Functions On Finite Reductive Lie Algebras book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Fourier Transforms Of Invariant Functions On Finite Reductive Lie Algebras
DOWNLOAD
Author : Emmanuel Letellier
language : en
Publisher: Springer
Release Date : 2004-11-15
Fourier Transforms Of Invariant Functions On Finite Reductive Lie Algebras written by Emmanuel Letellier and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-11-15 with Mathematics categories.
The Fourier transforms of invariant functions on finite reductive Lie algebras are due to T.A. Springer (1976) in connection with the geometry of nilpotent orbits. In this book the author studies Fourier transforms using Deligne-Lusztig induction and the Lie algebra version of Lusztig’s character sheaves theory. He conjectures a commutation formula between Deligne-Lusztig induction and Fourier transforms that he proves in many cases. As an application the computation of the values of the trigonometric sums (on reductive Lie algebras) is shown to reduce to the computation of the generalized Green functions and to the computation of some fourth roots of unity.
Fourier Transforms Of Invariant Functions On Finite Reductive Lie Algebras
DOWNLOAD
Author : Emmanuel Letellier
language : en
Publisher: Springer
Release Date : 2004-12-02
Fourier Transforms Of Invariant Functions On Finite Reductive Lie Algebras written by Emmanuel Letellier and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-12-02 with Mathematics categories.
The Fourier transforms of invariant functions on finite reductive Lie algebras are due to T.A. Springer (1976) in connection with the geometry of nilpotent orbits. In this book the author studies Fourier transforms using Deligne-Lusztig induction and the Lie algebra version of Lusztig’s character sheaves theory. He conjectures a commutation formula between Deligne-Lusztig induction and Fourier transforms that he proves in many cases. As an application the computation of the values of the trigonometric sums (on reductive Lie algebras) is shown to reduce to the computation of the generalized Green functions and to the computation of some fourth roots of unity.
Fourier Transforms Of Invariant Functions On Finite Reductive Lie Algebras
DOWNLOAD
Author :
language : en
Publisher: Springer Science & Business Media
Release Date : 2004
Fourier Transforms Of Invariant Functions On Finite Reductive Lie Algebras written by 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 2004 with Fourier transformations categories.
Algebraic Groups And Lie Groups With Few Factors
DOWNLOAD
Author : Alfonso Di Bartolo
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-04-17
Algebraic Groups And Lie Groups With Few Factors written by Alfonso Di Bartolo 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 2008-04-17 with Mathematics categories.
This volume treats algebraic groups from a group theoretical point of view and compares the results with the analogous issues in the theory of Lie groups. It examines a classification of algebraic groups and Lie groups having only few subgroups.
Biset Functors For Finite Groups
DOWNLOAD
Author : serge Bouc
language : en
Publisher: Springer
Release Date : 2010-03-10
Biset Functors For Finite Groups written by serge Bouc and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-03-10 with Mathematics categories.
This volume exposes the theory of biset functors for finite groups, which yields a unified framework for operations of induction, restriction, inflation, deflation and transport by isomorphism. The first part recalls the basics on biset categories and biset functors. The second part is concerned with the Burnside functor and the functor of complex characters, together with semisimplicity issues and an overview of Green biset functors. The last part is devoted to biset functors defined over p-groups for a fixed prime number p. This includes the structure of the functor of rational representations and rational p-biset functors. The last two chapters expose three applications of biset functors to long-standing open problems, in particular the structure of the Dade group of an arbitrary finite p-group.This book is intended both to students and researchers, as it gives a didactic exposition of the basics and a rewriting of advanced results in the area, with some new ideas and proofs.
Regularity And Approximability Of Electronic Wave Functions
DOWNLOAD
Author : Harry Yserentant
language : en
Publisher: Springer
Release Date : 2010-05-19
Regularity And Approximability Of Electronic Wave Functions written by Harry Yserentant and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-05-19 with Mathematics categories.
The electronic Schrodi ̈ nger equation describes the motion of N electrons under Coulomb interaction forces in a eld of clamped nuclei. Solutions of this equation depend on 3N variables, three spatial dimensions for each electron. Approxim- ing the solutions is thus inordinately challenging, and it is conventionally believed that a reduction to simpli ed models, such as those of the Hartree-Fock method or density functional theory, is the only tenable approach. This book seeks to c- vince the reader that this conventional wisdom need not be ironclad: the regularity of the solutions, which increases with the number of electrons, the decay behavior of their mixed derivatives, and the antisymmetry enforced by the Pauli principle contribute properties that allow these functions to be approximated with an order of complexity which comes arbitrarily close to that for a system of one or two electrons. The present notes arose from lectures that I gave in Berlin during the academic year 2008/09 to introduce beginning graduate students of mathematics into this subject. They are kept on an intermediate level that should be accessible to an audience of this kind as well as to physicists and theoretical chemists with a c- responding mathematical training.
Generalized Bessel Functions Of The First Kind
DOWNLOAD
Author : Árpád Baricz
language : en
Publisher: Springer
Release Date : 2010-06-17
Generalized Bessel Functions Of The First Kind written by Árpád Baricz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-06-17 with Mathematics categories.
In this volume we study the generalized Bessel functions of the first kind by using a number of classical and new findings in complex and classical analysis. Our aim is to present interesting geometric properties and functional inequalities for these generalized Bessel functions. Moreover, we extend many known inequalities involving circular and hyperbolic functions to Bessel and modified Bessel functions.
Blocks And Families For Cyclotomic Hecke Algebras
DOWNLOAD
Author : Maria Chlouveraki
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-09-14
Blocks And Families For Cyclotomic Hecke Algebras written by Maria Chlouveraki 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 2009-09-14 with Mathematics categories.
The definition of Rouquier for the families of characters introduced by Lusztig for Weyl groups in terms of blocks of the Hecke algebras has made possible the generalization of this notion to the case of complex reflection groups. The aim of this book is to study the blocks and to determine the families of characters for all cyclotomic Hecke algebras associated to complex reflection groups. This volume offers a thorough study of symmetric algebras, covering topics such as block theory, representation theory and Clifford theory, and can also serve as an introduction to the Hecke algebras of complex reflection groups.
Transseries And Real Differential Algebra
DOWNLOAD
Author : Joris van der Hoeven
language : en
Publisher: Springer
Release Date : 2006-10-31
Transseries And Real Differential Algebra written by Joris van der Hoeven and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-10-31 with Mathematics categories.
Transseries are formal objects constructed from an infinitely large variable x and the reals using infinite summation, exponentiation and logarithm. They are suitable for modeling "strongly monotonic" or "tame" asymptotic solutions to differential equations and find their origin in at least three different areas of mathematics: analysis, model theory and computer algebra. They play a crucial role in Écalle's proof of Dulac's conjecture, which is closely related to Hilbert's 16th problem. The aim of the present book is to give a detailed and self-contained exposition of the theory of transseries, in the hope of making it more accessible to non-specialists.
Evolution Algebras And Their Applications
DOWNLOAD
Author : Jianjun Paul Tian
language : en
Publisher: Springer Science & Business Media
Release Date : 2008
Evolution Algebras And Their Applications written by Jianjun Paul Tian 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 2008 with Mathematics categories.
Behind genetics and Markov chains, there is an intrinsic algebraic structure. It is defined as a type of new algebra: as evolution algebra. This concept lies between algebras and dynamical systems. Algebraically, evolution algebras are non-associative Banach algebras; dynamically, they represent discrete dynamical systems. Evolution algebras have many connections with other mathematical fields including graph theory, group theory, stochastic processes, dynamical systems, knot theory, 3-manifolds, and the study of the Ihara-Selberg zeta function. In this volume the foundation of evolution algebra theory and applications in non-Mendelian genetics and Markov chains is developed, with pointers to some further research topics.