Fourier Transforms Of Invariant Functions On Finite Reductive Lie Algebras

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Fourier Transforms Of Invariant Functions On Finite Reductive Lie Algebras

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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

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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.

Algebraic Groups And Lie Groups With Few Factors

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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.

Lectures On The Automorphism Groups Of Kobayashi Hyperbolic Manifolds

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Author : Alexander Isaev
language : en
Publisher: Springer
Release Date : 2007-03-11

Lectures On The Automorphism Groups Of Kobayashi Hyperbolic Manifolds written by Alexander Isaev and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-03-11 with Mathematics categories.

In this monograph the author presents a coherent exposition of recent results on complete characterization of Kobayashi-hyperbolic manifolds with high-dimensional groups of holomorphic automorphisms. These classification results can be viewed as complex-geometric analogues of those known for Riemannian manifolds with high-dimensional isotropy groups that were extensively studied in the 1950s-70s.

Quantum Independent Increment Processes Ii

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Author : Ole E. Barndorff-Nielsen
language : en
Publisher: Springer Science & Business Media
Release Date : 2006

Quantum Independent Increment Processes Ii written by Ole E. Barndorff-Nielsen 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 2006 with Distribution categories.

Lectures given at the school "Quantum Independent Increment Processes: Structure and Applications to Physics" held at the Alfried-Krupp-Wissenschaftskolleg in Greifswald in March 9-22, 2003.

Random Times And Enlargements Of Filtrations In A Brownian Setting

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Author : Roger Mansuy
language : en
Publisher: Springer
Release Date : 2006-07-25

Random Times And Enlargements Of Filtrations In A Brownian Setting written by Roger Mansuy and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-07-25 with Mathematics categories.

In November 2004, M. Yor and R. Mansuy jointly gave six lectures at Columbia University, New York. These notes follow the contents of that course, covering expansion of filtration formulae; BDG inequalities up to any random time; martingales that vanish on the zero set of Brownian motion; the Azéma-Emery martingales and chaos representation; the filtration of truncated Brownian motion; attempts to characterize the Brownian filtration. The book accordingly sets out to acquaint its readers with the theory and main examples of enlargements of filtrations, of either the initial or the progressive kind. It is accessible to researchers and graduate students working in stochastic calculus and excursion theory, and more broadly to mathematicians acquainted with the basics of Brownian motion.

Tutorials In Mathematical Biosciences Iv

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Author : Avner Friedman
language : en
Publisher: Springer
Release Date : 2008-04-26

Tutorials In Mathematical Biosciences Iv written by Avner Friedman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-26 with Mathematics categories.

This book offers an introduction to fast growing research areas in evolution of species, population genetics, ecological models, and population dynamics. It reviews the concept and methodologies of phylogenetic trees, introduces ecological models, examines a broad range of ongoing research in population dynamics, and deals with gene frequencies under the action of migration and selection. The book features computational schemes, illustrations, and mathematical theorems.

Introduction To Symplectic Dirac Operators

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Author : Katharina Habermann
language : en
Publisher: Springer
Release Date : 2006-10-28

Introduction To Symplectic Dirac Operators written by Katharina Habermann and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-10-28 with Mathematics categories.

This volume is the first one that gives a systematic and self-contained introduction to the theory of symplectic Dirac operators and reflects the current state of the subject. At the same time, it is intended to establish the idea that symplectic spin geometry and symplectic Dirac operators may give valuable tools in symplectic geometry and symplectic topology, which have become important fields and very active areas of mathematical research.

Axiom Of Choice

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Author : Horst Herrlich
language : en
Publisher: Springer
Release Date : 2006-07-21

Axiom Of Choice written by Horst Herrlich and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-07-21 with Mathematics categories.

AC, the axiom of choice, because of its non-constructive character, is the most controversial mathematical axiom. It is shunned by some, used indiscriminately by others. This treatise shows paradigmatically that disasters happen without AC and they happen with AC. Illuminating examples are drawn from diverse areas of mathematics, particularly from general topology, but also from algebra, order theory, elementary analysis, measure theory, game theory, and graph theory.

Splitting Deformations Of Degenerations Of Complex Curves

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Author : Shigeru Takamura
language : en
Publisher: Springer
Release Date : 2006-10-11

Splitting Deformations Of Degenerations Of Complex Curves written by Shigeru Takamura and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-10-11 with Mathematics categories.

Here is a deformation theory for degenerations of complex curves; specifically, discussing deformations which induce splitting of the singular fiber of a degeneration. The author constructs a deformation of the degeneration in such a way that a subdivisor is "barked," or peeled off from the singular fiber. "Barking deformations" are related to deformations of surface singularities, in particular, cyclic quotient singularities, as well as the mapping class groups of Riemann surfaces via monodromies.