The Finite Irreducible Linear 2 Groups Of Degree 4

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The Finite Irreducible Linear 2 Groups Of Degree 4

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Author : Dane Laurence Flannery
language : en
Publisher: American Mathematical Soc.
Release Date : 1997

The Finite Irreducible Linear 2 Groups Of Degree 4 written by Dane Laurence Flannery and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.

This memoir contains a complete classification of the finite irreducible 2-subgroups of GL(4, C). Specifically, the author provides a parametrized list of representatives for the conjugacy classes of such groups, where each representative is defined by generating a set of monomial matrices. The problem is treated by a variety of techniques, including: elementary character theory; a method for describing Hasse diagrams of submodule lattices; and calculation of 2-cohomology by means of the Lyndon-Hochschild-Serre spectral sequence. Related questions concerning isomorphism between the listed groups and Schur indices of their defining characters are also considered

The Siegel Modular Variety Of Degree Two And Level Four Cohomology Of The Siegel Modular Group Of Degree Two And Level Four

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Author : Ronnie Lee
language : en
Publisher: American Mathematical Soc.
Release Date : 1998

The Siegel Modular Variety Of Degree Two And Level Four Cohomology Of The Siegel Modular Group Of Degree Two And Level Four written by Ronnie Lee and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.

Enthält: The Siegel modular variety of degree two and level four / Ronnie Lee, Steven H. Weintraub. Cohomology of the Siegel modular group of degree two and level four / J. William Hoffman, Steven H. Weintraub.

Two Classes Of Riemannian Manifolds Whose Geodesic Flows Are Integrable

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Author : Kazuyoshi Kiyohara
language : en
Publisher: American Mathematical Soc.
Release Date : 1997

Two Classes Of Riemannian Manifolds Whose Geodesic Flows Are Integrable written by Kazuyoshi Kiyohara and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.

Two classes of manifolds whose geodesic flows are integrable are defined, and their global structures are investigated. They are called Liouville manifolds and Kahler-Liouville manifolds respectively. In each case, the author finds several invariants with which they are partly classified. The classification indicates, in particular, that these classes contain many new examples of manifolds with integrable geodesic flow.

Model Theory And Linear Extreme Points In The Numerical Radius Unit Ball

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Author : Michael A. Dritschel
language : en
Publisher: American Mathematical Soc.
Release Date : 1997

Model Theory And Linear Extreme Points In The Numerical Radius Unit Ball written by Michael A. Dritschel and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.

This memoir initiates a model theory-based study of the numerical radius norm. Guided by the abstract model theory of Jim Agler, the authors propose a decomposition for operators that is particularly useful in understanding their properties with respect to the numerical radius norm. Of the topics amenable to investigation with these tools, the following are presented: a complete description of the linear extreme points of the non-matrix (numerical radius) unit ball; several equivalent characterizations of matricial extremals in the unit ball, that is, those members which do not allow a nontrivial extension remaining in the unit ball; and applications to numerical ranges of matrices, including a complete parameterization of all matrices whose numerical ranges are closed disks.

Matching Of Orbital Integrals On Gl 4 And Gsp 2

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Author : Yuval Zvi Flicker
language : en
Publisher: American Mathematical Soc.
Release Date : 1999

Matching Of Orbital Integrals On Gl 4 And Gsp 2 written by Yuval Zvi Flicker and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.

The trace formula is the most powerful tool currently available to establish liftings of automorphic forms, as predicted by Langlands principle of functionality. The geometric part of the trace formula consists of orbital integrals, and the lifting is based on the fundamental lemma. The latter is an identity of the relevant orbital integrals for the unit elements of the Hecke algebras. This volume concerns a proof of the fundamental lemma in the classically most interesting case of Siegel modular forms, namely the symplectic group Sp(2). These orbital integrals are compared with those on GL(4), twisted by the transpose inverse involution. The technique of proof is elementary. Compact elements are decomposed into their absolutely semi-simple and topologically unipotent parts also in the twisted case; a double coset decomposition of the form H\ G/K--where H is a subgroup containing the centralizer--plays a key role.

Generalizations Of The Perron Frobenius Theorem For Nonlinear Maps

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Author : Roger D. Nussbaum
language : en
Publisher: American Mathematical Soc.
Release Date : 1999

Generalizations Of The Perron Frobenius Theorem For Nonlinear Maps written by Roger D. Nussbaum and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.

The classical Frobenius-Perron Theorem establishes the existence of periodic points of certain linear maps in ${\mathbb R} DEGREESn$. The authors present generalizations of this theorem to nonlinea

Limit Theorems For Functionals Of Ergodic Markov Chains With General State Space

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Author : Xia Chen
language : en
Publisher: American Mathematical Soc.
Release Date : 1999

Limit Theorems For Functionals Of Ergodic Markov Chains With General State Space written by Xia Chen and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.

This book is intended for graduate students and research mathematicians working probability theory and statistics.

Differential Equations Methods For The Monge Kantorovich Mass Transfer Problem

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Author : Lawrence C. Evans
language : en
Publisher: American Mathematical Soc.
Release Date : 1999

Differential Equations Methods For The Monge Kantorovich Mass Transfer Problem written by Lawrence C. Evans and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.

In this volume, the authors demonstrate under some assumptions on $f $, $f $ that a solution to the classical Monge-Kantorovich problem of optimally rearranging the measure $\mu{ }=f dx$ onto $\mu =f dy$ can be constructed by studying the $p$-Laplacian equation $- \roman{div}(\vert DU_p\vert p-2}Du_p)=f -f $ in the limit as $p\rightarrow\infty$. The idea is to show $u_p\rightarrow u$, where $u$ satisfies $\vert Du\vert\leq 1, -\roman{div}(aDu)=f -f $ for some density $a\geq0$, and then to build a flow by solving a nonautonomous ODE involving $a, Du, f $ and $f $

Hopf Algebras Polynomial Formal Groups And Raynaud Orders

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Author : Lindsay Childs
language : en
Publisher: American Mathematical Soc.
Release Date : 1998

Hopf Algebras Polynomial Formal Groups And Raynaud Orders written by Lindsay Childs and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.

This volume gives two new methods for constructing $p$-elementary Hopf algebra orders over the valuation ring $R$ of a local field $K$ containing the $p$-adic rational numbers. One method constructs Hopf orders using isogenies of commutative degree 2 polynomial formal groups of dimension $n$, and is built on a systematic study of such formal group laws. The other method uses an exponential generalization of a 1992 construction of Greither. Both constructions yield Raynaud orders as iterated extensions of rank $p$ Hopf algebras; the exponential method obtains all Raynaud orders whose invariants satisfy a certain $p$-adic condition.

Hodge Theory In The Sobolev Topology For The De Rham Complex

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Author : Luigi Fontana
language : en
Publisher: American Mathematical Soc.
Release Date : 1998

Hodge Theory In The Sobolev Topology For The De Rham Complex written by Luigi Fontana and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.

In this book, the authors treat the full Hodge theory for the de Rham complex when calculated in the Sobolev topology rather than in the $L2$ topology. The use of the Sobolev topology strikingly alters the problem from the classical setup and gives rise to a new class of elliptic boundary value problems. The study takes place on both the upper half space and on a smoothly bounded domain. It features: a good introduction to elliptic theory, pseudo-differential operators, and boundary value problems; theorems completely explained and proved; and new geometric tools for differential analysis on domains and manifolds.