Abelian Galois Cohomology of Reductive Groups PDF Download
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Author: Mikhail Borovoi
Publisher: American Mathematical Soc.
ISBN: 0821806505
Category : Mathematics
Languages : en
Pages : 65
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Book Description
In this volume, a new function H 2/ab (K, G) of abelian Galois cohomology is introduced from the category of connected reductive groups G over a field K of characteristic 0 to the category of abelian groups. The abelian Galois cohomology and the abelianization map ab1: H1 (K, G) -- H 2/ab (K, G) are used to give a functorial, almost explicit description of the usual Galois cohomology set H1 (K, G) when K is a number field
Author: Mikhail Borovoi
Publisher: American Mathematical Soc.
ISBN: 0821806505
Category : Mathematics
Languages : en
Pages : 65
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Book Description
In this volume, a new function H 2/ab (K, G) of abelian Galois cohomology is introduced from the category of connected reductive groups G over a field K of characteristic 0 to the category of abelian groups. The abelian Galois cohomology and the abelianization map ab1: H1 (K, G) -- H 2/ab (K, G) are used to give a functorial, almost explicit description of the usual Galois cohomology set H1 (K, G) when K is a number field
Author: Edward Norman Dancer
Publisher: American Mathematical Soc.
ISBN: 0821811827
Category : Mathematics
Languages : en
Pages : 97
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Book Description
This book is intended for graduate students and research mathematicians working in partial differential equations.
Author: Xingde Dai
Publisher: American Mathematical Soc.
ISBN: 0821808001
Category : Mathematics
Languages : en
Pages : 82
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Book Description
Investigates topological and structural properties of the set W(U) of all complete wandering vectors for a system U of unitary operators acting on a Hilbert space. The authors parameterize W(U) in terms of a fixed vector y and the set of all unitary operators which locally commute with U at y. No index. Annotation copyrighted by Book News, Inc., Portland, OR
Author: Gunnar Fløystad
Publisher: American Mathematical Soc.
ISBN: 0821808532
Category : Mathematics
Languages : en
Pages : 82
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Book Description
Given a homogeneous ideal I and a monomial order, the initials ideal in (I) can be formed. The initial idea gives information about I, but quite a lot of information is also lost. The author remedies this by defining a series of higher initial ideals of a homogenous ideal, and considers the case when I is the homogenous ideal of a curve in P3 and the monomial order is reverse lexicographic. No index. Annotation copyrighted by Book News, Inc., Portland, OR
Author: Magdy Assem
Publisher: American Mathematical Soc.
ISBN: 082180765X
Category : Mathematics
Languages : en
Pages : 119
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Book Description
The invariant integrals of spherical functions over certain infinite families of unipotent orbits in symplectic groups over a p-adic field of characteristic zero are explicitly calculated. The results are then put into a conjectural framework that predicts for split classical groups which linear combinations of unipotent orbital integrals are stable distributions. No index. Annotation copyrighted by Book News, Inc., Portland, OR
Author: Wolfgang Bulla
Publisher: American Mathematical Soc.
ISBN: 0821808087
Category : Mathematics
Languages : en
Pages : 97
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Book Description
In this work, the authors provide a self-contained discussion of all real-valued quasi-periodic finite-gap solutions of the Toda and Kac-van Moerbeke hierarchies of completely integrable evolution equations. The approach utilizes algebro-geometric methods, factorization techniques for finite difference expressions, as well as Miura-type transformations. Detailed spectral theoretic properties of Lax pairs and theta function representations of the solutions are derived. Features: Simple and unified treatment of the topic. Self-contained development. Novel results for the Kac-van Moerbeke hierarchy and its algebro-geometric solutions.
Author: Xia Chen
Publisher: American Mathematical Soc.
ISBN: 082181060X
Category : Mathematics
Languages : en
Pages : 225
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Book Description
This book is intended for graduate students and research mathematicians working probability theory and statistics.
Author: George Lawrence Ashline
Publisher: American Mathematical Soc.
ISBN: 0821810693
Category : Mathematics
Languages : en
Pages : 95
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Book Description
This book is intended for graduate students and research mathematicians working in several complex variables and analytic spaces.
Author: Ching-Chau Yu
Publisher: American Mathematical Soc.
ISBN: 0821807846
Category : Mathematics
Languages : en
Pages : 106
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Book Description
Explores the failure of analytic-hypoellipticity of two partial differential operators. The operators are sums of squares of real analytic vector fields and satisfy Hormander's condition. By reducing to an ordinary differential operator, the author shows the existence of non-linear eigenvalues, which is used to disprove analytic- hypoellipticity of the original operators. No index. Annotation copyrighted by Book News, Inc., Portland, OR
Author: Peter W. Bates
Publisher: American Mathematical Soc.
ISBN: 0821808680
Category : Mathematics
Languages : en
Pages : 145
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Book Description
Extends the theory for normally hyperbolic invariant manifolds to infinite dimensional dynamical systems in a Banach space, thereby providing tools for the study of PDE's and other infinite dimensional equations of evolution. In the process, the authors establish the existence of center-unstable and center-stable manifolds in a neighborhood of the unperturbed compact manifold. No index. Annotation copyrighted by Book News, Inc., Portland, OR
