Invariant Differential Operators and the Cohomology of Lie Algebra Sheaves

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Publisher : American Mathematical Soc.
ISBN 13 : 0821818139
Total Pages : 125 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Invariant Differential Operators and the Cohomology of Lie Algebra Sheaves by : Franz W. Kamber

Download or read book Invariant Differential Operators and the Cohomology of Lie Algebra Sheaves written by Franz W. Kamber and published by American Mathematical Soc.. This book was released on 1971 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Connections, Curvature, and Cohomology Volume 3

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Publisher : Academic Press
ISBN 13 : 0080879276
Total Pages : 617 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Connections, Curvature, and Cohomology Volume 3 by : Werner Greub

Download or read book Connections, Curvature, and Cohomology Volume 3 written by Werner Greub and published by Academic Press. This book was released on 1976-02-19 with total page 617 pages. Available in PDF, EPUB and Kindle. Book excerpt: Connections, Curvature, and Cohomology Volume 3

Connections, Curvature, and Cohomology

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Publisher : Academic Press
ISBN 13 : 0123027039
Total Pages : 618 pages
Book Rating : 4.1/5 (23 download)

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Book Synopsis Connections, Curvature, and Cohomology by : Werner Hildbert Greub

Download or read book Connections, Curvature, and Cohomology written by Werner Hildbert Greub and published by Academic Press. This book was released on 1972 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph developed out of the Abendseminar of 1958-1959 at the University of Zürich. The purpose of this monograph is to develop the de Rham cohomology theory, and to apply it to obtain topological invariants of smooth manifolds and fibre bundles. It also addresses the purely algebraic theory of the operation of a Lie algebra in a graded differential algebra.

Continuous Cohomology of the Lie Algebra of Vector Fields

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Publisher : American Mathematical Soc.
ISBN 13 : 0821822535
Total Pages : 161 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Continuous Cohomology of the Lie Algebra of Vector Fields by : Tōru Tsujishita

Download or read book Continuous Cohomology of the Lie Algebra of Vector Fields written by Tōru Tsujishita and published by American Mathematical Soc.. This book was released on 1981 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper collects notations, definitions and facts about distributions, differential graded algebras, continuous cohomology of topological Lie algebras, etc. and state the main results. We then recall the results of Guillemin-Losik, Losik and Haefliger, rewriting them in a form suitable for proving them in somewhat different ways from the original proofs. We prove the main theorems, and the theorem from part one.

Applications of Sheaves

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Publisher : Springer
ISBN 13 : 3540348492
Total Pages : 798 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Applications of Sheaves by : M. P. Fourman

Download or read book Applications of Sheaves written by M. P. Fourman and published by Springer. This book was released on 2006-11-15 with total page 798 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lie Groupoids and Lie Algebroids in Differential Geometry

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Publisher : Cambridge University Press
ISBN 13 : 052134882X
Total Pages : 345 pages
Book Rating : 4.5/5 (213 download)

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Book Synopsis Lie Groupoids and Lie Algebroids in Differential Geometry by : K. Mackenzie

Download or read book Lie Groupoids and Lie Algebroids in Differential Geometry written by K. Mackenzie and published by Cambridge University Press. This book was released on 1987-06-25 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a striking synthesis of the standard theory of connections in principal bundles and the Lie theory of Lie groupoids. The concept of Lie groupoid is a little-known formulation of the concept of principal bundle and corresponding to the Lie algebra of a Lie group is the concept of Lie algebroid: in principal bundle terms this is the Atiyah sequence. The author's viewpoint is that certain deep problems in connection theory are best addressed by groupoid and Lie algebroid methods. After preliminary chapters on topological groupoids, the author gives the first unified and detailed account of the theory of Lie groupoids and Lie algebroids. He then applies this theory to the cohomology of Lie algebroids, re-interpreting connection theory in cohomological terms, and giving criteria for the existence of (not necessarily Riemannian) connections with prescribed curvature form. This material, presented in the last two chapters, is work of the author published here for the first time. This book will be of interest to differential geometers working in general connection theory and to researchers in theoretical physics and other fields who make use of connection theory.

Foliated Bundles and Characteristic Classes

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Publisher : Springer
ISBN 13 : 3540379568
Total Pages : 224 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Foliated Bundles and Characteristic Classes by : Franz W. Kamber

Download or read book Foliated Bundles and Characteristic Classes written by Franz W. Kamber and published by Springer. This book was released on 2006-11-14 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Galois Theory, Hopf Algebras, and Semiabelian Categories

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821871478
Total Pages : 588 pages
Book Rating : 4.8/5 (714 download)

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Book Synopsis Galois Theory, Hopf Algebras, and Semiabelian Categories by : George Janelidze, Bodo Pareigis, and Walter Tholen

Download or read book Galois Theory, Hopf Algebras, and Semiabelian Categories written by George Janelidze, Bodo Pareigis, and Walter Tholen and published by American Mathematical Soc.. This book was released on with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Galois Theory, Hopf Algebras, and Semiabelian Categories

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Publisher : American Mathematical Soc.
ISBN 13 : 0821832905
Total Pages : 582 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Galois Theory, Hopf Algebras, and Semiabelian Categories by : George Janelidze

Download or read book Galois Theory, Hopf Algebras, and Semiabelian Categories written by George Janelidze and published by American Mathematical Soc.. This book was released on 2004 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is based on talks given at the Workshop on Categorical Structures for Descent and Galois Theory, Hopf Algebras, and Semiabelian Categories held at The Fields Institute for Research in Mathematical Sciences (Toronto, ON, Canada). The meeting brought together researchers working in these interrelated areas. This collection of survey and research papers gives an up-to-date account of the many current connections among Galois theories, Hopf algebras, and semiabeliancategories. The book features articles by leading researchers on a wide range of themes, specifically, abstract Galois theory, Hopf algebras, and categorical structures, in particular quantum categories and higher-dimensional structures. Articles are suitable for graduate students and researchers,specifically those interested in Galois theory and Hopf algebras and their categorical unification.

Differential Geometry of Foliations

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Publisher : Springer Science & Business Media
ISBN 13 : 3642690157
Total Pages : 205 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Differential Geometry of Foliations by : B.L. Reinhart

Download or read book Differential Geometry of Foliations written by B.L. Reinhart and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: Whoever you are! How can I but offer you divine leaves . . . ? Walt Whitman The object of study in modern differential geometry is a manifold with a differ ential structure, and usually some additional structure as well. Thus, one is given a topological space M and a family of homeomorphisms, called coordinate sys tems, between open subsets of the space and open subsets of a real vector space V. It is supposed that where two domains overlap, the images are related by a diffeomorphism, called a coordinate transformation, between open subsets of V. M has associated with it a tangent bundle, which is a vector bundle with fiber V and group the general linear group GL(V). The additional structures that occur include Riemannian metrics, connections, complex structures, foliations, and many more. Frequently there is associated to the structure a reduction of the group of the tangent bundle to some subgroup G of GL(V). It is particularly pleasant if one can choose the coordinate systems so that the Jacobian matrices of the coordinate transformations belong to G. A reduction to G is called a G-structure, which is called integrable (or flat) if the condition on the Jacobians is satisfied. The strength of the integrability hypothesis is well-illustrated by the case of the orthogonal group On. An On-structure is given by the choice of a Riemannian metric, and therefore exists on every smooth manifold.

Continuous Cohomology of Spaces with Two Topologies

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Publisher : American Mathematical Soc.
ISBN 13 : 082182175X
Total Pages : 156 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Continuous Cohomology of Spaces with Two Topologies by : Mark Alan Mostow

Download or read book Continuous Cohomology of Spaces with Two Topologies written by Mark Alan Mostow and published by American Mathematical Soc.. This book was released on 1976 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper investigates the continuous cohomology of spaces with two topologies. The present paper studies other possible definitions of continuous cohomology and compares them by computing examples and by introducing four axioms which are shown to characterize the continuous cohomology of a foliated manifold (with its ordinary and leaf topologies).

General Theory of Lie Groupoids and Lie Algebroids

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Publisher : Cambridge University Press
ISBN 13 : 0521499283
Total Pages : 540 pages
Book Rating : 4.5/5 (214 download)

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Book Synopsis General Theory of Lie Groupoids and Lie Algebroids by : Kirill C. H. Mackenzie

Download or read book General Theory of Lie Groupoids and Lie Algebroids written by Kirill C. H. Mackenzie and published by Cambridge University Press. This book was released on 2005-06-09 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: This a comprehensive modern account of the theory of Lie groupoids and Lie algebroids, and their importance in differential geometry, in particular their relations with Poisson geometry andgeneral connection theory. It covers much work done since the mid 1980s including the first treatment in book form of Poisson groupoids, Lie bialgebroids and double vector bundles. As such, this book will be of great interest to all those working in or wishing to learn the modern theory of Lie groupoids and Lie algebroids.

Geometry and Differential Geometry

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Publisher : Springer
ISBN 13 : 3540392149
Total Pages : 453 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Geometry and Differential Geometry by : R. Artzy

Download or read book Geometry and Differential Geometry written by R. Artzy and published by Springer. This book was released on 2006-11-15 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Towards Non-Abelian P-adic Hodge Theory in the Good Reduction Case

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Publisher : American Mathematical Soc.
ISBN 13 : 082185240X
Total Pages : 170 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Towards Non-Abelian P-adic Hodge Theory in the Good Reduction Case by : Martin C. Olsson

Download or read book Towards Non-Abelian P-adic Hodge Theory in the Good Reduction Case written by Martin C. Olsson and published by American Mathematical Soc.. This book was released on 2011-02-07 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author develops a non-abelian version of $p$-adic Hodge Theory for varieties (possibly open with ``nice compactification'') with good reduction. This theory yields in particular a comparison between smooth $p$-adic sheaves and $F$-isocrystals on the level of certain Tannakian categories, $p$-adic Hodge theory for relative Malcev completions of fundamental groups and their Lie algebras, and gives information about the action of Galois on fundamental groups.

Differential Geometry and Relativity

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Publisher : Springer Science & Business Media
ISBN 13 : 9401015082
Total Pages : 303 pages
Book Rating : 4.4/5 (1 download)

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Book Synopsis Differential Geometry and Relativity by : M. Cahen

Download or read book Differential Geometry and Relativity written by M. Cahen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: On the occasion of the sixtieth birthday of Andre Lichnerowicz a number of his friends, many of whom have been his students or coworkers, decided to celebrate this event by preparing a jubilee volume of contributed articles in the two main fields of research marked by Lichnerowicz's work, namely differential geometry and mathematical physics. Limitations of space and time did not enable us to include papers from all Lichnerowicz's friends nor from all his former students. It was equally impossible to reflect in a single book the great variety of subjects tackled by Lichnerowicz. In spite of these limitations, we hope that this book reflects some of the present trends of fields in which he worked, and some of the subjects to which he contributed in his long - and not yet finished - career. This career was very much marked by the influence of his masters, Elie Cartan who introduced him to research in mathematics, mainly in geometry and its relations with mathematical physics, and Georges Darmois who developed his interest for mechanics and physics, especially the theory of relativity and electromagnetism. This par ticular combination, and his personal talent, made of him a natural scientific heir and continuator of the French mathematical physics school in the tradition of Henri Poincare. Some of his works would even be best qualified by a new field name, that of physical ma thematics: branches of pure mathematics entirely motivated by physics.

Singular and Degenerate Cauchy Problems

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Publisher : Academic Press
ISBN 13 : 008095636X
Total Pages : 343 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Singular and Degenerate Cauchy Problems by :

Download or read book Singular and Degenerate Cauchy Problems written by and published by Academic Press. This book was released on 1977-01-13 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation; methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory. As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particular branches, such as optimal filtering and information compression. - Best operator approximation, - Non-Lagrange interpolation, - Generic Karhunen-Loeve transform - Generalised low-rank matrix approximation - Optimal data compression - Optimal nonlinear filtering

Harmonic Maps

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Publisher : Springer
ISBN 13 : 3540393609
Total Pages : 167 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Harmonic Maps by : U. R. J. Knill

Download or read book Harmonic Maps written by U. R. J. Knill and published by Springer. This book was released on 2006-11-15 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: