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Refinar búsquedaLie Groups: Structure, Actions, and Representations / SpringerLink (Online service) ; Alan T. Huckleberry ; Penkov, Ivan ; Gregg Zuckerman (2013)
Título : Lie Groups: Structure, Actions, and Representations : In Honor of Joseph A. Wolf on the Occasion of his 75th Birthday Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Alan T. Huckleberry ; Penkov, Ivan ; Gregg Zuckerman Editorial: New York, NY : Springer New York Fecha de publicación: 2013 Otro editor: Imprint: Birkhäuser Colección: Progress in Mathematics, ISSN 0743-1643 num. 306 Número de páginas: XIV, 413 p Il.: online resource ISBN/ISSN/DL: 978-1-4614-7193-6 Idioma : Inglés (eng) Palabras clave: Mathematics Associative rings Rings (Algebra) Topological groups Lie Functional analysis Groups, Groups and Algebras Analysis Clasificación: 51 Matemáticas Resumen: Lie Groups: Structures, Actions, and Representations, In Honor of Joseph A. Wolf on the Occasion of his 75th Birthday consists of invited expository and research articles on new developments arising from Wolf's profound contributions to mathematics. Due to Professor Wolf’s broad interests, outstanding mathematicians and scholars in a wide spectrum of mathematical fields contributed to the volume. Algebraic, geometric, and analytic methods are employed. More precisely, finite groups and classical finite dimensional, as well as infinite-dimensional Lie groups, and algebras play a role. Actions on classical symmetric spaces, and on abstract homogeneous and representation spaces are discussed. Contributions in the area of representation theory involve numerous viewpoints, including that of algebraic groups and various analytic aspects of harmonic analysis. Contributors D. Akhiezer T. Oshima A. Andrada I. Pacharoni M. L. Barberis F. Ricci L. Barchini S. Rosenberg I. Dotti N. Shimeno M. Eastwood J. Tirao V. Fischer S. Treneer T. Kobayashi C.T.C. Wall A. Korányi D. Wallace B. Kostant K. Wiboonton P. Kostelec F. Xu K.-H. Neeb O. Yakimova G. Olafsson R. Zierau B. Ørsted Nota de contenido: Preface -- Real group orbits on flag manifolds -- Complex connections with trivial holonomy -- Indefinite harmonic theory and harmonic spinors -- Twistor theory and the harmonic hull -- Nilpotent Gelfand pairs and spherical transforms of Schwartz functions, II: Taylor expansions on singular sets -- Propagation of the multiplicity-freeness property for holomorphic vector bundles -- Poisson transforms for line bundles from the Shilov boundary to bounded symmetric domains -- Cent(U(n)), cascade of orthogonal roots, and a construction of Lipsman–Wolf -- Weakly harmonic Maaß forms and the principal series for SL(2,R) -- Holomorphic realization of unitary representations of Banach-Lie groups -- The Segal–Bargmann transform on compact symmetric spaces and their direct limits -- Analysis on flag manifolds and Sobolev inequalities -- Boundary value problems on Riemannian symmetric spaces of noncompact type -- One step spherical functions of the pair (SU(n + 1), U(n)) -- Chern–Weil theory for certain infinite-dimensional Lie groups -- On the structure of finite groups with periodic cohomology En línea: http://dx.doi.org/10.1007/978-1-4614-7193-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32340 Lie Groups: Structure, Actions, and Representations : In Honor of Joseph A. Wolf on the Occasion of his 75th Birthday [documento electrónico] / SpringerLink (Online service) ; Alan T. Huckleberry ; Penkov, Ivan ; Gregg Zuckerman . - New York, NY : Springer New York : Imprint: Birkhäuser, 2013 . - XIV, 413 p : online resource. - (Progress in Mathematics, ISSN 0743-1643; 306) .
ISBN : 978-1-4614-7193-6
Idioma : Inglés (eng)
Palabras clave: Mathematics Associative rings Rings (Algebra) Topological groups Lie Functional analysis Groups, Groups and Algebras Analysis Clasificación: 51 Matemáticas Resumen: Lie Groups: Structures, Actions, and Representations, In Honor of Joseph A. Wolf on the Occasion of his 75th Birthday consists of invited expository and research articles on new developments arising from Wolf's profound contributions to mathematics. Due to Professor Wolf’s broad interests, outstanding mathematicians and scholars in a wide spectrum of mathematical fields contributed to the volume. Algebraic, geometric, and analytic methods are employed. More precisely, finite groups and classical finite dimensional, as well as infinite-dimensional Lie groups, and algebras play a role. Actions on classical symmetric spaces, and on abstract homogeneous and representation spaces are discussed. Contributions in the area of representation theory involve numerous viewpoints, including that of algebraic groups and various analytic aspects of harmonic analysis. Contributors D. Akhiezer T. Oshima A. Andrada I. Pacharoni M. L. Barberis F. Ricci L. Barchini S. Rosenberg I. Dotti N. Shimeno M. Eastwood J. Tirao V. Fischer S. Treneer T. Kobayashi C.T.C. Wall A. Korányi D. Wallace B. Kostant K. Wiboonton P. Kostelec F. Xu K.-H. Neeb O. Yakimova G. Olafsson R. Zierau B. Ørsted Nota de contenido: Preface -- Real group orbits on flag manifolds -- Complex connections with trivial holonomy -- Indefinite harmonic theory and harmonic spinors -- Twistor theory and the harmonic hull -- Nilpotent Gelfand pairs and spherical transforms of Schwartz functions, II: Taylor expansions on singular sets -- Propagation of the multiplicity-freeness property for holomorphic vector bundles -- Poisson transforms for line bundles from the Shilov boundary to bounded symmetric domains -- Cent(U(n)), cascade of orthogonal roots, and a construction of Lipsman–Wolf -- Weakly harmonic Maaß forms and the principal series for SL(2,R) -- Holomorphic realization of unitary representations of Banach-Lie groups -- The Segal–Bargmann transform on compact symmetric spaces and their direct limits -- Analysis on flag manifolds and Sobolev inequalities -- Boundary value problems on Riemannian symmetric spaces of noncompact type -- One step spherical functions of the pair (SU(n + 1), U(n)) -- Chern–Weil theory for certain infinite-dimensional Lie groups -- On the structure of finite groups with periodic cohomology En línea: http://dx.doi.org/10.1007/978-1-4614-7193-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32340 Ejemplares
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Título : Rational Homotopy Theory and Differential Forms Tipo de documento: documento electrónico Autores: Phillip A. Griffiths ; SpringerLink (Online service) ; John Morgan Editorial: New York, NY : Springer New York Fecha de publicación: 2013 Otro editor: Imprint: Birkhäuser Colección: Progress in Mathematics, ISSN 0743-1643 num. 16 Número de páginas: XI, 227 p. 46 illus Il.: online resource ISBN/ISSN/DL: 978-1-4614-8468-4 Idioma : Inglés (eng) Palabras clave: Mathematics Algebra Category theory (Mathematics) Homological algebra Commutative rings Topology Algebraic topology Theory, Rings and Algebras Clasificación: 51 Matemáticas Resumen: “Rational homotopy theory is today one of the major trends in algebraic topology. Despite the great progress made in only a few years, a textbook properly devoted to this subject still was lacking until now… The appearance of the text in book form is highly welcome, since it will satisfy the need of many interested people. Moreover, it contains an approach and point of view that do not appear explicitly in the current literature.” —Zentralblatt MATH (Review of First Edition) “The monograph is intended as an introduction to the theory of minimal models. Anyone who wishes to learn about the theory will find this book a very helpful and enlightening one. There are plenty of examples, illustrations, diagrams and exercises. The material is developed with patience and clarity. Efforts are made to avoid generalities and technicalities that may distract the reader or obscure the main theme. The theory and its power are elegantly presented. This is an excellent monograph.” —Bulletin of the American Mathematical Society (Review of First Edition) This completely revised and corrected version of the well-known Florence notes circulated by the authors together with E. Friedlander examines basic topology, emphasizing homotopy theory. Included is a discussion of Postnikov towers and rational homotopy theory. This is then followed by an in-depth look at differential forms and de Tham’s theorem on simplical complexes. In addition, Sullivan’s results on computing the rational homotopy type from forms is presented. New to the Second Edition: *Fully-revised appendices including an expanded discussion of the Hirsch lemma *Presentation of a natural proof of a Serre spectral sequence result *Updated content throughout the book, reflecting advances in the area of homotopy theory With its modern approach and timely revisions, this second edition of Rational Homotopy Theory and Differential Forms will be a valuable resource for graduate students and researchers in algebraic topology, differential forms, and homotopy theory Nota de contenido: 1 Introduction -- 2 Basic Concepts -- 3 CW Homology Theorem -- 4 The Whitehead Theorem and the Hurewicz Theorem.- 5 Spectral Sequence of a Fibration -- 6 Obstruction Theory -- 7 Eilenberg-MacLane Spaces, Cohomology, and Principal Fibrations -- 8 Postnikov Towers and Rational Homotopy Theory -- 9 deRham's theorem for simplicial complexes -- 10 Differential Graded Algebras -- 11 Homotopy Theory of DGAs -- 12 DGAs and Rational Homotopy Theory -- 13 The Fundamental Group -- 14 Examples and Computations -- 15 Functorality -- 16 The Hirsch Lemma -- 17 Quillen's work on Rational Homotopy Theory -- 18 A1-structures and C1-structures -- 19 Exercises En línea: http://dx.doi.org/10.1007/978-1-4614-8468-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32389 Rational Homotopy Theory and Differential Forms [documento electrónico] / Phillip A. Griffiths ; SpringerLink (Online service) ; John Morgan . - New York, NY : Springer New York : Imprint: Birkhäuser, 2013 . - XI, 227 p. 46 illus : online resource. - (Progress in Mathematics, ISSN 0743-1643; 16) .
ISBN : 978-1-4614-8468-4
Idioma : Inglés (eng)
Palabras clave: Mathematics Algebra Category theory (Mathematics) Homological algebra Commutative rings Topology Algebraic topology Theory, Rings and Algebras Clasificación: 51 Matemáticas Resumen: “Rational homotopy theory is today one of the major trends in algebraic topology. Despite the great progress made in only a few years, a textbook properly devoted to this subject still was lacking until now… The appearance of the text in book form is highly welcome, since it will satisfy the need of many interested people. Moreover, it contains an approach and point of view that do not appear explicitly in the current literature.” —Zentralblatt MATH (Review of First Edition) “The monograph is intended as an introduction to the theory of minimal models. Anyone who wishes to learn about the theory will find this book a very helpful and enlightening one. There are plenty of examples, illustrations, diagrams and exercises. The material is developed with patience and clarity. Efforts are made to avoid generalities and technicalities that may distract the reader or obscure the main theme. The theory and its power are elegantly presented. This is an excellent monograph.” —Bulletin of the American Mathematical Society (Review of First Edition) This completely revised and corrected version of the well-known Florence notes circulated by the authors together with E. Friedlander examines basic topology, emphasizing homotopy theory. Included is a discussion of Postnikov towers and rational homotopy theory. This is then followed by an in-depth look at differential forms and de Tham’s theorem on simplical complexes. In addition, Sullivan’s results on computing the rational homotopy type from forms is presented. New to the Second Edition: *Fully-revised appendices including an expanded discussion of the Hirsch lemma *Presentation of a natural proof of a Serre spectral sequence result *Updated content throughout the book, reflecting advances in the area of homotopy theory With its modern approach and timely revisions, this second edition of Rational Homotopy Theory and Differential Forms will be a valuable resource for graduate students and researchers in algebraic topology, differential forms, and homotopy theory Nota de contenido: 1 Introduction -- 2 Basic Concepts -- 3 CW Homology Theorem -- 4 The Whitehead Theorem and the Hurewicz Theorem.- 5 Spectral Sequence of a Fibration -- 6 Obstruction Theory -- 7 Eilenberg-MacLane Spaces, Cohomology, and Principal Fibrations -- 8 Postnikov Towers and Rational Homotopy Theory -- 9 deRham's theorem for simplicial complexes -- 10 Differential Graded Algebras -- 11 Homotopy Theory of DGAs -- 12 DGAs and Rational Homotopy Theory -- 13 The Fundamental Group -- 14 Examples and Computations -- 15 Functorality -- 16 The Hirsch Lemma -- 17 Quillen's work on Rational Homotopy Theory -- 18 A1-structures and C1-structures -- 19 Exercises En línea: http://dx.doi.org/10.1007/978-1-4614-8468-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32389 Ejemplares
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