Synopsis
This work is the first systematic study of all possible conformally covariant differential operators transforming differential forms on a Riemannian manifold X into those on a submanifold Y with focus on the model space (X, Y) = (Sn, Sn-1).
The authors give a complete classification of all such conformally covariant differential operators, and find their explicit formulæ in the flat coordinates in terms of basic operators in differential geometry and classical hypergeometric polynomials. Resulting families of operators are natural generalizations of the Rankin–Cohen brackets for modular forms and Juhl's operators from conformal holography. The matrix-valued factorization identities among all possible combinations of conformally covariant differential operators are also established.
The main machinery of the proof relies on the "F-method" recently introduced and developed by the authors. It is a general method to construct intertwining operators between C∞-induced representations or to find singular vectors of Verma modules in the context of branching rules, as solutions to differential equations on the Fourier transform side. The book gives a new extension of the F-method to the matrix-valued case in the general setting, which could be applied to other problems as well.
This book offers a self-contained introduction to the analysis of symmetry breaking operators for infinite-dimensional representations of reductive Lie groups. This feature will be helpful for active scientists and accessible to graduate students and young researchers in differential geometry, representation theory, and theoretical physics.
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Conformal symmetry breaking operators for differential forms on spheres. Lecture notes in mathematics; Bd. 2170.
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Singapore, Springer, 2016
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ISBN 13 : 9789811026560
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Softcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-03850 9789811026560 Sprache: Englisch Gewicht in Gramm: 550. N° de réf. du vendeur 2489781
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Conformal Symmetry Breaking Opperators for Differential Forms on Spheres.
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Singapore, Springer., 2016
ISBN 10 : 9811026564
ISBN 13 : 9789811026560
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IX, 192 S. Softcover. Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. Lecture notes in mathematics, 2170. Sprache: Englisch. N° de réf. du vendeur 1678LB
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Conformal Symmetry Breaking Operators for Differential Forms on Spheres (Lecture Notes in Mathematics, 2170)
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Conformal Symmetry Breaking Operators for Differential Forms on Spheres (Lecture Notes in Mathematics, 2170)
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Conformal Symmetry Breaking Operators for Differential Forms on Spheres
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Springer Nature Singapore Okt 2016, 2016
ISBN 10 : 9811026564
ISBN 13 : 9789811026560
Neuf
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Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This work is the first systematic study of all possible conformally covariant differential operators transforming differential forms on a Riemannian manifold X into those on a submanifold Y with focus on the model space(X,Y) = (Sn,Sn-1).The authors give a complete classification of all such conformally covariant differential operators, and find their explicit formulæ in the flat coordinates in terms of basic operators in differential geometry and classical hypergeometric polynomials. Resulting families of operators are natural generalizations of the Rankin-Cohen brackets for modular forms and Juhl's operators from conformal holography. The matrix-valued factorization identities among all possible combinations of conformally covariant differential operators are also established.The main machinery of the proof relies on the 'F-method' recently introduced and developed by the authors. It is a general method to construct intertwining operators betweenC -induced representations or to find singular vectors of Verma modules in the context of branching rules, as solutions to differential equations on the Fourier transform side. The book gives a new extension of the F-method to the matrix-valued case in the general setting, which could be applied to other problems as well.This book offers a self-contained introduction to the analysis of symmetry breakingoperators for infinite-dimensional representations of reductive Lie groups. This feature will be helpful for active scientists and accessible to graduate students and young researchers in differential geometry, representation theory, and theoretical physics. 204 pp. Englisch. N° de réf. du vendeur 9789811026560
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Conformal Symmetry Breaking Operators for Differential Forms on Spheres (Lecture Notes in Mathematics, 2170)
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Etat : New. pp. 204. N° de réf. du vendeur 18378358884
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Conformal Symmetry Breaking Operators for Differential Forms on Spheres (Lecture Notes in Mathematics)
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Paperback. Etat : Brand New. 192 pages. 9.00x6.00x0.50 inches. In Stock. N° de réf. du vendeur zk9811026564
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Conformal Symmetry Breaking Operators for Differential Forms on Spheres
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Springer Singapore, 2016
ISBN 10 : 9811026564
ISBN 13 : 9789811026560
Neuf
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Kartoniert / Broschiert. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Introduces a cutting-edge method for effective construction of symmetry breaking operators for branching rules in representation theoryIncludes hot topics of conformal geometry and global analysis as applications of representation theoryPro. N° de réf. du vendeur 130020110
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Conformal Symmetry Breaking Operators for Differential Forms on Spheres
Edité par
Springer Nature Singapore, Springer Nature Singapore Okt 2016, 2016
ISBN 10 : 9811026564
ISBN 13 : 9789811026560
Neuf
Taschenbuch
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
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Taschenbuch. Etat : Neu. Neuware -This work is the first systematic study of all possible conformally covariant differential operators transforming differential forms on a Riemannian manifold X into those on a submanifold Y with focus on the model space (X, Y) = (Sn, Sn-1).The authors give a complete classification of all such conformally covariant differential operators, and find their explicit formulæ in the flat coordinates in terms of basic operators in differential geometry and classical hypergeometric polynomials. Resulting families of operators are natural generalizations of the Rankin¿Cohen brackets for modular forms and Juhl's operators from conformal holography. The matrix-valued factorization identities among all possible combinations of conformally covariant differential operators are also established.The main machinery of the proof relies on the 'F-method' recently introduced and developed by the authors. It is a general method to construct intertwining operators between C¿-induced representations or to find singular vectors of Verma modules in the context of branching rules, as solutions to differential equations on the Fourier transform side. The book gives a new extension of the F-method to the matrix-valued case in the general setting, which could be applied to other problems as well.This book offers a self-contained introduction to the analysis of symmetry breaking operators for infinite-dimensional representations of reductive Lie groups. This feature will be helpful for active scientists and accessible to graduate students and young researchers in differential geometry, representation theory, and theoretical physics.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 204 pp. Englisch. N° de réf. du vendeur 9789811026560
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Conformal Symmetry Breaking Operators for Differential Forms on Spheres
Edité par
Springer Nature Singapore, Springer Nature Singapore, 2016
ISBN 10 : 9811026564
ISBN 13 : 9789811026560
Neuf
Taschenbuch
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This work is the first systematic study of all possible conformally covariant differential operators transforming differential forms on a Riemannian manifold X into those on a submanifold Y with focus on the model space(X,Y) = (Sn,Sn-1).The authors give a complete classification of all such conformally covariant differential operators, and find their explicit formulæ in the flat coordinates in terms of basic operators in differential geometry and classical hypergeometric polynomials. Resulting families of operators are natural generalizations of the Rankin-Cohen brackets for modular forms and Juhl's operators from conformal holography. The matrix-valued factorization identities among all possible combinations of conformally covariant differential operators are also established.The main machinery of the proof relies on the 'F-method' recently introduced and developed by the authors. It is a general method to construct intertwining operators betweenC -induced representations or to find singular vectors of Verma modules in the context of branching rules, as solutions to differential equations on the Fourier transform side. The book gives a new extension of the F-method to the matrix-valued case in the general setting, which could be applied to other problems as well.This book offers a self-contained introduction to the analysis of symmetry breakingoperators for infinite-dimensional representations of reductive Lie groups. This feature will be helpful for active scientists and accessible to graduate students and young researchers in differential geometry, representation theory, and theoretical physics. N° de réf. du vendeur 9789811026560
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