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Symmetry Breaking for Representations of Rank One Orthogonal Groups II: 2234 (Lecture Notes in Mathematics) - Tapa blanda
Sinopsis
This work provides the first classification theory of matrix-valued symmetry breaking operators from principal series representations of a reductive group to those of its subgroup.
The study of symmetry breaking operators (intertwining operators for restriction) is an important and very active research area in modern representation theory, which also interacts with various fields in mathematics and theoretical physics ranging from number theory to differential geometry and quantum mechanics.
The first author initiated a program of the general study of symmetry breaking operators. The present book pursues the program by introducing new ideas and techniques, giving a systematic and detailed treatment in the case of orthogonal groups of real rank one, which will serve as models for further research in other settings.
In connection to automorphic forms, this work includes a proof for a multiplicity conjecture by Gross and Prasad for tempered principal series representations in the case (SO(n + 1, 1), SO(n, 1)). The authors propose a further multiplicity conjecture for nontempered representations.
Viewed from differential geometry, this seminal work accomplishes the classification of all conformally covariant operators transforming differential forms on a Riemanniann manifold X to those on a submanifold in the model space (X, Y) = (Sn, Sn-1). Functional equations and explicit formulæ of these operators are also established.
This book offers a self-contained and inspiring 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 representation theory, automorphic forms, differential geometry, and theoretical physics."Sinopsis" puede pertenecer a otra edición de este libro.
Acerca del autor
Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.
De la contraportada
This work provides the first classification theory of matrix-valued symmetry breaking operators from principal series representations of a reductive group to those of its subgroup.
The study of symmetry breaking operators (intertwining operators for restriction) is an important and very active research area in modern representation theory, which also interacts with various fields in mathematics and theoretical physics ranging from number theory to differential geometry and quantum mechanics.
The first author initiated a program of the general study of symmetry breaking operators. The present book pursues the program by introducing new ideas and techniques, giving a systematic and detailed treatment in the case of orthogonal groups of real rank one, which will serve as models for further research in other settings.
In connection to automorphic forms, this work includes a proof for a multiplicity conjecture by Gross and Prasad for tempered principal series representations in the case (SO(n + 1, 1), SO(n, 1)). The authors propose a further multiplicity conjecture for nontempered representations.
Viewed from differential geometry, this seminal work accomplishes the classification of all conformally covariant operators transforming differential forms on a Riemanniann manifold X to those on a submanifold in the model space (X, Y) = (Sn, Sn-1). Functional equations and explicit formulæ of these operators are also established.
This book offers a self-contained and inspiring 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 representation theory, automorphic forms, differential geometry, and theoretical physics.
"Sobre este título" puede pertenecer a otra edición de este libro.
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Symmetry Breaking for Representations of Rank One Orthogonal Groups II.
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Puchong, Springer Singapore, 2018
ISBN 10: 9811329001
ISBN 13: 9789811329005
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Softcover. 1st edition 2018. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. Ex-library in GOOD condition with library-signature and stamp(s). Some traces of use. R-16288 9789811329005 Sprache: Englisch Gewicht in Gramm: 550. Nº de ref. del artículo: 2479722
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Symmetry Breaking for Representations of Rank One Orthogonal Groups II.
Publicado por
Singapore, Springer., 2018
ISBN 10: 9811329001
ISBN 13: 9789811329005
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Tapa blanda
Librería: Universitätsbuchhandlung Herta Hold GmbH, Berlin, Alemania
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xv, 342 p. Broschur. Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to a crease in the front cover, apart from this in very good condition. Stamped. Lecture Notes in Mathematics, 2234. Sprache: Englisch. Nº de ref. del artículo: 2882MB
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Symmetry Breaking for Representations of Rank One Orthogonal Groups II (Lecture Notes in Mathematics, 2234)
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Condición: New. This is a Brand-new US Edition. This Item may be shipped from US or any other country as we have multiple locations worldwide. Nº de ref. del artículo: ABNR-288948
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Symmetry Breaking for Representations of Rank One Orthogonal Groups II
Publicado por
Springer Nature Singapore Dez 2018, 2018
ISBN 10: 9811329001
ISBN 13: 9789811329005
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Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This work provides the first classification theory of matrix-valued symmetry breaking operators from principal series representations of a reductive group to those of its subgroup.The study ofsymmetry breaking operators(intertwining operators for restriction) is an important and very active research area in modern representation theory, which also interacts with various fields in mathematics and theoretical physics ranging from number theory to differential geometry and quantum mechanics.The first author initiated a program of the general study of symmetry breaking operators. The present book pursues the program by introducing new ideas and techniques, giving a systematic and detailed treatment in the case of orthogonal groups of real rank one, which will serve as models for further research in other settings.In connection to automorphic forms, this work includes a proof for a multiplicity conjecture by Gross and Prasad for tempered principal series representations in the case (SO(n+ 1, 1),SO(n, 1)). The authors propose a further multiplicity conjecture for nontempered representations.Viewed from differential geometry, this seminal work accomplishes the classification of all conformally covariant operators transforming differential forms on a Riemanniann manifoldXto those on a submanifold in the model space (X,Y) = (Sn,Sn-1). Functional equations and explicit formulæ of these operators are also established.This book offers a self-contained and inspiring 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 representation theory, automorphic forms, differential geometry, and theoretical physics. 360 pp. Englisch. Nº de ref. del artículo: 9789811329005
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Symmetry Breaking for Representations of Rank One Orthogonal Groups II (Lecture Notes in Mathematics, 2234)
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Symmetry Breaking for Representations of Rank One Orthogonal Groups II (Lecture Notes in Mathematics)
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Symmetry Breaking for Representations of Rank One Orthogonal Groups II (Lecture Notes in Mathematics)
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Symmetry Breaking for Representations of Rank One Orthogonal Groups II (Lecture Notes in Mathematics, 2234)
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Symmetry Breaking for Representations of Rank One Orthogonal Groups II
Publicado por
Springer Singapore, 2018
ISBN 10: 9811329001
ISBN 13: 9789811329005
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Kartoniert / Broschiert. Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Introduces a new method to construct and classify matrix-valued symmetry breaking operators in representation theoryIncludes hot topics of automorphic forms and conformal geometry as applications of branching rules in represen. Nº de ref. del artículo: 261492097
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Symmetry Breaking for Representations of Rank One Orthogonal Groups II
Publicado por
Springer Nature Singapore, Springer Nature Singapore, 2018
ISBN 10: 9811329001
ISBN 13: 9789811329005
Nuevo
Taschenbuch
Librería: AHA-BUCH GmbH, Einbeck, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - This work provides the first classification theory of matrix-valued symmetry breaking operators from principal series representations of a reductive group to those of its subgroup.The study ofsymmetry breaking operators(intertwining operators for restriction) is an important and very active research area in modern representation theory, which also interacts with various fields in mathematics and theoretical physics ranging from number theory to differential geometry and quantum mechanics.The first author initiated a program of the general study of symmetry breaking operators. The present book pursues the program by introducing new ideas and techniques, giving a systematic and detailed treatment in the case of orthogonal groups of real rank one, which will serve as models for further research in other settings.In connection to automorphic forms, this work includes a proof for a multiplicity conjecture by Gross and Prasad for tempered principal series representations in the case (SO(n+ 1, 1),SO(n, 1)). The authors propose a further multiplicity conjecture for nontempered representations.Viewed from differential geometry, this seminal work accomplishes the classification of all conformally covariant operators transforming differential forms on a Riemanniann manifoldXto those on a submanifold in the model space (X,Y) = (Sn,Sn-1). Functional equations and explicit formulæ of these operators are also established.This book offers a self-contained and inspiring 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 representation theory, automorphic forms, differential geometry, and theoretical physics. Nº de ref. del artículo: 9789811329005
Cantidad disponible: 1 disponibles