LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	516.36
Title	Conformal Symmetry Breaking Operators for Differential Forms on Spheres ([EBook]) / by Toshiyuki Kobayashi, Toshihisa Kubo, Michael Pevzner.
Author	Kobayashi, Toshiyuki. , 1962-
Added Personal Name	Kubo, Toshihisa
Added Personal Name	Pevzner, Michael
Other name(s)	SpringerLink (Online service)
Publication	Singapore : Springer Singapore , 2016.
Physical Details	IX, 192 pages : online resource.
Series	Lecture Notes in Mathematics 0075-8434 ; ; 2170
ISBN	9789811026577
Summary Note	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.:
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-981-10-2657-7
Links to Related Works	Subject References: Differential Geometry . Fourier Analysis . Lie groups . Mathematical Physics . Mathematics . Partial differential equations . Symmetry (Mathematics) . Topological groups . Topological groups, Lie groups . Authors: author . Kobayashi, Toshiyuki. 1962- . Kubo, Toshihisa . Pevzner, Michael . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 516.36 . 516.36 (DDC 23) .

Catalogue Display

Conformal Symmetry Breaking Operators for Differential Forms on Spheres

Reviews