DMCA. Copyrighted Work that you can Claim.
Base have 55 000 books.
Search: 


📙 Conformal Symmetry Breaking Operators for Differential Forms on Spheres by Toshiyuki Kobayashi, Toshihisa Kubo, Michael Pevzner (auth.) — free epub


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.



About book:

About file:

  • File size: 2 609 861
  • Format: pdf


Security code:
Download button

Similar books results


Rational Homotopy Theory and Differential Forms
Rational Homotopy Theory and Differential Forms download pdf by Phillip Griffiths, John Morgan (auth.)

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 ...

Natural Operations in Differential Geometry
Natural Operations in Differential Geometry free download by Ivan Kolar, Peter W. Michor, Jan Slovak

The literature on natural bundles and natural operators in differential geometry, was until now, scattered in the mathematical journal literature. This book is the first monograph on the subject, collecting this material in a unified presentation. The boo...

Exterior Analysis. Using Applications of Differential Forms
Exterior Analysis. Using Applications of Differential Forms pdf free by Erdogan Suhubi (Auth.)

Exterior analysis uses differential forms (a mathematical technique) to analyze curves, surfaces, and structures. Exterior Analysis is a first-of-its-kind resource that uses applications of differential forms, offering a mathematical approach to solve pro...

Differential forms with applications to the physical sciences
Differential forms with applications to the physical sciences download pdf by Flanders H.

A graduate-level text introducing the use of exterior differential forms as a powerful tool in the analysis of a variety of mathematical problems in the physical and engineering sciences. Directed primarily to graduate-level engineers and physical scienti...

Design and Test Technology for Dependable Systems-on-Chip
Design and Test Technology for Dependable Systems-on-Chip free pdf by Raimund Ubar, Raimund Ubar, Jaan Raik, Heinrich Theodor Vierhaus

Designing reliable and dependable embedded systems has become increasingly important as the failure of these systems in an automotive, aerospace or nuclear application can have serious consequences.Design and Test Technology for Dependable Systems-on-Chip...

Convergence and uniqueness problems for Dirichlet forms on fractals

Convex Functions, Monotone Operators and Differentiability
Convex Functions, Monotone Operators and Differentiability free download by Robert R. Phelps

These notes start with an introduction to the differentiability of convex functions on Banach spaces, leading to the study of Asplund spaces and their intriguing relationship to monotone operators (and more general set-values maps) and Banach spaces with ...

Lectures on cyclic homology
Lectures on cyclic homology free pdf by Husemoller D.

The book is a basic introduction to the subject, divided into three parts. The first, Chapters 1 and 2, is background material on exact couples and Hochschild homology for the beginning reader. In Chapters 3, 4, 5 three definitions of cyclic h...

Boundary value problems and singular pseudo-differential operators
Boundary value problems and singular pseudo-differential operators free pdf by Bert-Wolfgang Schulze

This book covers the analysis of pseudo-differential operators on manifolds with conical points and edges. The standard singular integral operators on the half-axis as well as boundary value problems on smooth manifolds are treated as particular cone and ...

Engaging Russia : a report to the Trilateral Commission
Engaging Russia : a report to the Trilateral Commission download pdf by Robert D Blackwill; Rodric Braithwaite; Akihiko Tanaka; Trilateral Commission

Russia's wrong direction : what the United States can and should do : report of an independent task force
Russia's wrong direction : what the United States can and should do : report of an independent task force free pdf by John Edwards; Jack Kemp; Stephen Sestanovich; Council on Foreign Relations. Independent Task Force on U.S. Policy toward Russia

Reproductive Rights
Reproductive Rights free pdf by John E. Ferguson

From abortion protests to fights about appropriate sex education in schools to debates over the 'morning-after' pill, questions surrounding reproductive rights are ever present in today's world. With views that vary widely on all topics, observers are oft...

Sex Trafficking: A Global Perspective
Sex Trafficking: A Global Perspective free download by Kimberly A. McCabe, Sabita Manian, Karin Bruckmüller, Brad Bullock, Michael A. Bush, Mirna Carranza, Yingyu Chen, Brian E. Crim, James B. Grassano, Sunita Manian, William J. Mathias, Margaret Melrose, Nhatthien Q. Nguyen, Henry Parada, David H. Richards, T.A Ryan, Stefan Schumann, Arvind Verma

Global estimates of human trafficking range from 600,000 to four million victims each year with the majority being victims of sex trafficking. This strikingly large range belies the difficulty in gathering, defining, and accountability of sex-trafficking ...

Slavery of prostitution : a plea for emancipation
Slavery of prostitution : a plea for emancipation download pdf by Maude Miner Hadden; Harvard University. Library

Fight back! : a reader on the winter of protest

What is to be done? Burning questions of our movement

Requiem for Marx
Requiem for Marx pdf free by Yuri N. Maltsev

Requiem for Marx by Yuri N. Maltsev (Paperback - Jun 1993)...

None dare call it treason
None dare call it treason pdf free by סטורמר, ג'ון א. ; John A Stormer

Formal Techniques for Safety-Critical Systems: 4th International Workshop, FTSCS 2015, Paris, France, November 6-7, 2015. Revised Selected Papers
Formal Techniques for Safety-Critical Systems: 4th International Workshop, FTSCS 2015, Paris, France, November 6-7, 2015. Revised Selected Papers epub download by Cyrille Artho, Peter Csaba Ölveczky (eds.)

This book constitutes the refereed proceedings of the 4th International Workshop on Formal Techniques for Safety-Critical Systems, FTSCS 2015, held in Paris, France, in November 2015.The 15 revised full papers presented together with one invited talk and ...