The Penrose Transform: Its Interaction with Representation TheoryClarendon Press, 1989 - Broj stranica: 213 During the past two decades, Roger Penrose's twistor theory has been a continuing source of mathematical inspiration. It is an ambitious theory which aims to reformulate the foundations of physics using conformal and complex geometry. At the heart of twistor theory lies a geometrical transformnow known as the Penrose transform. This book is an exposition of this transform in a fairly general setting. This setting is provided by complex homogeneous spaces and the mathematical input is taken from the representation theory of Lie groups. The book consists mainly of original research notpublished elsewhere and is intended for physicists and mathematicians with interests in geometry and symmetry. Whilst the material is presented in full generality, there are many examples throughout and special attention is directed towards the twistor theory of Minkowski space. |
Sadržaj
Introduction | 1 |
Lie Algebras and Flag Manifolds | 10 |
279 | 26 |
Autorska prava | |
Broj ostalih dijelova koji nisu prikazani: 9
Ostala izdanja - Prikaži sve
The Penrose Transform: Its Interaction with Representation Theory Robert J. Baston,Michael G. Eastwood Ograničeni pregled - 2016 |
The Penrose Transform: Its Interaction with Representation Theory Robert J. Baston,Michael G. Eastwood Ograničeni pregled - 2016 |
Uobičajeni izrazi i fraze
affine BGG resolution chapter cohomology group compute conformal construction defined denote dimensions direct images discrete series dominant double fibration dual Dynkin diagram element equations exact sequence example finite dimensional flag manifolds flag varieties follows g-module H¹(P¹ H¹(PT highest weight homogeneous bundles homogeneous sheaves homogeneous vector bundles homomorphism homomorphisms of Verma hypercohomology spectral sequence identified induced integral invariant differential operators isomorphism K-finite K-finite vectors K-types lemma Lie algebra Lie group line bundle massless fields metric Minkowski space nodes non-trivial non-zero notation obtain orbit parabolic Penrose transform projective Remark rest mass fields Rham resolution Rham sequence scalar product semisimple Lie sheaf spinor structure subalgebra subgroup subset subvariety surjective tangent bundle theorem twistor space twistor theory twistor transform vanishes vector bundles vector fields Verma modules Ward correspondence Weyl group zero rest mass