Kniha Invariant Differential Pairings Jens Kroeske

Invariant Differential Pairings

A Study of Bilinear Symmetries for Parabolic Geometries

Autor: Jens Kroeske
Jazyk: Angličtina
Väzba: Brožovaná
Dostupnosť: U vydavateľa na objednávku
Odosielame za 17-27 dní
66.76
Invariant differential operators appear often in mathematics and theoretical physics. The word invar...

Informácie o knihe

Autor
Jazyk
Angličtina
Väzba
Kniha - Brožovaná
Vydalo
2009
Stránok
172
EAN
9783639190823
Enbook ID
06827191
Hmotnosť
272
Rozmery
150 x 220 x 10

Kompletný popis

Invariant differential operators appear often in mathematics and theoretical physics. The word invariant indicates that the operator in question contains some symmetry. The discovery and exploitation of these symmetries form an important part of research in these areas. Physical theories often require that the equations by which they are defined exhibit natural symmetries. This work is concerned with the extension of the study of invariant linear differential operators to bilinear differential pairings. This analysis is carried out for a wide class of geometric settings called parabolic geometries, examples of which are given by conformal geometry, CR geometry and projective geometry. We introduce the concept with a combination of differential geometric methods and representation theory. Various techniques such as jet bundles and tractor calculus are carefully explained. Supported by many concrete examples our exhibition is aimed at both mathematicians and physicists with an interest in the geometric analysis of partial differential equations.

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