Linear representations of the Lorentz group /

The present book is devoted to a systematic exposition of the theory of linear representations of the proper Lorentz group and the complete Lorentz group. Having in mind physicist readers, the author has endeavored to make the exposition as elementary as possible, so that the reader is not expected...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Na�imark, M. A. (Mark Aronovich)
Otros Autores: Swinfen, Ann (Traductor), Marstrand, Otto, 1919- (Traductor), Farahat, H. K. (editor of translation.)
Formato: Electrónico eBook
Idioma:Inglés
Ruso
Publicado: Oxford, , Pergamon Press, [1964]
Colección:International series in pure and applied mathematics ; v. 63.
Temas:
Lorentz groups.
Group theory.
Representations of groups.
Repr�esentations de groupes.
MATHEMATICS > Algebra > Intermediate.
Lorentz, Groupes de.
Instructional and educational works.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • The three-dimensional rotation group and the Lorentz group ; The three-dimensional rotational group
  • The Lorentz group
  • The representations of the three-dimensional rotation group ; The basic concepts of the theory of finite-dimensional representations
  • Irreducible representations of the three-dimensional rotation group in infinitesimal form
  • The realization of finite-dimensional irreducible representation of the three-dimensional rotation group
  • The decomposition of a given representation of the three-dimensional rotation group into irreducible representations
  • Irreducible linear representations of the proper and complete Lorentz groups ; The infinitesimal operators of a linear representation of the proper Lorentz group
  • Determination of the infinitesimal operators of a representation of the group [Fraktur capital]G₊
  • The finite-dimensional representations of the proper Lorentz group
  • Principal series of representations of the group [Fraktur capital]A
  • Description of the representations of the principal series and of spinor representations by means of the unitary group
  • Complementary series of representations of the group [Fraktur capital]A
  • The trace of a representation of the principal or complementary series
  • An analogue of Plancherel's formula
  • A description of all the completely irreducible representations of the proper Lorentz group
  • Description of all the completely irreducible representations of the complete Lorentz group
  • Invariant equations ; Equations invariant with respect to rotations of three-dimensional space
  • Equations invariant with respect to proper Lorentz transformations
  • Equations invariant with respect to transformations of the complete Lorentz group
  • Appendix.

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