Advertisement

Realizations of the Irreducible Components of the Quasi-Regular Representation of Groups Transitive on Spheres. Invariant Subspaces

  • Valery V. VolchkovEmail author
  • Vitaly V. Volchkov
Part of the Springer Monographs in Mathematics book series (SMM)

Abstract

Quasi-regular representations of groups transitive on spheres are investigated. An explicit description of the decomposition of the spherical harmonics into irreducible submodules under the action of these groups is given. Applications of these results to invariant subspaces are considered. The treatment differs from the existing books and is accessible to a wider audience as the use of Lie theory is minimal.

Keywords

Spherical Harmonic Irreducible Component Invariant Subspace Linear Span Isotropy Subgroup 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag London Limited 2009

Authors and Affiliations

  1. 1.Mathematical DepartmentDonetsk National UniversityDonetskUkraine

Personalised recommendations