On Relative Invariants

Authors

Mark E. Fels, Utah State UniversityFollow
P. J. Olver

Document Type

Article

Journal/Book Title/Conference

Mathematische Annalen

Volume

308

Issue

4

Publication Date

1997

First Page

701

Last Page

732

Abstract

A general theorem governing the precise number of relative invariants for general multiplier representations of Lie group actions is proved. A wide variety of applications, including the existence of invariant vector fields, invariant differential forms, invariant differential operators, differential invariants, and invariant connections and metrics, are discussed.

Recommended Citation

On relative invariants, M.E. Fels, P.J. Olver, Mathematische Annalen, 308(4), 1997, 701-732.