Symmetric test spaces
Alexander Wilce · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1997
These notes begin a study of test-spaces equipped with a group action. Several notions of irreducibility and decomposability for such G-test spaces are discussed and compared. We introduce classes of test-spaces having strong symmetry properties and investigate their properties. We also discuss induced and co-induced test-spaces in this context, and prove an imprimitivity theorem characterizing the latter.