Über Bahnen und deren Deformationen bei linearen Aktionen reduktiver Gruppen

摘要: Let a reductive groupG act linearly on vectorspaceV, and letO∋V be an orbit. For each irreducible representation ω ofG, the multiplicity with which occurs in ring of regular functions onO (or its closureŌ) provides interesting numerical invariant ofO. We introduce algebraic notion “deformation” orbit into another one. The main goal this paper is to give sufficient conditions orbit, order that arbitrary deformation has preserve all multiplicites mentioned above.