6533b856fe1ef96bd12b3170
RESEARCH PRODUCT
Algebraic singularities have maximal reductive automorphism groups
Gerd MüllerHerwig Hausersubject
p-groupPure mathematics32B30010308 nuclear & particles physicsGeneral Mathematics010102 general mathematicsOuter automorphism groupCotangent spaceReductive groupAutomorphism01 natural sciences14B12Inner automorphismAlgebraic group0103 physical sciencesComputingMethodologies_DOCUMENTANDTEXTPROCESSINGMaximal ideal13J1520G200101 mathematics32M05Mathematicsdescription
LetX = On/ibe an analytic singularity where ṫ is an ideal of theC-algebraOnof germs of analytic functions on (Cn, 0). Letdenote the maximal ideal ofXandA= AutXits group of automorphisms. An abstract subgroupequipped with the structure of an algebraic group is calledalgebraic subgroupofAif the natural representations ofGon all “higher cotangent spaces”are rational. Letπbe the representation ofAon the first cotangent spaceandA1=π(A).
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1989-03-01 | Nagoya Mathematical Journal |