Lie derivations on rings of differential operators

Derivations on rings of differential operators are studied. In particular, we ask whether Lie derivations are forced to be associative derivations. This is established for the Weyl algebras, which provides the details of a theorem of A. Joseph. The ideas are extended to localizations of Weyl algebras. As a corollary, the implication is verified for the universal enveloping algebras of nilpotent Lie algebras.

Name thesis:degree_name

Ph. D.

Level thesis:degree_level

doctoral

Discipline thesis:degree_discipline

Mathematics

Department dc:contributor.department

Mathematics

Grantor dc:publisher

Virginia Tech

Year dc:date.issued

1995

Author dc:creator

• Chung, Myungsuk

Chair dc:contributor.committeechair

• Farkas, Daniel R.

Committee members dc:contributor.committeemember

• Snider, Robert L.
• Haskell, Peter E.
• Holub, James R.
• McCoy, Robert A.

• Weyl algebras

Statement dc:rights

• In Copyright

Licence dc:rights.uri

• http://rightsstatements.org/vocab/InC/1.0/

Language dc:language.iso

en

Dc Identifier Other

etd-03022006-093413

OAI identifier oai:identifier

oai:vtechworks.lib.vt.edu:10919/37457