The Quantum Automorphism Group and Undirected Trees

A classification of all undirected trees with automorphism group isomorphic to (Z₂)^l is given in terms of a vertex partition called a refined star partition. Recently the notion of a quantum automorphism group has been defined by T. Banica and J. Bichon. The quantum automorphism group is similar to the classical automorphism group, but has relaxed commutivity. The classification of all undirected trees with automorphism group isomorphic to (Z₂)^l along with a similar classification of all undirected asymmetric trees is used to give some insight into the structure of the quantum automorphism group for such graphs.

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

2006

Author dc:creator

• Fulton, Melanie B.

Chair dc:contributor.committeechair

• Letzter, Gail

Committee members dc:contributor.committeemember

• Linnell, Peter A.
• Haskell, Peter E.
• Farkas, Daniel R.

• Automorphism Group
• Hopf Algebras
• Quantum Automorphism

Statement dc:rights

• In Copyright

Licence dc:rights.uri

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

Dc Identifier Other

etd-07262006-091536

OAI identifier oai:identifier

oai:vtechworks.lib.vt.edu:10919/28405