Name
Title | ||
|---|---|---|
A new set of generators and a physical interpretation for the SU(3) finite subgroup D(9,1,1;2,1,1) |
Abstract | ||
|---|---|---|
After 100 years of effort, the classification of all the finite subgroups of SU(3) is yet incomplete. The most recently updated list can be found in Ludl (J Phys A Math Theory 44: 255204, 2011), where the structure of the series (C) and (D) of SU(3)-subgroups is studied. We provide a minimal set of generators for one of these groups which has order 162. These generators appear up to phase as the image of an irreducible unitary braid group representation issued from the Jones-Kauffman version of SU(2) Chern-Simons theory at level 4. In light of these new generators, we study the structure of the group in detail and recover the fact that it is isomorphic to the semidirect product Z(9) x Z(3) x S-3 with respect to conjugation. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1007/s11128-013-0544-6 | QUANTUM INFORMATION PROCESSING |
Keywords | Field | DocType |
SU(3) finite subgroups,Unitary braid groups representations,Anyonic systems | Semidirect product,Quantum mechanics,Pure mathematics,Isomorphism,Unitary state,Braid group,Physics | Journal |
Volume | Issue | ISSN |
12 | 7 | 1570-0755 |
Citations | PageRank | References |
1 | 0.63 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Bela Bauer | 1 | 46 | 5.00 |
| claire i levaillant | 2 | 1 | 0.96 |