Representation theory, topological field theory, and the Andrews-Curtis conjecture
| dc.creator | Quinn, Frank | |
| dc.date | 1992-02-13 | |
| dc.date | 1992-02-14 | |
| dc.date.accessioned | 2026-07-07T09:00:56Z | |
| dc.date.available | 2026-07-07T09:00:56Z | |
| dc.description | We pose a representation-theoretic question motivated by an attempt to resolve the Andrews-Curtis conjecture. Roughly, is there a triangular Hopf algebra with a collection of self-dual irreducible representations $V_i$ so that the product of any two decomposes as a sum of copies of the $V_i$, and $\sum (\rank V_i)^2=0$? This data can be used to construct a `topological quantum field theory' on 2-complexes which stands a good chance of detecting counterexamples to the conjecture. | |
| dc.description | 7 pages. ADMIN NOTE: source file was garbled, partially salvaged 19Feb2001 | |
| dc.identifier | https://arxiv.org/abs/hep-th/9202044 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9202044 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/148162 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Group Theory | |
| dc.subject | Quantum Algebra | |
| dc.title | Representation theory, topological field theory, and the Andrews-Curtis conjecture | |
| dc.type | text |