On an Algebraic Approach to Cubic Lattice Potts Models
Dasmahapatra, Srinandan and Martin, Paul (1996) On an Algebraic Approach to Cubic Lattice Potts Models. Journal of Physics A, 29, 263.
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Description/Abstract
We consider Diagram algebras, $\Dg(G)$ (generalized Temperley-Lieb algebras) defined for a large class of graphs $G$, including those of relevance for cubic lattice Potts models, and study their structure for generic $Q$. We find that these algebras are too large to play the precisely analogous role in three dimensions to that played by the Temperley-Lieb algebras for generic $Q$ in the planar case. We outline measures to extract the quotient algebra that would illuminate the physics of three dimensional Potts models.
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Physical and Applied Science > Electronics and Computer Science > Comms, Signal Processing & Control |
| Item ID: | 264095 |
| Date Deposited: | 29 May 2007 |
| Last Modified: | 09 Aug 2012 23:55 |
| Contributors: | Dasmahapatra, Srinandan (Author) Martin, Paul (Author) |
| Date: | 1996 |
| Status: | Published |
| Further Information: | Google Scholar |
| ISI Citation Count: | 4 |
| URI: | http://eprints.soton.ac.uk/id/eprint/264095 |
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