%0 Journal Article %1 Martin1994a %A Martin, Paul %A Saleur, Hubert %D 1994 %J Lett. Math. Phys. %K algebra representation-theory temperley-lieb %N 3 %P 189--206 %R 10.1007/BF00805852 %T The blob algebra and the periodic Temperley-Lieb algebra %U http://www.springerlink.com/content/r6n8337025v53876/?p=6a34558dc095429c9f97a0a0c7d1ff4c&pi=3 %V 30 %X We determine the structure of two variations on the Temperley-Lieb algebra, both used for dealing with special kinds of boundary conditions in statistical mechanics models. The first is a new algebra, the "blob" algebra. We determine both the generic and all the exceptional structures for this two parameter algebra. The second is the periodic Temperley-Lieb algebra. The generic structure and part of the exceptional structure of this algebra have already been studied. We complete the analysis using results from the study of the blob algebra.

@article{Martin1994a, abstract = {We determine the structure of two variations on the Temperley-Lieb algebra, both used for dealing with special kinds of boundary conditions in statistical mechanics models. The first is a new algebra, the "blob" algebra. We determine both the generic and all the exceptional structures for this two parameter algebra. The second is the periodic Temperley-Lieb algebra. The generic structure and part of the exceptional structure of this algebra have already been studied. We complete the analysis using results from the study of the blob algebra.}, added-at = {2009-05-07T15:23:46.000+0200}, author = {Martin, Paul and Saleur, Hubert}, biburl = {https://www.bibsonomy.org/bibtex/2c1f957435f722c0e30751ae783b41e66/njj}, coden = {LMPHDY}, doi = {10.1007/BF00805852}, fjournal = {Letters in Mathematical Physics}, interhash = {697cc946c9590f4c2d65a493285ac581}, intrahash = {c1f957435f722c0e30751ae783b41e66}, issn = {0377-9017}, journal = {Lett. Math. Phys.}, keywords = {algebra representation-theory temperley-lieb}, mrclass = {81R50 (16S99 82B23)}, mrkey = {1267001}, mrreviewer = {Andrey V. Tsiganov}, number = 3, pages = {189--206}, timestamp = {2009-05-07T15:23:46.000+0200}, title = {The blob algebra and the periodic Temperley-Lieb algebra}, url = {http://www.springerlink.com/content/r6n8337025v53876/?p=6a34558dc095429c9f97a0a0c7d1ff4c&pi=3}, volume = 30, year = 1994 }