%0 Journal Article %1 tomDieck1998a %A tom Dieck, Tammo %D 1998 %J Arch. Math. (Basel) %K algebra hecke representation-theory temperley-lieb %N 5 %P 407--416 %R 10.1007/s000130050284 %T Temperley-Lieb algebras associated to the root system D %U http://dx.doi.org/10.1007/s000130050284 %V 71 %X In this note we define and compute the Temperley-Lieb algebras associated to the Coxeter-Dynkin graphs of type D_n. The computation relates these algebras to those corresponding to the root systems of type A and B. We also show the connection to braid theory and to the Kauffman bracket and describe a related graphical calculus.

@article{tomDieck1998a, abstract = {In this note we define and compute the Temperley-Lieb algebras associated to the Coxeter-Dynkin graphs of type D_n. The computation relates these algebras to those corresponding to the root systems of type A and B. We also show the connection to braid theory and to the Kauffman bracket and describe a related graphical calculus.}, added-at = {2009-05-07T14:56:08.000+0200}, author = {tom Dieck, Tammo}, biburl = {https://www.bibsonomy.org/bibtex/208d369c3c688abfa0a28c37b09d7c0d2/njj}, coden = {ACVMAL}, doi = {10.1007/s000130050284}, fjournal = {Archiv der Mathematik}, interhash = {4b5dd484a17aa5dd931b6d8ffb116447}, intrahash = {08d369c3c688abfa0a28c37b09d7c0d2}, issn = {0003-889X}, journal = {Arch. Math. (Basel)}, keywords = {algebra hecke representation-theory temperley-lieb}, mrclass = {57M25 (20F36)}, mrkey = {1649348}, number = 5, pages = {407--416}, timestamp = {2009-05-07T14:56:08.000+0200}, title = {Temperley-Lieb algebras associated to the root system D}, url = {http://dx.doi.org/10.1007/s000130050284 }, volume = 71, year = 1998 }