Higher Bruhat and Tamari Orders and their RealizationsDimakis A1 and Müller-Hoissen F2*
- Corresponding Author:
- Müller-Hoissen F
Max Planck Institute for Dynamics and Self-Organization
37077 Göttingen, Germany
Tel: 49 551 5176-0
E-mail: Folkert. [email protected]
Received date July 14, 2015; Accepted date July 16, 2015; Published date July 29, 2015
Citation: Dimakis A, Müller-Hoissen F (2015) Higher Bruhat and Tamari Orders and their Realizations. J Generalized Lie Theory Appl 9:e103. doi:10.4172/1736-4337.1000e103
Copyright: © 2015 Dimakis A, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
We briefly describe recent results about higher Bruhat and Tamari orders, the associated simplex equations and generalizations (polygon equations) of the pentagon equation, and the appearance of these orders in soliton interactions.