A horizontal mesh algorithm for posets with positive Tits form

• Date: 2016
• Main Authors: Kaniecki, Mariusz, Kosakowska, Justyna, Malicki, Piotr, Marczak, Grzegorz
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2016
• Subjects: poset; combinatorial algorithm; Dynkin diagram; mesh geometry of roots; quadratic form; 68R10; 05C50; 06A07; 15A63
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/130
• Journal Title: Algebra and Discrete Mathematics

Following our paper [Fund. Inform. 136 (2015), 345--379],  we define a~horizontal mesh algorithm that constructsa~$\widehat{\Phi}_I$-mesh translation quiver  $\Gamma(\widehat{\CR}_I,\widehat{\Phi}_I)$ consisting of$\widehat{\Phi}_I$-orbits of the finite set $\widehat{\CR}_I=\{v\in\mathbb{Z}^I\; ;\;\...