A finiteness property an an automatic structure for Coxeter groups

1993 ◽  
Vol 296 (1) ◽  
pp. 179-190 ◽  
Author(s):  
Brigitte Brink ◽  
Robert B. Howlett
2021 ◽  
Vol 60 (5) ◽  
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Author(s):  
Rasmus L. Christiansen ◽  
Jørgen Johansen ◽  
Ruta Zukauskaite ◽  
Christian R. Hansen ◽  
Anders S. Bertelsen ◽  
...  

Author(s):  
Tushar Kanta Naik ◽  
Mahender Singh
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2020 ◽  
Vol 39 (4) ◽  
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Rundong Wu ◽  
Claire Harvey ◽  
Joy Xiaoji Zhang ◽  
Sean Kroszner ◽  
Brooks Hagan ◽  
...  

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Aleksander J. Cianciara ◽  
S. James Gates ◽  
Yangrui Hu ◽  
Renée Kirk

Abstract A conjecture is made that the weight space for 4D, $$ \mathcal{N} $$ N -extended supersymmetrical representations is embedded within the permutahedra associated with permutation groups 𝕊d. Adinkras and Coxeter Groups associated with minimal representations of 4D, $$ \mathcal{N} $$ N = 1 supersymmetry provide evidence supporting this conjecture. It is shown that the appearance of the mathematics of 4D, $$ \mathcal{N} $$ N = 1 minimal off-shell supersymmetry representations is equivalent to solving a four color problem on the truncated octahedron. This observation suggest an entirely new way to approach the off-shell SUSY auxiliary field problem based on IT algorithms probing the properties of 𝕊d.


2017 ◽  
Vol 61 (2) ◽  
pp. 325-352 ◽  
Author(s):  
Jianyi Shi ◽  
Gao Yang
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