n-low elements and maximal rank k reflection subgroups of Coxeter groups

2021 ◽  
Author(s):  
M.J. Dyer
Keyword(s):  
Coxeter Groups ◽  
Maximal Rank

Maximal rank divisors on M_g,n

2020 ◽  
Vol 20 (1) ◽  
pp. 349-371
Author(s):  
İrfan Kadiköylü
Keyword(s):  
Maximal Rank

scholarly journals Automorphisms of odd Coxeter groups

2021 ◽  
Author(s):  
Tushar Kanta Naik ◽  
Mahender Singh
Keyword(s):  
Coxeter Groups

scholarly journals The 300 “correlators” suggests 4D, $$ \mathcal{N} $$ = 1 SUSY is a solution to a set of Sudoku puzzles

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Aleksander J. Cianciara ◽  
S. James Gates ◽  
Yangrui Hu ◽  
Renée Kirk
Keyword(s):  
Coxeter Groups ◽  
Auxiliary Field ◽  
Permutation Groups ◽  
Weight Space ◽  
Field Problem ◽  
Truncated Octahedron ◽  
Color Problem ◽  
Minimal Representations

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.

Kazhdan-Lusztig cells in some weighted Coxeter groups

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

On fixed subgroups of maximal rank

1997 ◽  
Vol 25 (10) ◽  
pp. 3361-3375 ◽  
Author(s):  
Enric Ventura
Keyword(s):  
Maximal Rank ◽  
Fixed Subgroups
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