Geodesic
Demazure product of permutations and hopping
Tina Li ; Suho Oh1 ; Edward Richmond ; Grace Yan ; Kimberly You
1Texas State University
The electronic journal of combinatorics, Tome 31 (2024) no. 1
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The Demazure product (also called the 0-Hecke product or greedy product) is an associative operation on Coxeter groups with interesting properties and important applications. In this paper, we study permutation groups and present a way to compute the Demazure product of two permutations using only their one-line notation and not relying on reduced words. The algorithm starts from their usual product and then applies a new operator, which we call the hopping operator. We also give an analogous result for the group of signed permutations.
DOI : 10.37236/11983
Classification : 20F55, 20B30, 05E16

Tina Li    ; Suho Oh  1   ; Edward Richmond    ; Grace Yan    ; Kimberly You 

1 Texas State University 
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Tina  Li; Suho Oh; Edward Richmond; Grace Yan; Kimberly You. Demazure product of permutations and hopping. The electronic journal of combinatorics, Tome 31 (2024) no. 1. doi: 10.37236/11983

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