Infinite reduced words, lattice property and braid graph of affine Weyl groups
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Algebra"
DOI: 10.1016/j.jalgebra.2019.06.032
Abstract: In this paper, we establish a bijection between the infinite reduced words of an affine Weyl group and certain biclosed sets of its positive system and determine all finitely generated biclosed sets in the positive… read more here.
Keywords: weyl; affine weyl; infinite reduced; reduced words ... See more keywords
Combinatorial flip actions and Gelfand pairs for affine Weyl groups
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Algebra"
DOI: 10.1016/j.jalgebra.2021.10.034
Abstract: Several combinatorial actions of the affine Weyl group of type $\widetilde{C}_{n}$ on triangulations, trees, words and permutations are compared. Addressing a question of David Vogan, we show that, modulo a natural involution, these permutation representations… read more here.
Keywords: actions gelfand; affine weyl; combinatorial flip; gelfand pairs ... See more keywords