We establish an embedding from the Hecke algebra associated with the edge contraction of a Coxeter system along an edge to the Hecke algebra associated with the original Coxeter system.
A categorification of Hecke algebras with parameters 1 and v
Branching rules for Hecke Algebras of Type $D_{n}$
Weak Bruhat interval modules of finite-type $0$-Hecke algebras and projective covers
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