… embeddings of Coxeter groups within other Coxeter groups are injective using the notion of
Coxeter … the simplest type of Coxeter partitions, whose embeddings of Coxeter groups send …

This work presents a survey (with some proofs) of the recent developments in the study of
Coxeter transformations and their applications to representation theory of associative algebras…

… In order to show that this morphism is also injective, we want to prove the following claim:
for any non-empty reduced word w of \(C(\Gamma )\), thought of as an element of G, \(w \cdot …

… associated to a reflection faithful representation of a Coxeter system. We show that its objects
… a version of the Kazhdan-Lusztig conjecture and prove it for universal Coxeter systems. …

… deformations of group algebras of Coxeter groups. We first study embeddings of Hecke C∗-…
the simplicity and injective envelopes of operator algebras associated with Hecke algebras. …

… of embeddings of Coxeter groups in completions of Coxeter … abstract embeddings” of
permutation root systems of Coxeter … a Coxeter group W and its subgroup WG (also a Coxeter …

… A finitely generated group Γ is a right-angled Coxeter group if … admit a quasi-isometric
embedding into products of binary trees. … The basic idea of the embedding is a vector valued diary …

… the reduced Coxeter polynomial of the poset I. (b) The order cI := ord(ΦI) of the Coxeter
transformation ΦI : ZI → ZI is called the Coxeter number of the poset I. By the reduced Coxeter …

… Let Γ be a Coxeter graph with a set of vertices S. Then there exist a Coxeter graph Γ with a
set of vertices S and an embedding S ↩→ S such that Γ=ΓS and the canonical form 〈·, ·〉Γ of …

… Iα be an indecomposable injective module and Sα be a simple module corresponding to the
vertex α. For a more detailed description of indecomposable projective, injective and simple …