On minimal lengths of expressions of Coxeter group elements as products of reflections

By M. Dyer. 2001

53 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Exceptional sequences and clusters (2009, background): “By [10], the Coxeter element cannot be written as a product of fewer than n reflections, which implies that k = 1.”
Fixed points of involutive automorphisms of the Bruhat order (2004, background): “Dyer [7] showed that the absolute length l(w) of an element w ∈ W is equal to the smallest number of generators that need to be deleted in any reduced expression for w in order to obtain the identity element e.”
A categorification of non-crossing partitions (2013, background): “For another description of this length we refer to [19].”