Involutions in Weyl group of type F (4)

摘要

Let W be the Weyl group of type F (4): We explicitly describe a finite set of basic braid I (*)-transformations and show that any two reduced I (*)-expressions for a given involution in W can be transformed into each other through a series of basic braid I (*)-transformations. Our main result extends the earlier work on the Weyl groups of classical types (i.e., A (n) , B (n) , and D (n) ).