Boolean Complexes of Involutions

• Let (W,S) be a Coxeter system. We introduce the boolean com-plex of involutions ofWwhich is an analogue of the boolean complex ofWstudied by Ragnarsson and Tenner. By applying discrete Morse theory,we determine the homotopy type of the boolean complex of involutionsfor a large class of (W,S), including all finite Coxeter groups, finding thatthe homotopy type is that of a wedge of spheres of dimension |S|-1. In addition, we find simple recurrence formulas for the number of spheres inthe wedge

Subject headings

NATURVETENSKAP  -- Matematik -- Beräkningsmatematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Computational Mathematics (hsv//eng)

Publication and Content Type

ref (subject category)

art (subject category)