Search for dissertations about: "Vincent Umutabazi"

Found 2 swedish dissertations containing the words Vincent Umutabazi.

2. 1. Boolean complexes of involutions and smooth intervals in Coxeter groups

   Author : Vincent Umutabazi; Axel Hultman; Jan Snellman; Christian Stump; Linköpings universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES;

   Abstract : This dissertation is composed of four papers in algebraic combinatorics related to Coxeter groups. By a Coxeter group, we mean a group W generated by a subset S ⊂ W such that for all s ∈ S , we have s2 = e, and (s, s′)m(s,s′) = (s′ s)m(s,s′) = e, where m(s, s′) = m(s′ s) ≥ 2 for all s ≠ s′ ≥ ∈ S . READ MORE

4. 2. Smooth Schubert varieties and boolean complexes of involutions

   Author : Vincent Umutabazi; Axel Hultman; Jan Snellman; Volodymyr Mazorchuk; Linköpings universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES;

   Abstract : This thesis is composed of two papers both in algebraic combinatorics and Coxeter groups.In Paper I, we concentrate on smoothness of Schubert varieties indexed by involutions from finite simply laced types. READ MORE