Search for dissertations about: "groups in algebra"
Showing result 1 - 5 of 36 swedish dissertations containing the words groups in algebra.
-
1. Boolean complexes of involutions and smooth intervals in Coxeter groups
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
-
2. Algorithmic Methods in Combinatorial Algebra
Abstract : This thesis consists of a collection of articles all using and/or developing algorithmic methods for the investigation of different algebraic structures. Part A concerns orthogonal decompositions of simple Lie algebras. The main result of this part is that the symplectic Lie algebra C3 has no orthogonal decomposition of so called monomial type. READ MORE
-
3. Topics on Function Spaces and Multilinear Algebra
Abstract : The present thesis consists of three different papers. Indeed, they treat two different research areas: function spaces and multilinear algebra. In paper I, a characterization of continuity of the $p$-$\Lambda$-variation function is given and Helly's selection principle for $\Lambda BV^{(p)}$ functions is established. READ MORE
-
4. Algebra in upper secondary mathematics : a study of a selection of textbooks used in the years 1960-2000 in Sweden
Abstract : The research interest in this licentiate thesis is the development of school algebra in the Swedish upper-secondary school. To be more precise, the notion of school algebra, in the period 1960-2000, is described and analyzed through the study of mathematics textbooks and their revisions as a consequence of curricular reforms. READ MORE
-
5. The Noncommutative Geometry of Real Calculi
Abstract : Noncommutative geometry extends the traditional connections between algebra and geometry beyond the realm of commutative algebras, allowing for a broader exploration of geometric concepts in noncommutative settings. The geometric perspective facilitates the study and understanding of various mathematical structures, including operator algebras, quantum groups, and noncommutative spaces. READ MORE
