Search for dissertations about: "Lie algebras"
Showing result 1  5 of 37 swedish dissertations containing the words Lie algebras.

1. On Stratified Algebras and Lie Superalgebras
University dissertation from Uppsala : Matematiska institutionenAbstract : This thesis, consisting of three papers and a summary, studies properties of stratified algebras and representations of Lie superalgebras.In Paper I we give a characterization when the Ringel dual of an SSSalgebra is properly stratified. READ MORE

2. QuasiLie Algebras and QuasiDeformations. Algebraic Structures Associated with Twisted Derivations
University dissertation from Department of Mathematics, Lund UniversityAbstract : This thesis introduces a new deformation scheme for Lie algebras, which we refer to as ?quasideformations? to clearly distinguish it from the classical GrothendieckSchlessinger and Gerstenhaber deformation schemes. The main difference is that quasideformations are not in general categorypreserving, i.e. READ MORE

3. Simple Modules over Lie Algebras
University dissertation from Uppsala : Department of MathematicsAbstract : Simple modules are the elemental components in representation theory for Lie algebras, and numerous mathematicians have worked on their construction and classification over the last century. This thesis consists of an introduction together with four research articles on the subject of simple Lie algebra modules. READ MORE

4. Irreducible Representations of Quantum Affine Algebras
University dissertation from Uppsala : Department of MathematicsAbstract : We construct finitedimensional representations of the quantum affine algebra associated to the simple finitedimensional Lie algebra sl(n+1). The module structure is defined on the vector space tensor product of the fundamental representations of the quantum affine algebra. READ MORE

5. Lowdimensional cohomology of current Lie algebras
University dissertation from Stockholm : Department of Mathematics, Stockholm UniversityAbstract : We deal with lowdimensional homology and cohomology of current Lie algebras, i.e., Lie algebras which are tensor products of a Lie algebra L and an associative commutative algebra A. READ MORE