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Visar resultat 1 - 5 av 42 avhandlingar som matchar ovanstående sökkriterier.
1. On Stratified Algebras and Lie Superalgebras
Sammanfattning : 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 SSS-algebra is properly stratified. LÄS MER
2. Quasi-Lie Algebras and Quasi-Deformations. Algebraic Structures Associated with Twisted Derivations
Sammanfattning : This thesis introduces a new deformation scheme for Lie algebras, which we refer to as ?quasi-deformations? to clearly distinguish it from the classical Grothendieck-Schlessinger and Gers-tenhaber deformation schemes. The main difference is that quasi-deformations are not in gene-ral category-preserving, i.e. LÄS MER
3. Simple Modules over Lie Algebras
Sammanfattning : 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. LÄS MER
4. Irreducible Representations of Quantum Affine Algebras
Sammanfattning : We construct finite-dimensional representations of the quantum affine algebra associated to the simple finite-dimensional 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. LÄS MER
5. Low-dimensional cohomology of current Lie algebras
Sammanfattning : We deal with low-dimensional 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. LÄS MER
