Sökning: "Algebra and geometry"
Visar resultat 6 - 10 av 88 avhandlingar innehållade orden Algebra and geometry.
6. Classification of classical twists of the standard Lie bialgebra structure on a loop algebra
Sammanfattning : This licentiate thesis is based on the work "Classification of classical twists of the standard Lie bialgebra structure on a loop algebra" by R. Abedin and the author of this thesis. The standard Lie bialgebra structure on an affine Kac-Moody algebra induces a Lie bialgebra structure on the underlying loop algebra and its parabolic subalgebras. LÄS MER
7. Admissible transformations and the group classification of Schrödinger equations
Sammanfattning : We study admissible transformations and solve group classification problems for various classes of linear and nonlinear Schrödinger equations with an arbitrary number n of space variables.The aim of the thesis is twofold. LÄS MER
8. Tangential Derivations, Hilbert Series and Modules over Lie Algebroids
Sammanfattning : Let A/k be a local commutative algebra over a field k of characteristic 0, and T_{A/k} be the module of k-linear derivations on A. We study, in two papers, the set of k-linear derivations on A which are tangential to an ideal I of A (preserves I), defining an A-submodule T_{A/k}(I) of T_{A/k}, which moreover is a k-Lie subalgebra. LÄS MER
9. The space of Cohen–Macaulay curves and related topics
Sammanfattning : The space of Cohen–Macaulay curves is a compactification of the space of curves that are embedded in a given projective space Pn. The idea is similar to that of the Hilbert scheme but instead of adding degenerated curves, one considers only curves without embedded or isolated points. LÄS MER
10. Configuration spaces, props and wheel-free deformation quantization
Sammanfattning : The main theme of this thesis is higher algebraic structures that come from operads and props.The first chapter is an introduction to the mathematical framework needed for the content of this thesis. The chapter does not contain any new results. LÄS MER
