Sökning: "Lie bialgebra"
Hittade 4 avhandlingar innehållade orden Lie bialgebra.
1. 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
2. Infinite-dimensional Lie bialgebras and Manin pairs
Sammanfattning : This PhD thesis is devoted to the theory of infinite-dimensional Lie bialgebra structures as well as their close relatives such as r-matrices and Manin pairs. The thesis is based on three papers. Paper I. LÄS MER
3. Lie bialgebra structures and their quantization
Sammanfattning : .... LÄS MER
4. 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