Sökning: "Algebraic symmetries"
Visar resultat 1 - 5 av 7 avhandlingar innehållade orden Algebraic symmetries.
1. Aspects of Wrapped Branes in String and M-Theory
Sammanfattning : This thesis consists of an introductory text together with five appended research papers. The Ariadne's thread through the whole thesis is various effects coming from high-dimensional p-branes in various subsectors of string and M-theory. LÄS MER
2. The Lanczos potential, dimensionally dependent identities and algebraic Rainich theory
Sammanfattning : In this thesis three major topics are dealt with: the Lanczos potential, dimensionally dependent identities and algebraic Rainich theory.The Lanczos potential is a potential for the \Vey! curvature tensor or for a tensor v-·ith the same algebraic symmetries. LÄS MER
3. Group classification of linear Schrödinger equations by the algebraic method
Sammanfattning : This thesis is devoted to the group classification of linear Schrödinger equations. The study of Lie symmetries of such equations was initiated more than 40 years ago using the classical Lie infinitesimal method for specific types of real-valued potentials. LÄS MER
4. Kähler-Poisson Algebras
Sammanfattning : In this thesis, we introduce Kähler-Poisson algebras and study their basic properties. The motivation comes from differential geometry, where one can show that the Riemannian geometry of an almost Kähler manifold can be formulated in terms of the Poisson algebra of smooth functions on the manifold. LÄS MER
5. Dimensionally dependent identities and the Lanczos potential
Sammanfattning : To antisymmetrize over more indices than the number of dimensions gives a dimensionally dependent identity. In this thesis such identities for tensors, spinors and matrices are discussed and some new results are presented which generalise earlier results of Lovelock. LÄS MER