Sökning: "Quasi-Lie Algebras"

Hittade 2 avhandlingar innehållade orden Quasi-Lie Algebras.

1. 1. Quasi-Lie Algebras and Quasi-Deformations. Algebraic Structures Associated with Twisted Derivations

   Författare :Daniel Larsson; Matematik LTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Talteori; fältteori; algebraisk geometri; algebra; gruppteori; Lie Algebras; Quasi-Deformations; Number Theory; field theory; algebraic geometry; group theory; Quasi-Lie Algebras;

   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. 2. Wheeled Operads in Algebra, Geometry, and Quantization

   Författare :Johan Granåker; Sergei A. Merkulov; Andrey Lazarev; Stockholms universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; operads; deformation theory; homotopy algebra; deformation quantization; MATHEMATICS; MATEMATIK; Mathematics; matematik;

   Sammanfattning : The theory of generalized operads, the foundational conceptual framework of this thesis, has become a universal language, relating various areas such as algebraic topology, derived categories of algebras, deformation theory, differential geometry and the mathematical theory of quantization.The thesis consists of a preliminary chapter followed by four main chapters. LÄS MER