Search for dissertations about: "lie algebra cohomology"
Showing result 1 - 5 of 7 swedish dissertations containing the words lie algebra cohomology.
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1. Low-dimensional cohomology of current Lie algebras
Abstract : 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. READ MORE
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2. Configuration spaces, props and wheel-free deformation quantization
Abstract : 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. READ MORE
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3. Noncommutative Riemannian Geometry of Twisted Derivations
Abstract : A twisted derivation is a generalized derivative satisfying a twisted version of the ordinary Leibniz rule for products. In particular, a (σ, τ )-derivation on an algebra A, is a derivation where Leibniz rule is twisted by two endomorphisms σ and τ on A. READ MORE
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4. Strings, Branes and Symmetries
Abstract : Recent dramatic progress in the understanding of the non-perturbative structure of superstring theory shows that extended objects of various kinds, collectively referred to as p-branes, are an integral part of the theory. In this thesis, comprising an introductory text divided in two parts and seven appended research papers (Papers I-VII), we study various aspects of p-branes with relevance for superstring theory. READ MORE
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5. Graded lie algebras in local algebra and rational homotopy
Abstract : This thesis consists of three papers, [A – C]The old conjecture that Poincaré-series of local noetherian rings are rational was disproved by Anick in 1979. Building upon his counter-example, as analyzed by Löfwall-Roos, I construct a Gorenstein ring with transcendental Poincaré-series; by a method of Roos this also gives a manifold whose loopspace has transcendental Poinaré-Betti series. READ MORE
