Vector algebras

Adam Marsh

Chapter 3 in Evaluating Country Risks for International Investments:Tools, Techniques and Applications, 2018, pp 27-49 from World Scientific Publishing Co. Pte. Ltd.

Abstract: The following sections are included:Constructing algebras from a vector spaceThe tensor algebraThe exterior algebraCombinatorial notationsThe Hodge starGraded algebrasClifford algebrasGeometric algebraTensor algebras on the dual spaceThe structure of the dual spaceTensorsTensors as multilinear mappingsAbstract index notationTensors as multi-dimensional arraysExterior formsExterior forms as multilinear mappingsExterior forms as completely anti-symmetric tensorsExterior forms as anti-symmetric arraysThe Clifford algebra of the dual spaceAlgebra-valued exterior formsRelated constructions and facts

Keywords: Portfolio Investment; Political Risk; Financial Risk; Equity Return; Market Efficiency; Stochastic Dominance; Risk Management; Derivatives; Foreign Currency Debt (search for similar items in EconPapers)
JEL-codes: F30 (search for similar items in EconPapers)
Date: 2018
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