Algebraic number theory

Minkowski space (number field)

In mathematics, specifically the field of algebraic number theory, a Minkowski space is a Euclidean space associated with an algebraic number field. If K is a number field of degree d then there are d distinct embeddings of K into C. We let KC be the image of K in the product Cd, considered as equipped with the usual Hermitian inner product. If c denotes complex conjugation, let KR denote the subspace of KC fixed by c, equipped with a scalar product. This is the Minkowski space of K. (Wikipedia).

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From playlist [ANT] An unorthodox introduction to algebraic number theory

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From playlist Minkowski Diagrams

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From playlist Physics

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From playlist Minkowski Diagrams

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From playlist What is General Relativity?

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From playlist Mathematics

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From playlist Kavli Asian Winter School (KAWS) on Strings, Particles and Cosmology (ONLINE) - 2022

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From playlist Cosmology - The Next Decade

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From playlist Relativity

Related pages

Algebraic number field | Mathematics | Geometry of numbers | Euclidean space | Algebraic number theory