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Understanding the Lorentz Group by Adam Crystalpas is a document available to read on EtoBox.

What is Understanding the Lorentz Group about?

The Lorentz group O(3,1) consists of linear transformations that leave invariant the Minkowski inner product between four-vectors. It satisfies the condition LTηL = η, where η is the diagonal Minkowski metric. This implies that determinants of Lorentz transformations must be ±1. The proper Lorentz group SO(3,1) has determinant 1. Its Lie algebra can be written in terms of infinitesimal rotation generators J and boost generators K, which satisfy commutation relations that form the Lie algebra of the Lorentz

Author
Adam Crystalpas
Language
EN