## Archive for Lie

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You are browsing the archives of Lie.

Friedrich Engel was born in 1861 in Saxony (now Germany) and was a mathematician primarily known for collaborating with Sophus Lie to publish, “Theory of Transformation Groups”. He did his doctoral studies under the guidance of Felix Klein. He studied the history of non-euclidean geometry and translated some of the papers of Lobachevsky from Russian […]

Topology is the study of how spaces are shaped and connected without worrying about distances. Some properties of spaces are preserved even when the space is being stretched and deformed. Often, the space that is being studied is called a manifold. A line and a circle are simple one dimensional topological manifolds. A plane and […]

In 1887, Willhelm Killing came up with a classification scheme for Lie algebras. The designation E-8 was eventually applied to an exceptional, simple Lie algegra and the associated Lie group of rank 8 and dimension 248. This is one of the most complex objects known to mankind. Mathematicians Map E8 – [aimath.org] Mathematicians have mapped […]

Born near Hamburg, Germany in 1885, Hermann Weyl was a mathematician whose work had a strong influence on both physics and number theory. He worked on combining general relativity and the laws of electromagnetism. He worked with Lie algebras, symmetry and created the first version of gauge theory which attempted to describe both electromagnetic and […]

Born in Erlangen, Bavaria, Germany in 1882, Emmy Noether was a mathematician who laid the groundwork for the idea of symmetry in mathematics and physics. She studied the works of Hilbert, Klein and Minkowski and was peer with Hermann Weyl. Noether’s theorem – in 1915, she proved a relationship between symmetries in physics and conservations […]

Felix Christian Klein was born in Dusseldorf, Germany and was a mathematician. He did work on group theory and non-Euclidian geometry. He wrote a book on the icosahedron and created a 4-dimensional construct that is known as the “klein bottle”. PRECURSOR: Plucker 1826 – Riemann CONCURRENT: 1842 – Lie 1844 – Boltzmann 1854 – Poincare […]