Sophus Lie
Marius Sophus Lie was a
Norwegian-born
mathematician. He largely created the theory of continuous symmetry, and applied it to the study of
geometry and
differential equations.
Lie's principal tool, and one of his greatest achievements, was the discovery that continuous transformation groups could be better understood by "linearizing" them, and studying the corresponding generating
vector fields . The generators are subject to a linearized version of the
group law, now called the commutator bracket, and have the structure of what is today called a
Lie algebra.
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Encyclopedia
Marius Sophus Lie was a
Norwegian-born
mathematician. He largely created the theory of continuous symmetry, and applied it to the study of
geometry and
differential equations.
Lie's principal tool, and one of his greatest achievements, was the discovery that continuous transformation groups could be better understood by "linearizing" them, and studying the corresponding generating
vector fields . The generators are subject to a linearized version of the
group law, now called the commutator bracket, and have the structure of what is today called a
Lie algebra.
See also
- Lie algebra
- Lie derivative
- Lie group
- Carathéodory-Jacobi-Lie theorem
External links
