What groups are Lie groups?
Let’s learn what groups are Lie groups. The most accurate or helpful solution is served by Mathematics Educators.
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Lie groups are among the most important examples of groups in mathematics and physics, but they are rarely discussed in introductory undergraduate abstract algebra courses, which tend to focus on finite groups. Partially, this is because you can't even define a Lie group without knowing what a differentiable manifold is, which requires some amount of differential geometry or topology. In addition, most of the main results about Lie groups involve the notion of a Lie algebra, which would require...
Answer:
It is possible to usefully mention "Lie groups (and Lie algebras)" in an introductory course...
Jim Belk at Mathematics Educators Mark as irrelevant Undo
Other solutions
A group is a set together with an associative law of composition that contains the identity and inverses. I can understand the basic definitions of Lie groups and Lie algebras. Lie algebras are apparently used to study Lie groups. I'd like to know what...
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Lie algebras describe continuous symmetries in infinitesimal form--- so if you have a geometrical continuous...
Ron Maimon at Quora Mark as irrelevant Undo
Refer to Group of Lie type for definitions of these groups. It is likely that Galois did work on Classical groups which Jordan extended later.
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I don't believe that he made any contributions to Lie groups, considering that he died in 1832, and...
Jaimal Ichharam at Quora Mark as irrelevant Undo
What artists used them? I'm thinking artists like M.C. Escher.
Marguerite at Answerbag.com Mark as irrelevant Undo
Answer:
A basic course in Lie Groups and Lie Algebras can be handled with a good background in linear algebra...
Alon Amit at Quora Mark as irrelevant Undo
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Depending on your need for depth and explicitness, there are a few very well written texts. I would...
Yunjiang Jiang at Quora Mark as irrelevant Undo
Jim in a Nautilus COAT at Answerbag.com Mark as irrelevant Undo
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You really want all of them? If there are any jungles in mathematics this is surely one of them. As...
Alon Amit at Quora Mark as irrelevant Undo
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I can only tell you my experience, and you will probably have a different one depending on your mathematical...
Max Baroi at Quora Mark as irrelevant Undo
Answer:
I first apologise about my lack of knowledge, and hence comprehensive approach in this field. But i...
Bill Chan at Quora Mark as irrelevant Undo
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