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chronnox
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Does anyone here know where i can find some information about this groups. Specifically the lie algebra of the generators of these groups?
chronnox said:Does anyone here know where i can find some information about this groups. Specifically the lie algebra of the generators of these groups?
See what I have written on the subject in
https://www.physicsforums.com/showthread.php?t=172461
regards
sam
A conformal group is a mathematical concept used in physics and mathematics to describe symmetries of a space or object under conformal transformations. These transformations preserve angles and shapes, but not necessarily distances.
The Lie algebra of generators of a conformal group is a set of mathematical objects that describe the infinitesimal transformations of the group. These generators are used to construct the full conformal group and are represented by matrices or differential operators.
Conformal groups are used in physics to study symmetries of physical systems, such as in quantum field theory and general relativity. These groups are important in understanding the behavior of physical systems under transformations and can help simplify calculations and describe physical phenomena.
A conformal group is a type of symmetry group that specifically preserves angles and shapes, while a symmetry group can preserve other properties such as distances or orientation. Additionally, a conformal group is a special case of a symmetry group that includes scale transformations.
The Lie algebra of generators of a conformal group is related to other algebraic structures such as Lie algebras, Lie groups, and Lie superalgebras. It is also connected to other mathematical concepts such as differential geometry, group theory, and representation theory.