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List of group theory topics
List of group theory topics This is a list of group theory topics, by Wikipedia page, to provide an ... of abstract algebra topics, List of category theory topics, list of Lie group topics. ...
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Representation theory of the Galilean group
Representation theory of the Galilean group In nonrelativistic quantum mechanics, an account can ... and spin as follows: The spacetime symmetry group of nonrelativistic mechanics is the Galilean group. Since we are interested in projective representations of this group, which is equivalent to unitary representations ...
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Representation theory of the Poincaré group
Representation theory of the Poincaré group In mathematics, the representation theory of the double cover of the Poincaré group is an example of the theory for a Lie group, in a ...
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Lorentz group
Lorentz group In physics, the Lorentz group is the group of all Lorentz transformations of Minkowski spacetime ... relativity, Maxwell's field equations in the theory of electromagnetism, Dirac's equation in the theory of the electron, are each invariant ...
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Group action
Group action This article is about the mathematical concept. For the sociology term, see group action (sociology). In mathematics, a symmetry group describes all symmetries of objects. This is formalized by the notion of a group action: every element of the group "acts" like a bijective map (or " ...
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Monster group
Monster group In mathematics, the Monster group M is a group of order 2 46 3 20 ... 10 53 . It is a simple group, meaning it does not have any normal ... not follow any apparent pattern. The Monster group is the largest of these sporadic ...
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Dihedral group of order 6
Dihedral group of order 6 The smallest non-Abelian group has 6 elements. It is a dihedral group with notation D 3 or D 6 ... unfortunately both are used) and the symmetric group of degree 3, with notation S 3 . This page illustrates many group concepts using this group as example. ...
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General linear group
General linear group In mathematics, the general linear group of degree n over a field F ... written as GL(n, F), is the group of nn invertible matrices with entries from F, with the group operation that of ordinary matrix multiplication. (This is indeed a group because the product of two invertible ...
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Representation theory of diffeomorphism groups
Representation theory of diffeomorphism groups In mathematics, a source for the representation theory of the group of diffeomorphisms of a smooth manifold M ... initial observation that (for M connected) that group acts transitively on M. A survey paper ... Diff(M) be the (orientation-preserving) diffeomorphism group of M (only the connected part ...
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Talk:Group action
Talk:Group action I'm not sure about the ... usually called "orbits" (as in the Orbit-Stabilizer Theorem). --Zundark, 2001 Oct 28 I removed ... in the first paragraph since a permutation group on M is a subgroups of Sym(M), while a transformation group G on M is given by a ... G.A ≠ A, with G a group. Charles Matthews 16:21, 15 November ...
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