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Group operation (translated from German)
Group operation In that Mathematik the term steps ... Link operation (or Link action) one Gruppe <math>Gmath> on a quantity <math>Mmath> is one Illustration |
Math (Uncyclopedia.org wiki)
Math “Math” ~ Oscar Wilde on {{{2}}} "<math>\sqrt{math-is-radical!}math>" ~ Mark Twain on Math "Why the beep?" ~ Stephen Wolfram on ...
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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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Sub-group (translated from German)
Sub-group In that Gruppentheorie that Mathematik is one Sub-group a nonempty subset of one Group <math>(G, \circ)math>, relative even again ...
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Amenable group
Amenable group In mathematics, an amenable group is a topological group G carrying a kind of averaging operation, that is invariant under translations by group elements. In the case where G is not an abelian group, that means translation on a fixed ...
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Quantum group
Quantum group In mathematics and theoretical physics, quantum groups ... common structure, which is called a "quantum group", after the work of Vladimir Drinfel'd ... more generally, a Kac-Moody algebra. Let <math>A = (a_{ij})math> be the Cartan matrix of the Kac ... number distinct from 1, then the quantum group, , where G ...
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Lorentz group
Lorentz group In physics, the Lorentz group is the group of all Lorentz transformations of Minkowski spacetime ... invariant under Lorentz transformations. Therefore the Lorentz group can be said to express a fundamental ... laws of nature. Basic properties The Lorentz group is a subgroup of the Poincaré ...
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Heisenberg group
Heisenberg group In mathematics, the Heisenberg group, named after Werner Heisenberg, is a group of 33 upper triangular matrices of the form <math>\begin{pmatrix} 1 & a & c\\ 0 & 1 & b\\ 0 & 0 & 1\\ \end{pmatrix}. math> Elements a,b,c can be ...
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Renormalization group
Renormalization group In theoretical physics, renormalization group (RG) refers to a set of techniques ... the system is at a given temperature <math>Tmath>. The strength of their interaction is measured by a certain coupling constant <math>J. The physics of the ...
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Group algebra
Group algebra In mathematics, the group algebra is any of various constructions to assign to a group (either a locally compact topological group, or a group without a topology, i.e. a ...
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