Braid group
Braid group In mathematics, the braid group on n strands, denoted by B n , is a certain group which has an intuitive geometrical representation, ...
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Braid theory
Braid theory In topology, braid theory is an abstract geometric theory studying the everyday braid concept, and some generalisations. The idea is ... be organised into groups, in which the group operation is 'do the first braid on a set of strings, and ...
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Mono braid   (translated from German)
Mono braid One Mono braid an individual siebendraehtige is in the building ... becomes for those Spannbeton -building method without group uses. Typical mono braids have 140 mm² ...
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Symmetric group
Symmetric group In mathematics, the symmetric group on a set X, denoted by S X or Sym(X), is the group whose underlying set is the set of ... from X to X, in which the group operation is that of composition of functions ... Using this operation, S X forms a group. The operation is also written as ...
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Artin group
Artin group In mathematics, an Artin group (or generalized braid group) is a group with a presentation of the form < ...
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Reflection group
Reflection group A reflection group is a group action, acting on a finite dimensional vector ... reflections in planes in 3D, a reflection group is an isometry group generated by these reflections. The discrete ...
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Knot group
Knot group In mathematics, a knot is an embedding ... into 3-dimensional Euclidean space. The knot group of a knot K is defined as the fundamental group of the knot complement of K in ... have isomorphic knot groups, so the knot group is a knot invariant and can be ... knots. Examples The unknot has a knot group isomorphic to Z, the infinite cyclic ...
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Braid statistics
Braid statistics Particle statistics Maxwell-Boltzmann statistics Bose ... statistics Fermi-Dirac statistics Parastatistics Anyonic statistics Braid statistics edit In mathematics and theoretical physics, braid statistics is a generalization of the statistics ... and fermions based on the concept of braid group. See also Braid symmetry Parastatistics Plekton
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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 ... number distinct from 1, then the quantum group, $U\_q(G)$, where G is ... f_i) = - q_i f_i. Alternatively, the quantum group $U\_q(G)$ can be regarded ... math>\Bbb C. Similarly, the quantum group $U\_q(G)$ can be ...
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Body setter group   (translated from Japanese)
Body setter group mathematics Body setter group(The body setter ぐ it is,Coxeter group) involution formation system , the relational expression which ... string relational expression generator basic relational expression group . Jack ティッツ As for (Jacques Tits), the ... the reflection (opposite) (in the body setter group the higher-order original) Euclidean space ...
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