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braid group

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  • Braid group — In mathematics, the braid group on n strands, denoted by B n , is a certain group which has an intuitive geometrical representation, and in a sense generalizes the symmetric group S n . Here, n is a natural number; if n gt; 1, then B n is an… …   Wikipedia

  • Loop braid group — The loop braid group is a mathematical group structure that is used in some models of theoretical physics to model the exchange of particles with loop like topologies within three dimensions of space and time.The basic operations which generate a …   Wikipedia

  • Double affine braid group — In mathematics, a double affine braid group is a group containing the braid group of an affine Weyl group. Their group rings have quotients called double affine Hecke algebras in the same way that the group rings of affine braid groups have… …   Wikipedia

  • Braid theory — The braid is associated with a planar graph. The 24 elements of a permutatio …   Wikipedia

  • Braid (disambiguation) — A braid is an interweaving of strands. Braid may also refer to:* Braid (surname) * Braid theory, an abstract geometric theory in the field of topology * Braid group, a type of object in braid theory * Braid Station, a Vancouver SkyTrain station * …   Wikipedia

  • Braid statistics — In mathematics and theoretical physics, braid statistics is a generalization of the statistics of bosons and fermions based on the concept of braid group. A similar notion exists using a loop braid group. See also * Braid symmetry *… …   Wikipedia

  • Braid algebra — A braid algebra can be: *A Gerstenhaber algebra (also called an antibracket algebra). *An algebra related to the braid group …   Wikipedia

  • Group Captain — (Gp Capt in the RAF and Indian Air Force, GPCAPT in the RNZAF and RAAF, G/C in the former RCAF) is a senior commissioned rank in the Royal Air Force [cite web |url=http://www.raf.mod.uk/structure/commissionedranks.cfm |title=Ranks and Badges of… …   Wikipedia

  • braid — [[t]bre͟ɪd[/t]] braids, braiding, braided 1) N UNCOUNT Braid is a narrow piece of decorated cloth or twisted threads, which is used to decorate clothes or curtains. ...a plum coloured uniform with lots of gold braid. 2) VERB If you braid hair or… …   English dictionary

  • Braid — This unusual name is of Anglo Saxon origin, and is an example of that sizeable group of early surnames that were created from the habitual use of nicknames. These were given in the first instance with reference to a variety of attributes; a… …   Surnames reference

  • Modular group — For a group whose lattice of subgroups is modular see Iwasawa group. In mathematics, the modular group Γ is a fundamental object of study in number theory, geometry, algebra, and many other areas of advanced mathematics. The modular group can be… …   Wikipedia

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