In mathematics, the braid group on n strands (denoted B n {\displaystyle B_{n}} ), also known as the Artin braid group, is the group whose elements are...

range of structures (such as a fishtail braid, a five-stranded braid, rope braid, a French braid and a waterfall braid). The structure is usually long and...

spherical braid group or Hurwitz braid group is a braid group on n strands. In comparison with the usual braid group, it has an additional group relation...

the classifying space of the n {\displaystyle n} th braid group (see below). The n-strand braid group on a connected topological space X is B n ( X ) :=...

theoretical physics, braid statistics is a generalization of the spin statistics of bosons and fermions based on the concept of braid group. While for fermions...

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...

term group-based cryptography refers mostly to cryptographic protocols that use infinite non-abelian groups such as a braid group. List of group theory...

center; equivalently, to the group of inner automorphisms of B3. The braid group B3 in turn is isomorphic to the knot group of the trefoil knot. The quotients...

In mathematics the Burau representation is a representation of the braid groups, named after and originally studied by the German mathematician Werner...

mathematical area of group theory, Artin groups, also known as Artin–Tits groups or generalized braid groups, are a family of infinite discrete groups defined by...

Yang–Baxter equation also shows up when discussing knot theory and the braid groups where R {\displaystyle R} corresponds to swapping two strands. Since...

Braid is an American emo band from Champaign, Illinois, formed in 1993. Following several early line-up changes, the band eventually settled on Bob Nanna...

A generalized braid group is said to be of spherical type if the associated Coxeter group is finite. If B is a generalized braid group of spherical type...

range of structures (such as a fishtail braid, a five-stranded braid, rope braid, a French braid and a waterfall braid). The structure is usually long and...

symmetric group over an arbitrary field is widely regarded as one of the most important open problems in representation theory. Braid group History of group theory...

dimensions the group of permutations of two particles is no longer the symmetric group S2 (with two elements) but rather the braid group B2 (with an infinite...

world lines intertwine to form braids in a three-dimensional spacetime (one temporal and two spatial dimensions). The braids act as the logic gates of the...

SkyTrain station Braid, a civil parish in County Antrim, Northern Ireland Braid in Edinburgh: Hermitage of Braid Braid Hills Braid Burn Braid theory, an abstract...

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...

identities defined below. The term braided references the fact that the braid group plays an important role in the theory of braided monoidal categories. Partly...

In mathematics, an affine braid group is a braid group associated to an affine Coxeter system. Their group rings have quotients called affine Hecke algebras...

class group of surfaces are related to various other groups, in particular braid groups and outer automorphism groups. The mapping class group appeared...

A braid algebra can be: A Gerstenhaber algebra (also called an antibracket algebra). An algebra related to the braid group. This disambiguation page lists...

nanowires. This braiding process forms a projective representation of the braid group. Such a realization of Majoranas would allow them to be used to store...

use of braid groups to develop cryptographic protocols. Later several other non-commutative structures like Thompson groups, polycyclic groups, Grigorchuk...

In the mathematical area of braid theory, the Dehornoy order is a left-invariant total order on the braid group, found by Patrick Dehornoy. Dehornoy's...

set of generators for a given arithmetic group. Braid groups (which are defined as a finitely presented group) have faithful linear representation on a...

introduced, among other things, certain novel linear representations of the braid group — known as Lawrence–Krammer representation. In papers published in 2000...

mostly to cryptographic protocols that use infinite non-abelian groups such as a braid group. Shpilrain–Zapata public-key protocols Magyarik–Wagner public...

introduced, among other things, certain novel linear representations of the braid group — known as Lawrence–Krammer representations. In papers published in 2000...