An application of braid group theory to the finite time dead-core rate

2010 ◽  
Vol 10 (4) ◽  
pp. 835-855 ◽  
Author(s):  
Jong-Shenq Guo ◽  
Hiroshi Matano ◽  
Chin-Chin Wu
Keyword(s):  
Group Theory ◽  
Braid Group ◽  
Finite Time ◽  
Dead Core

scholarly journals LOCAL FRACTIONAL SUPERSYMMETRY FOR ALTERNATIVE STATISTICS

1996 ◽  
Vol 11 (11) ◽  
pp. 899-913 ◽  
Author(s):  
N. FLEURY ◽  
M. RAUSCH DE TRAUBENBERG
Keyword(s):  
Group Theory ◽  
Braid Group ◽  
Equation Of Motion ◽  
Coset Space ◽  
One Dimensional ◽  
The One

A group theory justification of one-dimensional fractional supersymmetry is proposed using an analog of a coset space, just like the one introduced in 1-D supersymmetry. This theory is then gauged to obtain a local fractional supersymmetry, i.e. a fractional supergravity which is then quantized à la Dirac to obtain an equation of motion for a particle which is in a representation of the braid group and should describe alternative statistics. A formulation invariant under general reparametrization is given by means of a curved fractional superline.

Rotations of 4nπ Research and no Twisted Mechanism Example Analysis Based on the Theory of Braid Group

2014 ◽  
Vol 536-537 ◽  
pp. 1355-1360
Author(s):  
Zhi Yu Fu ◽  
Lu Bin Hang ◽  
Hai Xu ◽  
Jin Cai ◽  
Huai Qiang Bian ◽  
...  
Keyword(s):  
Group Theory ◽  
Mechanism Design ◽  
Braid Group ◽  
Twisted State ◽  
Braid Theory

The Cable or Pipe between the Two Relatively Rotating Platforms Exists the Twisted Problem. from Viewpoint of Braid Group Theory, Rope’s Twisted State is Researched on. Based on the Characteristics of a Special Garside Braids Δn and Δnk , the Equivalence of Two Rotation Modes is Revealed. also, that the Determination of Rotation Mode’s Minimum Rotate Range is 4∏ while Using Braid Theory is Proposed. the Theory of Braid Group can Not only be Used as a Criterion for Determine Whether the Cable is Twisted, Finally, but also can be Used as Avoid Cable Twisted during Mechanism Design.

FINITE LINEAR QUOTIENTS OF ${\mathcal{B}}_3$ OF LOW DIMENSION

2010 ◽  
Vol 19 (05) ◽  
pp. 587-600 ◽  
Author(s):  
ERIC C. ROWELL ◽  
IMRE TUBA
Keyword(s):  
Group Theory ◽  
Irreducible Representation ◽  
Quantum Groups ◽  
Braid Group ◽  
Computational Group Theory ◽  
Finite Image ◽  
Low Dimension ◽  
Finite Linear ◽  
Linear Quotients

We study the problem of deciding whether or not the image of an irreducible representation of the braid group [Formula: see text] of degree ≤ 5 has finite image if we are only given the eigenvalues of a generator. We provide a partial algorithm that determines when the images are finite or infinite in all but finitely many cases, and use these results to study examples coming from quantum groups. Our technique uses two classification theorems and the computational group theory package GAP.

Sign in / Sign up

Export Citation Format

Share Document