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title:
 
Boundary Algebra and Exact Solvability of the Asymmetric Exclusion Process
publication:
 
JNMP
volume-issue:   15 - supplement 3
pages:   22 - 33
ISSN:
  1402-9251
DOI:
  doi:10.2991/jnmp.2008.15.s3.3 (how to use a DOI)
author(s):
 
Boyka Aneva
publication date:
 
October 2008
abstract:
 
We consider a lattice driven diffusive system withUq(su(2)) invariance in the bulk. Within the matrix product states approach the stationary probability distribution is expressed as a matrix product state with respect to a quadratic algebra. Boundary processes amount to the appearance of parameter dependent linear terms in the algebraic relations and lead to a reduction of the bulk symmetry. We find the boundary quantum group of the process to be a tridiagonal algebra, the linear covariance algebra for the bulk Uq(su(2)) symmetry, which allows for the exact solvability.
copyright:
 
© The authors.
This article is distributed under the terms of the Creative Commons Attribution License 4.0, which permits non-commercial use, distribution and reproduction in any medium, provided the original work is properly cited. See for details: https://creativecommons.org/licenses/by-nc/4.0/
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