Finite-dimensional representations of a shock algebra |
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Authors: | Eugene R Speer |
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Institution: | (1) Department of Mathematics, Rutgers University, 08903 New Brunswick, New Jersey |
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Abstract: | Abstruct The algebra describing a shock measure in the asymmetric simple exclusion model, seen from a second class particle, has finite-dimensional
representations if and only if the asymmetry parameterp of the model and the left and right asymptotic densitiesp
± of the shock satisfy (1−p)/p]
r
=p
−(1−p
+)/p
+(1−p
−) for some integerr≥1; the minimal dimension of the representation is then 2r. These representations can be used to calculate correlation functions
in the model. |
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Keywords: | Asymmetric simple exclusion process weakly asymmetric limit shock profiles second-class particles Burgers equation |
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