Integrals of Vertex Operators and uantum Shuffles |
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Authors: | Rosso Marc |
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Institution: | (1) Institut de Recherche Mathématique, Université Louis Pasteur et Institut Universitaire de France, Avancée 7, rue René Descartes, F-67084 Strasbourg Cedex, France |
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Abstract: | Given a braided vector space
, we show that iterated integrals of operator-valued functions satisfying a certain exchange relation give rise to representations of the quantum shuffle algebra built on
. Using the quantum shuffle construction of the 'upper triangular part'
of a quantum shuffle, this provides a simple proof of the result of Bouwknegt, MacCarthy and Pilch saying that integrals of vertex operators acting on certain Fock modules give rise to representations of
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Keywords: | quantized enveloping algebras vertex operators iterated integrals |
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