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Insertion and Elimination Lie Algebra: the Ladder case

Igor Mencattini, Dirk Kreimer

math.QAarXiv:math/0308042

Abstract

We prove that insertion-elimination Lie algebra of Feynman graphs, in the ladder case, has a natural interpretation in terms of a certain algebra of infinite dimensional matrices. We study some aspects of its representation theory and we discuss some relations with the representation of the Heisenberg algebra

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