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Insertion and Elimination Lie Algebra: The Ladder Case |
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| Authors: | Mencattini Igor Kreimer Dirk |
| Institution: | (1) Department of Mathematics and Statistics, Boston University, 111 Cummington Street, Boston, MA, 02215, U.S.A.;(2) CNRS, IHES, 35, Route De Chartres, 91440 Bures-sur-Yvette, France |
| Abstract: | We prove that the 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 will discuss some relations with the representation of the Heisenberg algebra. |
| Keywords: | Dyson— Schwinger equations Feynman graphs Heisenberg algebra insertion-elimination Lie algebras ladder graphs |
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