Insertion and Elimination Lie Algebra: the Ladder case

Details Insertion and Elimination Lie Algebra: the Ladder case Insertion and Elimination Lie Algebra: the Ladder case

2003-08-05

arxiv.org/abs/math/0308042v4

Lett.Math.Phys. 67 (2004) 61-74

Mathematics

Quantum Algebra

LaTex, 17 pages, typos corrected, to appear in LMP

Scientific paper

10.1023/B:MATH.0000027749.09118.

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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