English

Insertion and Elimination Lie Algebra: the Ladder case

Quantum Algebra 2009-11-10 v4 High Energy Physics - Theory Mathematical Physics math.MP

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

Keywords

Cite

@article{arxiv.math/0308042,
  title  = {Insertion and Elimination Lie Algebra: the Ladder case},
  author = {Igor Mencattini and Dirk Kreimer},
  journal= {arXiv preprint arXiv:math/0308042},
  year   = {2009}
}

Comments

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