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
Publié le : 2003-08-05
Classification:
Mathematics - Quantum Algebra,
High Energy Physics - Theory,
Mathematical Physics,
17B65, 17B70, 16W30, 81T18, 81T15
@article{0308042,
author = {Mencattini, Igor and Kreimer, Dirk},
title = {Insertion and Elimination Lie Algebra: the Ladder case},
journal = {arXiv},
volume = {2003},
number = {0},
year = {2003},
language = {en},
url = {http://dml.mathdoc.fr/item/0308042}
}
Mencattini, Igor; Kreimer, Dirk. Insertion and Elimination Lie Algebra: the Ladder case. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0308042/