Feynman graphs, rooted trees, and Ringel-Hall algebras

We construct symmetric monoidal categories $\LRF, \FD$ of rooted forests and Feynman graphs. These categories closely resemble finitary abelian categories, and in particular, the notion of Ringel-Hall algebra applies. The Ringel-Hall Hopf algebras of $\LRF, \FD$, $\HH_{\LRF}, \HH_{\FD}$ are dual to...

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Bibliographic Details
Main Authors: Kremnizer, K, Szczesny, M
Format: Journal article
Language:English
Published: 2008