Free quasi-symmetric functions, product actions and quantum field theory of partitions

Authors:

GDGerard Henry Edmond Duchamp
Gerard Henry Edmond Duchamp
JLJean-Gabriel Luque
Jean-Gabriel Luque
Karol A. Penson
Karol A. Penson
CTChristophe Tollu
Christophe Tollu

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13 December 2004

preprint
Published by arXiv in arXiv

DOI:10.48550/arXiv.cs/0412061

Abstract

We examine two associative products over the ring of symmetric functions related to the intransitive and Cartesian products of permutation groups. As an application, we give an enumeration of some Feynman type diagrams arising in Bender's QFT of partitions. We end by exploring possibilities to construct noncommutative analogues.

Keywords

SYMMETRIC FUNCTIONS
CARTESIAN PRODUCTS
PERMUTATION GROUPS
PRODUCT ACTIONS
QUASI SYMMETRIC
QUANTUM FIELD
FIELD THEORY
FREE QUASI
PARTITIONS

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Version 1, 2004-12-13, ArXiv

This publication has 2 references indexed in Scilit:

On the structure of cofree Hopf algebras
Journal für die reine und angewandte Mathematik (Crelles Journal), 2006
Hierarchical Dobi ski-type relations via substitution and the moment problem
Journal of Physics A: General Physics, 2004