Free quasi-symmetric functions, product actions and quantum field theory of partitions.
Duchamp, Gérard Henry Edmond ; Luque, Jean-Gabriel ; Penson, Karol A. ; Tollu, Christophe
HAL, hal-00003552 / Harvested from HAL
Text on HAL
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.
Publié le : 2004-12-13
Classification:  Fonctions symetriques,  enumeration,  Feynman diagrams,  [INFO.INFO-SC]Computer Science [cs]/Symbolic Computation [cs.SC],  [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO],  [PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph] 
@article{hal-00003552,
     author = {Duchamp, G\'erard Henry Edmond and Luque, Jean-Gabriel and Penson, Karol A. and Tollu, Christophe},
     title = {Free quasi-symmetric functions, product actions and quantum field theory of partitions.},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00003552}
}

Duchamp, Gérard Henry Edmond; Luque, Jean-Gabriel; Penson, Karol A.; Tollu, Christophe. Free quasi-symmetric functions, product actions and quantum field theory of partitions.. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00003552/