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

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

2004-12-13

arxiv.org/abs/cs/0412061v1

Computer Science

Symbolic Computation

Submitted 28.11.04

Scientific paper

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.

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