An analysis of symmetric function theory is given from the perspective of the underlying Hopf and bi-algebraic structures. These are presented explicitly in terms of standard symmetric function operations. Particular attention is focused on Laplace pairing, Sweedler cohomology for 1- and 2-cochains and twisted products (Rota cliffordizations) induced by branching operators in the symmetric function context. The latter are shown to include the algebras of symmetric functions of orthogonal and symplectic type. A commentary on related issues in the combinatorial approach to quantum field theory is given.

Item Type:	Refereed Article
Research Division:	Physical Sciences
Research Group:	Other Physical Sciences
Research Field:	Physical Sciences not elsewhere classified
Objective Division:	Expanding Knowledge
Objective Group:	Expanding Knowledge
Objective Field:	Expanding Knowledge in the Physical Sciences
UTAS Author:	Fauser, B (Dr Bertfried Fauser)
UTAS Author:	Jarvis, PD (Dr Peter Jarvis)
ID Code:	30821
Year Published:	2004
Web of Science® Times Cited:	19
Deposited By:	Physics
Deposited On:	2004-08-01
Last Modified:	2011-08-01
Downloads:	0