2003/08/29 by Bertfried Fauser, Peter Jarvis, P. D. Jarvis · 3 citations
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic structures and combinatorial models #hep-th #math-ph #math.MP #math.QA #msc:05E05 #msc:11E57 #msc:16W30 #msc:20G10
paper · pdf · doi:10.1088/0305-4470/37/5/012
published as J.Phys.A37:1633-1664,2004 · 29 pages, LaTeX, uses amsmath
arxiv created 2003/08/29 · openalex publication_date 2004/01/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
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.