A Hopf laboratory for symmetric functions

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dc.creatorFauser, Bertfried
dc.creatorJarvis, P. D.
dc.date2003-08-29
dc.date.accessioned2026-07-07T10:50:37Z
dc.date.available2026-07-07T10:50:37Z
dc.descriptionAn 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 focussed 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.
dc.description29 pages, LaTeX, uses amsmath
dc.identifierhttps://arxiv.org/abs/math-ph/0308043
dc.identifierhttp://arxiv.org/abs/math-ph/0308043
dc.identifierJ.Phys.A37:1633-1664,2004
dc.identifierdoi:10.1088/0305-4470/37/5/012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184590
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Algebra
dc.subject05E05;16W30;20G10;11E57
dc.titleA Hopf laboratory for symmetric functions
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