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A Hopf laboratory for symmetric functions

Bertfried Fauser·P. D. Jarvis
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Abstract

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 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.

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BibTeXRIS

Bertfried Fauser, P. D. Jarvis. 2003-08-29. A Hopf laboratory for symmetric functions. https://doi.org/10.1088/0305-4470/37/5/012

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