dc.contributor.author Fauser, Bertfried dc.contributor.author Jarvis, Peter D. dc.contributor.author King, Ronald C. dc.date.accessioned 2016-06-17T12:00:04Z dc.date.accessioned 2016-10-05T14:14:06Z dc.date.available 2016-06-17T12:00:04Z dc.date.available 2016-10-05T14:14:06Z dc.date.issued 2016-06-17 dc.identifier.uri http://publications.mfo.de/handle/mfo/1121 dc.description Research in Pairs 2014 en_US dc.description.abstract We study the algebraic properties of plethystic vertex operators, introduced in J. Phys. A: Math. Theor. 43 405202 (2010), underlying the structure of symmetric functions associated with certain generalized universal character rings of subgroups of the general linear group, defined to stabilize tensors of Young symmetry type characterized by a partition of arbitrary shape $\pi$. Here we establish an extension of the well-known boson-fermion correspondence involving Schur functions and their associated (Bernstein) vertex operators: for each $\pi$, the modes generated by the plethystic vertex operators and their suitably constructed duals, satisfy the anticommutation relations of a complex Clifford algebra. The combinatorial manipulations underlying the results involve exchange identities exploiting the Hopfalgebraic structure of certain symmetric function series and their plethysms. en_US dc.language.iso en en_US dc.publisher Mathematisches Forschungsinstitut Oberwolfach en_US dc.relation.ispartofseries Oberwolfach Preprints;2016,11 dc.title Plethystic Vertex Operators and Boson-Fermion Correspondences en_US dc.type Preprint en_US dc.identifier.doi 10.14760/OWP-2016-11 local.scientificprogram Research in Pairs 2014 local.series.id OWP-2016-11
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