@article{Fauser2016-10-21Pleth-37443,
  year={2016},
  doi={10.1088/1751-8113/49/42/425201},
  title={Plethystic vertex operators and boson-fermion correspondences},
  number={42},
  volume={49},
  issn={1751-8113},
  journal={Journal of Physics / A: Mathematical and Theoretical},
  author={Fauser, Bertfried and Jarvis, Peter D and King, Ronald C},
  note={Article Number: 425201}
}

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    <dcterms:abstract xml:lang="eng">We study the algebraic properties of plethystic vertex operators, introduced in (2010 J. Phys. A: Math. Theor. 43 405202), 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 π. Here we establish an extension of the well-known boson-fermion correspondence involving Schur functions and their associated (Bernstein) vertex operators: for each π, 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 Hopf-algebraic structure of certain symmetric function series and their plethysms.</dcterms:abstract>
    <dcterms:issued>2016-10-21</dcterms:issued>
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    <dc:contributor>Fauser, Bertfried</dc:contributor>
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    <dc:language>eng</dc:language>
    <dc:contributor>King, Ronald C</dc:contributor>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2017-02-15T13:02:10Z</dc:date>
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    <dc:creator>Jarvis, Peter D</dc:creator>
    <dcterms:title>Plethystic vertex operators and boson-fermion correspondences</dcterms:title>
    <dc:creator>King, Ronald C</dc:creator>
    <dc:creator>Fauser, Bertfried</dc:creator>
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    <dc:contributor>Jarvis, Peter D</dc:contributor>
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