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Schwinger representation for the symmetric group: Two explicit constructions for the carrier space
Authors:S. Chaturvedi  G. Marmo  R. Simon
Affiliation:a Institute for Mathematical Sciences, Imperial College London, London SW7 2BW, UK
b School of Physics, University of Hyderabad, Hyderabad 500 046, India
c Dipartimento di Scienze Fisiche, Universita di Napoli Federico II and INFN, Via Cintia, 80126 Napoli, Italy
d Centre for High Energy Physics, Indian Institute of Science, Bangalore 560 012, India
e Institute of Mathematical Sciences, C.I.T. Campus, Chennai 600 113, India
Abstract:We give two explicit constructions for the carrier space for the Schwinger representation of the group Sn. While the first relies on a class of functions consisting of monomials in antisymmetric variables, the second is based on the Fock space associated with the Greenberg algebra.
Keywords:02.20.-a   03.65.Fd
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