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Schwinger Representation for the Symmetric Group: Two explicit constructions for the Carrier Space

arXiv:0711.3729 · doi:10.1016/j.physleta.2008.02.071

Abstract

We give two explicit construction for the carrier space for the Schwinger representation of the group $S_n$. 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.

Latex, 6 pages