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

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

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Cited by in corpus (1)

• Invariants, Projection Operators and $SU(N)\times SU(N)$ Irreducible Schwinger Bosons