Comments related to infinite wedge representations
Abstract
We study the infinite wedge representation and show how it is related to the universal extension of g[t,t-1] the loop algebra of a complex semi-simple Lie algebra g. We also give an elementary proof of the boson-fermion correspondence. Our approach to proving this result is based on a combinatorial construction with partitions combined with an application of the Murnaghan-Nakayama rule.
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