publication . Preprint . 2016

Comments related to infinite wedge representations

Grieve, Nathan;
Open Access English
  • Published: 29 Jun 2016
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.
free text keywords: Mathematics - Combinatorics, Mathematics - Representation Theory
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