Comments related to infinite wedge representations
Combinatorics
2021-08-11 v2 Representation Theory
Abstract
We study the infinite wedge representation and show how it is related to the universal extension of the loop algebra of a complex semi-simple Lie algebra . 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.
Cite
@article{arxiv.1606.09175,
title = {Comments related to infinite wedge representations},
author = {Nathan Grieve},
journal= {arXiv preprint arXiv:1606.09175},
year = {2021}
}
Comments
Final Version. Published in by C. R. Math. Acad. Sci. Soc. R. Can (2017)