Fermionic realization of twisted toroidal Lie algebras

preprint2020arXivOpen access

Abstract

In this paper, we construct a fermionic realization of the twisted toroidal Lie algebra of type A2n−1,Dn+1,A2nA_{2n-1}, D_{n+1}, A_{2n} and D4D_4 based on the newly found Moody-Rao-Yokonuma-like presentation.

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