Twisted fermionic and bosonic representations for a class of BC-graded Lie algebras

Abstract

In this paper, we study the fermionic and bosonic representations for a class of BC-graded Lie algebras coordinatized by skew Laurent polynomial rings. This generalizes the fermionic and bosonic constructions for the affine Kac-Moody algebras of type A _N ⁽²⁾.

Keywords

Fermionic and bosonic representation / graded Lie algebra / unitary representation

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