Twisted vertex operators and unitary Lie algebras

Abstract

A representation of the central extension of the unitary Lie algebra coordinated with a skew Laurent polynomial ring is constructed using vertex operators over an integral Z_2-lattice. The irreducible decomposition of the representation is explicitly computed and described. As a by-product, some fundamental representations of affine Kac-Moody Lie algebra of type $A_n^{(2)}$ are recovered by the new method.

26 pages

References in corpus (2)

• Principal Vertex Operator Representations for Toroidal Lie Algebras
• Vertex representations via finite groups and the McKay correspondence

Cited by in corpus (1)

• Twisted quantum affinizations and their vertex representations