Level two vertex representations of

DOI10.1080/00927879908826702zbMath1007.17019OpenAlexW2129251807MaRDI QIDQ4262380

Christopher M. Lyerly, Naihuan Jing

Publication date: 6 March 2003

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879908826702

zbMATH Keywords

vertex operatorWakimoto modulebosonic fieldsexceptional affine Kac-Moody Lie algebraexplicit higher level representationslevel two representation

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Vertex operators; vertex operator algebras and related structures (17B69)

Cites Work

• Fock representations of the affine Lie algebra \(A_ 1^{(1)}\)
• Vertex operators for non-simply-laced algebras
• Level one representations of the simple affine Kac-Moody algebras in their homogeneous gradations
• Basic representations of affine Lie algebras and dual resonance models
• Unitary representations of some infinite dimensional groups
• Construction of the affine Lie algebra \(A^{(1)}_1\)
• Vertex operators of G₂⁽¹⁾and B_l⁽¹⁾
• Level one representations of $U_q(G_2^{(1)}$

This page was built for publication: Level two vertex representations of