Representations of affine Nappi–Witten algebras
Copyright policy )Representations of affine Nappi–Witten algebras
In this paper, we study the representation theory for the affine Lie algebra $\H$ associated to the Nappi-Witten model $H_{4}$. We classify all the irreducible highest weight modules of $\H$. Furthermore, we give a necessary and sufficient condition for each $\H$-(generalized) Verma module to be irreducible. For reducible ones, we characterize all the linearly independent singular vectors. Finally, we construct Wakimoto type modules for these Lie algebras and interpret this construction in terms of vertex operator algebras and their modules.
26 pages
- Shanghai Jiao Tong University China (People's Republic of)
- Shanghai Normal University China (People's Republic of)
- SHANGHAI NORMAL UNIVERSITY China (People's Republic of)
- Shanghai Normal University China (People's Republic of)
- Shanghai Normal University
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), highest weight representations, Algebra and Number Theory, 17B65, 17B67, 17B68, 17B69, Highest weight representations, singular vectors, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, classification of irreducible modules, Singular vectors, Mathematics - Quantum Algebra, affine Nappi-Witten algebras, FOS: Mathematics, Quantum Algebra (math.QA), Affine Nappi–Witten algebras, Classification of irreducible modules, Vertex operators; vertex operator algebras and related structures
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), highest weight representations, Algebra and Number Theory, 17B65, 17B67, 17B68, 17B69, Highest weight representations, singular vectors, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, classification of irreducible modules, Singular vectors, Mathematics - Quantum Algebra, affine Nappi-Witten algebras, FOS: Mathematics, Quantum Algebra (math.QA), Affine Nappi–Witten algebras, Classification of irreducible modules, Vertex operators; vertex operator algebras and related structures
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).9 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!