Higher level representations of the quantum affine algebra \(U_ q(\hat sl(2))\) (Q1922471)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Higher level representations of the quantum affine algebra \(U_ q(\hat sl(2))\) |
scientific article; zbMATH DE number 922314
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Higher level representations of the quantum affine algebra \(U_ q(\hat sl(2))\) |
scientific article; zbMATH DE number 922314 |
Statements
Higher level representations of the quantum affine algebra \(U_ q(\hat sl(2))\) (English)
0 references
22 June 1997
0 references
\(Z\)-algebras were introduced by J. Lepowsky and R. L. Wilson to study standard modules of affine Lie algebras. In this paper the author introduces a quantum analogue of \(Z\)-algebras in the homogeneous picture. He then uses these to study higher level modules for the quantized version of the algebra \(A^{(1)}_1\) in the homogeneous picture. An explicit basis for these modules is obtained.
0 references
vertex operators
0 references
quantum affine algebras
0 references
quantum analogue of \(Z\)-algebras
0 references
higher level modules
0 references
explicit basis
0 references
