Toward a vertex operator construction of quantum affine algebras

Autor:	Semyon Klevtsov
Rok vydání:	2008
Předmět:	Physics Vertex (graph theory) Quantum affine algebra Pure mathematics Operator (computer programming) Lie algebra Statistical and Nonlinear Physics Affine transformation Algebra over a field Free field Quantum Mathematical Physics
Zdroj:	Theoretical and Mathematical Physics. 154:201-208
ISSN:	1573-9333 0040-5779
DOI:	10.1007/s11232-008-0019-6
Popis:	We describe the construction of the quantum deformed affine Lie algebras using the vertex operators in the free field theory. We prove the Serre relations for the quantum deformed Borel subalgebras of affine algebras, namely the case of $\hat{\it sl}_{2}$ is considered in detail. We provide some formulas for generators of affine algebra.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::3a6ecd46746f552f9a2be7e3f2e0da56 https://doi.org/10.1007/s11232-008-0019-6 Zobrazit plný text záznamu Plný text ve formátu PDF