Generating Functions with $\tau$-Invariance and Vertex Representations of Quantum Affine Algebras $U_{r,s}(\widehat{\mathfrak{g}})$ (I): Simply-laced Cases

Autor:	Hu, Naihong, Zhang, Honglian
Rok vydání:	2014
Předmět:	Mathematics - Quantum Algebra Mathematical Physics Mathematics - Representation Theory
Druh dokumentu:	Working Paper
Popis:	We put forward the exact version of two-parameter generating functions with $\tau$-invariance, which allows us to give a unified and inherent definition for the Drinfeld realization of two-parameter quantum affine algebras for all the untwisted types. As verification, we first construct their level-one vertex representations of $U_{r,s}(\widehat{\mathfrak{g}})$ for simply-laced types, which in turn well-detect the effectiveness of our definitions both for $(r,s)$-generating functions and $(r,s)$-Drinfeld realization in the framework of establishing the two-parameter vertex representation theory. Comment: 44 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1401.4925 Zobrazit plný text záznamu View this record from Arxiv