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Title: Two-parameter quantum affine algebra of type G{sub 2}{sup (1)}, Drinfeld realization and vertex representation

In this paper, we define the two-parameter quantum affine algebra for type G{sub 2}{sup (1)} and give the (r, s)-Drinfeld realization of U{sub r,s}(G{sub 2}{sup (1)}), as well as establish and prove its Drinfeld isomorphism. We construct and verify explicitly the level-one vertex representation of two-parameter quantum affine algebra U{sub r,s}(G{sub 2}{sup (1)}), which also supports an evidence in nontwisted type G{sub 2}{sup (1)} for the uniform defining approach via the two-parameter τ-invariant generating functions proposed in Hu and Zhang [Generating functions with τ-invariance and vertex representations of two-parameter quantum affine algebras U{sub r,s}(g{sup ^}): Simply laced cases e-print http://arxiv.org/abs/1401.4925 ].
Authors:
 [1] ;  [2] ;  [3]
  1. Department of Mathematics and Statistics, York University, 4700 Keele Street, Toronto, Ontario M3J 1P3 (Canada)
  2. Department of Mathematics, East China Normal University, Shanghai 200241 (China)
  3. Department of Mathematics, Shanghai University, Shanghai 200444 (China)
Publication Date:
OSTI Identifier:
22403075
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 56; Journal Issue: 1; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGEBRA; QUANTUM FIELD THEORY; QUANTUM MECHANICS; VERTEX FUNCTIONS