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29 March 2024
 
  » arxiv » hep-th/9407003

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Convex Bases of PBW type for Quantum Affine Algebras
Jonathan Beck ;
Date 1 Jul 1994
Journal Commun.Math.Phys. 165 (1994) 193-200
Subject High Energy Physics - Theory; Quantum Algebra | hep-th math.QA
AbstractThis note has two purposes. First we establish that the map defined in [L, $40.2.5$ (a)] is an isomorphism for certain admissible sequences. Second we show the map gives rise to a convex basis of Poincaré--Birkhoff--Witt (PBW) type for $up$, an affine untwisted quantized enveloping algebra of Drinfel$’$d and Jimbo. The computations in this paper are made possible by extending the usual braid group action by certain outer automorphisms of the algebra.
Source arXiv, hep-th/9407003
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