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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 | Abstract: | This 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 | Services: | Forum | Review | PDF | Favorites |
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