Convex bases of PBW type for quantum affine algebras
Convex bases of PBW type for quantum affine algebras
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DOI：
10.1007/bf02099742
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发表时间：
1994-07
影响因子：
2.4
通讯作者：
J. Beck
中科院分区：
文献类型：
--
作者：
J. Beck
本说明有两个目的。首先，我们证明了[L，Sect.40.2.5（a）]中定义的映射对于某些容许序列是同构的。其次，我们证明了映射产生的Poincaré-Birkhoff-Witt（PBW）型凸基U+，Drinfel和Jimbo的仿射无扭量子化包络代数。本文的计算是通过将辫子群作用推广到代数的某些外自同构而实现的。
This note has two purposes. First we establish that the map defined in [L, Sect. 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 U+, an affine untwisted quantized enveloping algebra of Drinfel's and Jimbo. The computations in this paper are made possible by extending the braid group action by certain outer automorphisms of the algebra.