On Generalized Intersection Matrix Algebras Arising from 2-Fold Affinization of Cartan Matrices

On Generalized Intersection Matrix Algebras Arising from 2-Fold Affinization of Cartan Matrices
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DOI:
10.1080/00927872.2012.660262
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发表时间:
2013-05
影响因子:
0.7
通讯作者:
Rui Lv;Youjun Tan
Rui Lv;Youjun Tan
中科院分区:
数学3区
文献类型:
--
作者:
Rui Lv;Youjun Tan

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设聪慧矩阵的2重仿射A[2]的广义交矩阵代数为聪慧矩阵的2重仿射A[2]。讨论了<s:2> <s:2> <s:2> <s:2> <s:2>的根系、非简并不变双线性形式和Weyl群。
Let 𝔤𝔦𝔪(A [2]) be the generalized intersection matrix algebra associated to the 2-fold affinization A [2] of a simply-laced Cartan matrix . The root system, nondegenerate invariant bilinear form, and Weyl group of 𝔤𝔦𝔪(A [2]) are discussed.