Higher-Dimensional Automorphic Lie Algebras
作者: Vincent KnibbelerSara LombardoJan A. Sanders
作者单位: 1Vrije Universiteit
2Northumbria University
刊名: Foundations of Computational Mathematics, 2017, Vol.17 (4), pp.987-1035
来源数据库: Springer Nature Journal
DOI: 10.1007/s10208-016-9312-1
关键词: Automorphic Lie AlgebrasInfinite-dimensional Lie algebrasChevalley normal forms16Z0517B0517B6517B80
原始语种摘要: The paper presents the complete classification of Automorphic Lie Algebras based on \({{\mathfrak {sl}}}_{n}(\mathbb {C})\) , where the symmetry group G is finite and acts on \({{\mathfrak {sl}}}_n(\mathbb {C})\) by inner automorphisms, \({{\mathfrak {sl}}}_n(\mathbb {C})\) has no trivial summands, and where the poles are in any of the exceptional G -orbits in \(\overline{\mathbb {C}}\) . A key feature of the classification is the study of the algebras in the context of classical invariant theory . This provides on the one hand a powerful tool from the computational point of view; on the other, it opens new questions from an algebraic perspective (e.g. structure theory), which suggest further applications of these algebras, beyond the context of integrable systems. In particular, the...
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影响因子:1.918 (2012)

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关键词翻译
关键词翻译
  • classical 经典的
  • invariant 不变量
  • algebraic 代数的
  • computational 计算的
  • symmetry 对称
  • feature 结构元件
  • where 哪里
  • overline 跨线的
  • applications 应用程序
  • point