Trigonometric Lie algebras, affine Lie algebras, and vertex algebras
作者: Haisheng LiShaobin TanQing Wang
作者单位: 1Department of Mathematical Sciences, Rutgers University, Camden, NJ 08102, USA
2School of Mathematical Sciences, Xiamen University, Xiamen 361005, China
刊名: Advances in Mathematics, 2020, Vol.363
来源数据库: Elsevier Journal
DOI: 10.1016/j.aim.2020.106985
关键词: Trigonometric Lie algebrasAffine Lie algebrasVertex algebras
原始语种摘要: Abstract(#br)In this paper, we explore natural connections among trigonometric Lie algebras, (general) affine Lie algebras, and vertex algebras. Among the main results, we obtain a realization of trigonometric Lie algebras as what were called the covariant algebras of the affine Lie algebra A ˆ of Lie algebra A = gl ∞ ⊕ gl ∞ with respect to certain automorphism groups. We then prove that restricted modules of level ℓ for trigonometric Lie algebras naturally correspond to equivariant quasi modules for the affine vertex algebras V A ˆ ( ℓ , 0 ) (or V A ˆ ( 2 ℓ , 0 ) ). Furthermore, we determine irreducible modules and equivariant quasi modules for the simple vertex algebra L A ˆ ( ℓ , 0 ) with ℓ a positive integer. In particular, we prove...
全文获取路径: Elsevier  (合作)
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影响因子:1.373 (2012)

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关键词翻译
关键词翻译
  • affine 仿射的
  • vertex 
  • trigonometric 三角的
  • irreducible 不可约的
  • mover 移动钮
  • algebra 代数学
  • correspond 对应
  • realization 实现
  • respect 珍视
  • quasi