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A Serre-type theorem for the elliptic Lie algebras with rank \(\geq 2\)

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Publication:1885497
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DOI10.2977/prims/1145475810zbMath1142.17308OpenAlexW2014144775MaRDI QIDQ1885497

Hiroyuki Yamane

Publication date: 5 November 2004

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1145475810



Mathematics Subject Classification ID

Infinite-dimensional Lie (super)algebras (17B65) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65)


Related Items

A realization of elliptic Lie algebras of type \(F_4^{(2,2)}\) by the Ringel-Hall approach ⋮ A Generalization of Extended Affine Lie Algebras



Cites Work

  • Unnamed Item
  • Extended affine root systems. I: Coxeter transformations
  • Toroidal braid group action and an automorphism of toroidal algebra \(U_q(sl_{n+1,\text{tor}})\) \((n\geqq 2)\)
  • Extended affine root systems. III: Elliptic Weyl groups
  • Extended affine root system. IV: Simply-laced elliptic Lie algebras
  • Coordinate algebras of extended affine Lie algebras of type \(A_1\)
  • Quantum toroidal algebra Uq(sl2,tor) and R matrices
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