Multiloop algebras, iterated loop algebras and extended affine Lie algebras of nullity 2

DOI10.4171/JEMS/435zbMath1365.17013arXiv1002.2674MaRDI QIDQ2441484

Stephen Berman, Arturo Pianzola, Bruce N. Allison

Publication date: 24 March 2014

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.2674

zbMATH Keywords

loop algebrasextended affine Lie algebrasmultiloop algebras

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Infinite-dimensional Lie (super)algebras (17B65)

Related Items (9)

Twisted quantum affinizations and their vertex representations ⋮ Integrable modules for Lie tori ⋮ Drinfeld-type presentations of loop algebras ⋮ Vertex algebras and extended affine Lie algebras coordinated by rational quantum tori ⋮ Twisted toroidal Lie algebras and Moody-Rao-Yokonuma presentation ⋮ Torsors, reductive group schemes and extended affine Lie algebras ⋮ Fgc extended affine Lie algebras as fixed point subalgebras ⋮ Representations of twisted toroidal Lie algebras from twisted modules over vertex algebras ⋮ Twisted quantum affinizations and quantization of extended affine lie algebras

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