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

DOI10.1080/00927872.2012.660262zbMath1307.17028OpenAlexW1973840732MaRDI QIDQ2842321

Rui Lv, Youjun Tan

Publication date: 13 August 2013

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2012.660262

zbMATH Keywords

rootsWeyl groupKac-Moody algebrasgeneralized intersection matrix algebras

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Infinite-dimensional Lie (super)algebras (17B65) Root systems (17B22)

Related Items (3)

On a class of generalized Kac–Moody algebras arising from 2-fold affinizations ⋮ Some gim algebras and the associated indefinite Kac-Moody algebras ⋮ Unnamed Item

Cites Work

• Classification of irreducible integrable representations for the full toroidal Lie algebras
• Toroidal Lie algebras and vertex representations
• Lie algebras graded by finite root systems and the intersection matrix algebras of Slodowy
• An extension of the Korteweg-de Vries hierarchy arising from a representation of a toroidal Lie algebra
• Vertex representations for \(n\)-toroidal Lie algebras and a generalization of the Virasoro algebra
• Enveloping algebras and representations of toroidal Lie algebras
• Classification of irreducible integrable modules for toroidal Lie algebras with finite dimensional weight spaces
• Lie algebras graded by finite root systems and intersection matrix algebras
• On generators and relations for certain involutory subalgebras of kac-moody lie algebras^∗

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