Vertex representations for toroidal Lie algebra of type \(G_2\)

DOI10.1016/J.JPAA.2004.11.001zbMath1160.17311OpenAlexW2006343003WikidataQ115345640 ScholiaQ115345640MaRDI QIDQ1779474

Dong Liu, Hu, Naihong

Publication date: 1 June 2005

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2004.11.001

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Vertex operators; vertex operator algebras and related structures (17B69) Infinite-dimensional Lie (super)algebras (17B65)

Related Items (7)

Representations of the affine-Virasoro algebra of type \(A_1\) ⋮ Unnamed Item ⋮ On the toroidal Leibniz algebras ⋮ Vertex operator representations of type \(C_l^{(1)}\) and product-sum identities ⋮ Fermionic realization of toroidal Lie algebras of classical types ⋮ Two-parameter quantum affine algebra of type G2(1), Drinfeld realization and vertex representation ⋮ Vertex representations of toroidal special linear Lie superalgebras

Cites Work

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• Vertex operators arising from the homogeneous realization for \(\widehat{\text{gl}}_N\)
• Irreducible representations for toroidal Lie algebras
• Vertex operators of G₂⁽¹⁾and B_l⁽¹⁾
• Vertex operator representations for toroidal lie algebra of typeB_l
• Principal vertex operator representations for toroidal Lie algebras
• Vertex Operator Construction for the Toroidal Lie Algebra of TypeF₄
• Vertex representations for the \(\nu +1\)-toroidal Lie algebra of type \(B_l\).

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