Representation of the affine superalgebras \(A^{(4)}(0,2\ell)\), \(A^{(2)}(0,2\ell -1)\) and their subalgebras \(A_{2\ell}^{(2)}\), \(A^{(2)}_{2\ell -1}\) by vertex operators

DOI10.1016/0021-8693(88)90250-5zbMath0652.17013OpenAlexW2023130539MaRDI QIDQ1106932

George Golitzin

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0021-8693(88)90250-5

zbMATH Keywords

Kac-Moody algebrashighest weightvertex operatorsaffine superalgebrasstandard modules of level one

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Superalgebras (17A70) Graded Lie (super)algebras (17B70)

Related Items (5)

The complete root systems of the affine Kac–Moody superalgebras ⋮ Realization of a class of affine Lie superalgebras ⋮ Some simple representations of the affine Lie superalgebra A(1)(1,0) ⋮ Basic representation of the affine superalgebra \(A^{(2)}(0,1)\) ⋮ Specialized characters of affine superalgebras

Cites Work

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• The structure of standard modules. I: Universal algebras and the Rogers- Ramanujan identities
• Classical affine algebras
• Infinite-dimensional algebras, Dedekind's \(\eta\)-function, classical Möbius function and the very strange formula
• Specialized characters of affine superalgebras
• Lie superalgebras

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