Basic representation of the affine superalgebra \(A^{(2)}(0,1)\)

DOI10.1006/JABR.1996.6536zbMath0927.17015OpenAlexW1999798834MaRDI QIDQ1284107

George Golitzin

Publication date: 15 December 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1996.6536

zbMATH Keywords

highest weight modulesvertex operatorsaffine Lie superalgebrasrepresentations of Lie superalgebras

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)

Related Items (1)

Specialized characters of affine superalgebras

Cites Work

• Unnamed Item
• The structure of standard modules. I: Universal algebras and the Rogers- Ramanujan identities
• 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
• Construction of the affine Lie algebra \(A^{(1)}_1\)
• Infinite-dimensional algebras, Dedekind's \(\eta\)-function, classical Möbius function and the very strange formula
• Lie superalgebras

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