Structure of some nonstandard modules for \(C_ n^{(1)}\)

DOI10.1016/0021-8693(89)90200-7zbMath0668.17013OpenAlexW1985309894MaRDI QIDQ1118021

Chongying Dong

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-8693(89)90200-7

zbMATH Keywords

basisaffine Lie algebraHeisenberg algebrasirreducible highest weightnonstandard modulesrefined Z-operatorsvacuum spaces

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Infinite-dimensional Lie (super)algebras (17B65)

Cites Work

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• Structure of certain standard modules for \(A_ n^{(1)}\) and the Rogers-Ramanujan identities
• Structure of some standard modules for \(C_ n^{(1)}\)
• The structure of standard modules. I: Universal algebras and the Rogers- Ramanujan identities
• The structure of standard modules. II: The case \(A_ 1^{(1)}\), principal gradation
• Classical affine algebras
• A Lie theoretic interpretation and proof of the Rogers-Ramanujan identities
• Construction of the affine Lie algebra \(A^{(1)}_1\)
• Affine root systems and Dedekind's \(\eta\)-function
• A new family of algebras underlying the Rogers-Ramanujan identities and generalizations

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