Structure of the level one standard modules for the affine Lie algebras 𝐵_{𝑙}⁽¹⁾,𝐹⁽¹⁾₄ and 𝐺⁽¹⁾₂

DOI10.1090/memo/0362zbMath0609.17005OpenAlexW2040035605MaRDI QIDQ3749210

Marly Mandia

Publication date: 1987

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/memo/0362

zbMATH Keywords

Rogers-Ramanujan identitiesClifford algebrastandard moduleslevel one standard modulesbasic modulegeneralized anticommutation relationsrepresentation of affine Kac-Moody algebras

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) Partition identities; identities of Rogers-Ramanujan type (11P84)

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