Graded dimensions of principal subspaces and modular Andrews–Gordon-type series

DOI10.1142/S0219199713500508zbMath1295.11035MaRDI QIDQ2876622

Susie Kimport, Kathrin Bringmann, Corina Calinescu, Amanda Folsom

Publication date: 19 August 2014

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

zbMATH Keywords

modular formsRogers-Ramanujan identitiesWronskiansMacDonald identities

Mathematics Subject Classification ID

Vertex operators; vertex operator algebras and related structures (17B69) Holomorphic modular forms of integral weight (11F11) Dedekind eta function, Dedekind sums (11F20) Basic hypergeometric functions associated with root systems (33D67) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items (8)

Further 𝑞-series identities and conjectures relating false theta functions and characters ⋮ Vertex-algebraic structure of principal subspaces of basic \(D_4^{(3)}\)-modules ⋮ Principal subspaces of higher-level standard $\widehat{\mathfrak{sl}(n)}$-modules ⋮ Vertex-algebraic structure of principal subspaces of the basic modules for twisted affine Lie algebras of type \(A_{2n-1}^{(2)}\), \(D_n^{(2)}\), \(E_6^{(2)}\) ⋮ Vertex algebraic structure of principal subspaces of basic \(A_{2n}^{(2)}\)-modules ⋮ Modularity of Nahm sums for the tadpole diagram ⋮ A framework of Rogers-Ramanujan identities and their arithmetic properties ⋮ Bounded Littlewood identities

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