Kac-Wakimoto characters and universal mock theta functions

DOI10.1090/S0002-9947-2010-05181-5zbMath1261.11040MaRDI QIDQ3082363

Amanda Folsom

Publication date: 10 March 2011

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

zbMATH Keywords

mock theta functionsKac-Wakimoto characters

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Relationship to Lie algebras and finite simple groups (11F22) Forms of half-integer weight; nonholomorphic modular forms (11F37) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items

On the Fourier coefficients of negative index meromorphic Jacobi forms ⋮ Negative index Jacobi forms and quantum modular forms ⋮ Generalized Frobenius partitions, Motzkin paths, and Jacobi forms ⋮ Families of identities involving universal mock theta functions ⋮ NOTE ON SOME CHARACTER FORMULAS ⋮ On the asymptotic behavior of Kac-Wakimoto characters ⋮ Representations of affine superalgebras and mock theta functions ⋮ Quasimodular forms and \(s\ell (m|m)^\wedge\) characters ⋮ The mock modular data of a family of superalgebras ⋮ Dualities of corner configurations and supersymmetric indices ⋮ Kac-Wakimoto characters and non-holomorphic Jacobi forms ⋮ Asymptotics of generalized Galois numbers via affine Kac-Moody algebras

Cites Work

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• Monstrous Moonshine
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• Lie algebras and classical partition identities
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