Rank 2 symmetric hyperbolic Kac-Moody algebras and Hilbert modular forms

DOI10.1016/j.jalgebra.2014.03.003zbMath1336.11035arXiv1209.1860OpenAlexW2963592483MaRDI QIDQ402663

Kyu-Hwan Lee, Henry H. Kim

Publication date: 28 August 2014

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

Full work available at URL: https://arxiv.org/abs/1209.1860

zbMATH Keywords

Hilbert modular formsgeneralized Kac-Moody algebrasBorcherds productshyperbolic Kac-Moody algebrasautomorphic correction

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) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (7)

Weakly holomorphic modular forms and rank two hyperbolic Kac-Moody algebras ⋮ Commutator relations and structure constants for rank 2 Kac-Moody algebras ⋮ Root multiplicities of hyperbolic Kac-Moody algebras and Fourier coefficients of modular forms ⋮ Unnamed Item ⋮ Automorphic correction of the hyperbolic Kac-Moody algebra E10 ⋮ Half-integral weight modular forms and modular forms for Weil representations ⋮ The diagonalization map as submersion, the cubic equation as immersion and Euclidean polynomials

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