Weakly holomorphic modular forms and rank two hyperbolic Kac-Moody algebras
DOI10.1090/S0002-9947-2015-06438-1zbMath1336.11036arXiv1309.5095MaRDI QIDQ3450287
Henry H. Kim, Kyu-Hwan Lee, Yichao Zhang
Publication date: 3 November 2015
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1309.5095
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 (4)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Rank 2 symmetric hyperbolic Kac-Moody algebras and Hilbert modular forms
- Infinite-dimensional Lie algebras, theta functions and modular forms
- Modular and conformal invariance constraints in representation theory of affine algebras
- Automorphic forms with singularities on Grassmannians
- A hyperbolic Kac-Moody algebra and the theory of Siegel modular forms of genus 2
- Hyperbolic Lie algebras and quasiregular cusps on Hilbert modular surfaces
- On Borcherds products associated with lattices of prime discriminant
- Monstrous moonshine and monstrous Lie superalgebras
- Zagier duality and integrality of Fourier coefficients for weakly holomorphic modular forms
- Root multiplicities of hyperbolic Kac-Moody algebras and Fourier coefficients of modular forms
- Affine root systems and Dedekind's \(\eta\)-function
- Hilbert Modular Forms and Their Applications
- Siegel automorphic form corrections of some Lorentzian Kac-Moody Lie algebras
- AUTOMORPHIC FORMS AND LORENTZIAN KAC–MOODY ALGEBRAS PART I
- AUTOMORPHIC FORMS AND LORENTZIAN KAC–MOODY ALGEBRAS PART II
- Igusa modular forms and 'the simplest' Lorentzian Kac-Moody algebras
- On classification of Lorentzian Kac-Moody algebras
- Rank 2 symmetric hyperbolic Kac-Moody algebras
- Automorphic correction of the hyperbolic Kac-Moody algebra E10
- Multiplicative 𝜂-quotients
This page was built for publication: Weakly holomorphic modular forms and rank two hyperbolic Kac-Moody algebras