Rank 2 symmetric hyperbolic Kac-Moody algebras

DOI10.1017/S0027763000005419zbMath0846.17025OpenAlexW1484808906MaRDI QIDQ4882764

Seok-Jin Kang, Duncan J. Melville

Publication date: 25 September 1996

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000005419

zbMATH Keywords

algorithmroot systemroot multiplicitiesintegral points on certain hyperbolasrank 2 symmetric hyperbolic 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) Infinite-dimensional Lie (super)algebras (17B65)

Related Items

Dimension formula for graded Lie algebras and its applications ⋮ Weakly holomorphic modular forms and rank two hyperbolic Kac-Moody algebras ⋮ On the structure of Kac–Moody algebras ⋮ A quiver variety approach to root multiplicities ⋮ A lightcone embedding of the twin building of a hyperbolic Kac-Moody group ⋮ Rank 2 symmetric hyperbolic Kac-Moody algebras and Hilbert modular forms ⋮ Rigid reflections of rank 3 Coxeter groups and reduced roots of rank 2 Kac-Moody algebras ⋮ Symmetric Fibonaccian distributive lattices and representations of the special linear Lie algebras ⋮ Character expansion of Kac-Moody correction factors ⋮ Automorphic correction of the hyperbolic Kac-Moody algebra E10 ⋮ Eisenstein series on rank 2 hyperbolic Kac-Moody groups ⋮ Around the Lie correspondence for complete Kac-Moody groups and Gabber-Kac simplicity

Cites Work

• Unnamed Item
• Root systems of hyperbolic type
• A hyperbolic Kac-Moody algebra and the theory of Siegel modular forms of genus 2
• Kostant's formula for Kac-Moody Lie algebras
• Lie algebra homology and the Macdonald-Kac formulas
• Hyperbolic Lie algebras and quasiregular cusps on Hilbert modular surfaces
• Root multiplicities of Kac-Moody algebras
• Root multiplicities of the Kac-Moody algebras \(HA_ n^{(1)}\)
• Graded Lie algebras of Kac-Moody type
• Representations of hyperbolic Kac-Moody algebras
• On defining relations of certain infinite-dimensional Lie algebras

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