Hyperbolic Lie algebras and quasiregular cusps on Hilbert modular surfaces

DOI10.1007/BF01420431zbMath0396.17007OpenAlexW2014559693MaRDI QIDQ1253309

Robert V. Moody, James Lepowsky

Publication date: 1979

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163311

zbMATH Keywords

Hilbert Modular SurfaceHyperbolic Lie AlgebrasQuasiregular CuspsWeyl-Kac Identities

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Infinite-dimensional Lie (super)algebras (17B65) Arithmetic ground fields for surfaces or higher-dimensional varieties (14J20) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items

Dimension formula for graded Lie algebras and its applications, Weakly holomorphic modular forms and rank two hyperbolic Kac-Moody algebras, A Hyperbolic GCM Lie Algebra and the Fibonacci Numbers, Root systems of hyperbolic type, A lightcone embedding of the twin building of a hyperbolic Kac-Moody group, Rank 2 symmetric hyperbolic Kac-Moody algebras and Hilbert modular forms, Characters of rank two hyperbolic Lie algebras as functions at quasi- regular cusps, Root multiplicities of hyperbolic Kac-Moody algebras and Fourier coefficients of modular forms, Rank 2 symmetric hyperbolic Kac-Moody algebras, Kac-Moody Lie Algebras, Spectral Sequences, and the Witt Formula, Automorphic correction of the hyperbolic Kac-Moody algebra E10, Eisenstein series on rank 2 hyperbolic Kac-Moody groups, Involutive automorphisms and Iwasawa decomposition of some hyperbolic Kac–Moody algebras, Unnamed Item, EXISTENCE OF LATTICES IN KAC–MOODY GROUPS OVER FINITE FIELDS

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