Lie Algebra Multiplicities

DOI10.2307/2042993zbMath0418.17012OpenAlexW4239359872MaRDI QIDQ3208848

Stephen Berman, Robert V. Moody

Publication date: 1979

Full work available at URL: https://doi.org/10.2307/2042993

zbMATH Keywords

universal enveloping algebrasKac-Moody Lie algebraCartan matrix Lie algebrasroot space multiplicities

Mathematics Subject Classification ID

Infinite-dimensional Lie (super)algebras (17B65)

Related Items (11)

Root multiplicities of Kac-Moody algebras ⋮ Dimension formula for graded Lie algebras and its applications ⋮ On the structure of Kac–Moody algebras ⋮ A Hyperbolic GCM Lie Algebra and the Fibonacci Numbers ⋮ A quiver variety approach to root multiplicities ⋮ Secondary terms in the asymptotics of moments of \(L\)-functions ⋮ Correction factors for Kac-Moody groups and \(t\)-deformed root multiplicities ⋮ A hyperbolic Kac-Moody algebra and the theory of Siegel modular forms of genus 2 ⋮ Kac-Moody Lie Algebras, Spectral Sequences, and the Witt Formula ⋮ Hyperbolic Lie algebras and quasiregular cusps on Hilbert modular surfaces ⋮ Graded Lie superalgebras and the superdimension formula

Cites Work

• Root systems of hyperbolic type
• Lie algebra homology and the Macdonald-Kac formulas
• Macdonald-type identities
• A new class of Lie algebras
• Affine root systems and Dedekind's \(\eta\)-function
• Isomorphisms and Automorphisms of Universal Heffalump Lie Algebras
• SIMPLE IRREDUCIBLE GRADED LIE ALGEBRAS OF FINITE GROWTH
• Unnamed Item

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