Construction of Kac–Moody superalgebras as minimal graded Lie superalgebras and weight multiplicities for Kac–Moody superalgebras

DOI10.1063/1.533388zbMath0970.17016OpenAlexW2089572790MaRDI QIDQ2738093

Jeong-Ah Kim, Dong-Uy Shin

Publication date: 30 August 2001

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.533388

zbMATH Keywords

Lie superalgebraweight multiplicityhighest weight moduleKac-Moody superalgebra

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Infinite-dimensional Lie (super)algebras (17B65) Graded Lie (super)algebras (17B70)

Related Items (1)

A study on free roots of Borcherds-Kac-Moody Lie superalgebras

Cites Work

• On new multiplicity formulas of weights of representations for the classical groups
• A hyperbolic Kac-Moody algebra and the theory of Siegel modular forms of genus 2
• Infinite-dimensional algebras, Dedekind's \(\eta\)-function, classical Möbius function and the very strange formula
• Root multiplicities of Kac-Moody algebras
• Graded Lie algebras of Kac-Moody type
• The complete root systems of the affine Kac–Moody superalgebras
• The evaluation of weight multiplicities using characters and S-function
• Standard Young tableaux and weight multiplicities of the classical Lie groups
• On defining relations of certain infinite-dimensional Lie algebras
• Rank dependency of weight multiplicities for simple Lie groups
• SIMPLE IRREDUCIBLE GRADED LIE ALGEBRAS OF FINITE GROWTH
• Lie superalgebras

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