Graded Lie algebras of Kac-Moody type

DOI10.1006/aima.1993.1005zbMath0854.17026OpenAlexW2082184733MaRDI QIDQ1803589

Seok-Jin Kang, Georgia M. Benkart, Kailash C. Misra

Publication date: 29 June 1993

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aima.1993.1005

zbMATH Keywords

Kac-Moody Lie algebraimaginary rootsroot multiplicitiesgraded Lie algebras of Kac-Moody typenon-affine Kac-Moody algebrasrank two hyperbolic Lie algebrassymmetrizable generalized Cartan matrix

Mathematics Subject Classification ID

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

Related Items (22)

Structure and Root Multiplicities for Two Classes of Extended Hyperbolic Kac–Moody Algebras and for all Cases ⋮ The recursive dimension formula for graded lie algebras and its applications ⋮ Extended-Hyperbolic Kac–Moody Algebras Structure and Root Multiplicities ⋮ ON ROOT MULTIPLICITIES OF $H A_n^{(1)}$ ⋮ Root multiplicities of Kac-Moody algebras ⋮ Dimension formula for graded Lie algebras and its applications ⋮ ROOT MULTIPLICITIES OF THE INDEFINITE KAC-MOODY LIE ALGEBRAS AND ⋮ Root systems of supcr-affinc kac—moody algebras ⋮ The imaginary root system of kac-moody algebraIA_N-1(a)^* ⋮ Indexes of the weyl groups in the orthogonal groups of some kac-moody algebras ⋮ Rank 2 symmetric hyperbolic Kac-Moody algebras ⋮ Kac-Moody Lie Algebras, Spectral Sequences, and the Witt Formula ⋮ Root multiplicities of extended-hyperbolic kac-moody algebras ⋮ Majid conjecture: quantum Kac-Moody algebras version ⋮ Construction of Kac–Moody superalgebras as minimal graded Lie superalgebras and weight multiplicities for Kac–Moody superalgebras ⋮ A STUDY ON THE HOMOLOGY MODULES AND THE STRUCTURE OF MAXIMAL IDEAL OF SUPER HYPERBOLIC KAC-MOODY ALGEBRAS SH_{n}^{(3)}, n=96,97,98 ⋮ Root Multiplicities of the Indefinite Kac–Moody Algebras of Symplectic Type ⋮ Root Multiplicities of the Indefinite Kac–Moody AlgebraHD_n⁽¹⁾ ⋮ Unnamed Item ⋮ Graded Lie superalgebras and the superdimension formula ⋮ Unnamed Item ⋮ Generalized Kac-Moody algebras and the modular function \(j\)

This page was built for publication: Graded Lie algebras of Kac-Moody type