Root multiplicities of the hyperbolic Kac-Moody Lie algebra \(HA_ 1^{(1)}\)

DOI10.1006/jabr.1993.1198zbMath0828.17027OpenAlexW1999583413WikidataQ115396284 ScholiaQ115396284MaRDI QIDQ1320139

Seok-Jin Kang

Publication date: 4 January 1996

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1993.1198

zbMATH Keywords

crystal basesroot multiplicitieshyperbolic Kac-Moody Lie algebra

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)

Related Items (12)

Structure and Root Multiplicities for Two Classes of Extended Hyperbolic Kac–Moody Algebras and for all Cases ⋮ Extended-Hyperbolic Kac–Moody Algebras Structure and Root Multiplicities ⋮ 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 multiplicities of hyperbolic Kac-Moody algebras and Fourier coefficients of modular forms ⋮ Root multiplicities of extended-hyperbolic kac-moody algebras ⋮ 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 ⋮ Involutive automorphisms and Iwasawa decomposition of some hyperbolic Kac–Moody algebras ⋮ Root Multiplicities of the Indefinite Kac–Moody AlgebraHD_n⁽¹⁾ ⋮ Root Supermultiplicities of Some Borcherds Superalgebras

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