Complete Classifications of Generalized Kac–Moody Algebras Possessing Special Imaginary Roots and Strictly Imaginary Property

DOI10.1080/00927870701326106zbMath1148.17016OpenAlexW2107691804MaRDI QIDQ5308800

P. L. Lilly, N. Sthanumoorthy

Publication date: 8 October 2007

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

Full work available at URL: https://doi.org/10.1080/00927870701326106

zbMATH Keywords

generalized Kac-Moody algebrasspecial imaginary rootsstricitly imaginary

Mathematics Subject Classification ID

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

Related Items (3)

Complete Classification of BKM Lie Superalgebras Possessing Special Imaginary Roots ⋮ Root Supermultiplicities of Some Borcherds Superalgebras ⋮ Strictly Imaginary Roots and Purely Imaginary Roots of BKM Lie Superalgebras

Cites Work

• Generalized Kac-Moody algebras
• Infinite-dimensional algebras, Dedekind's \(\eta\)-function, classical Möbius function and the very strange formula
• Strictly imaginary roots of Kac-Moody algebras
• Some automorphisms of generalized Kac-Moody algebras
• Imaginary roots of a Kac-Moody Lie algebra whose reflections preserve root multiplicities
• REALIZATION OF BORCHERDS ALGEBRAS
• Dimension formula for graded Lie algebras and its applications
• A Note on Purely Imaginary Roots of Generalized Kac–Moody Algebras
• SPECIAL IMAGINARY ROOTS OF GENERALIZED KAC-MOODY ALGEBRAS
• Purely imaginary roots of kac-moody algebras
• Kazhdan-Lusztig Conjecture for Generalized Kac-Moody Algebras. II: Proof of the Conjecture

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