A Note on Purely Imaginary Roots of Generalized Kac–Moody Algebras

DOI10.1081/AGB-120023968zbMath1045.17013MaRDI QIDQ4429456

P. L. Lilly, N. Sthanumoorthy

Publication date: 25 September 2003

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

zbMATH Keywords

generalized Kac-Moody algebraspurely imaginary rootsnon-hyperbolic generalized Kac-Moody algebras

Mathematics Subject Classification ID

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

Related Items (4)

Complete Classifications of Generalized Kac–Moody Algebras Possessing Special Imaginary Roots and Strictly Imaginary Property ⋮ 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
• 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
• 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
• Unnamed Item

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