Complete Classification of BKM Lie Superalgebras Possessing Special Imaginary Roots

DOI10.1080/00927872.2011.631163zbMath1267.17029OpenAlexW2029613278MaRDI QIDQ4912738

Kandasamy Priyadharsini, N. Sthanumoorthy

Publication date: 5 April 2013

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

Full work available at URL: https://doi.org/10.1080/00927872.2011.631163

zbMATH Keywords

Borcherds Kac-Moody Lie superalgebras

Mathematics Subject Classification ID

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

Cites Work

• Automorphic forms and Lie superalgebras
• 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
• A generalization of Borcherds algebra and denominator formula
• REALIZATION OF BORCHERDS ALGEBRAS
• Strictly Imaginary Roots and Purely Imaginary Roots of BKM Lie Superalgebras
• 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
• Complete Classifications of Generalized Kac–Moody Algebras Possessing Special Imaginary Roots and Strictly Imaginary Property
• Lie superalgebras

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