Purely imaginary roots of kac-moody algebras

DOI10.1080/00927879608825591zbMath0910.17011OpenAlexW2091467599MaRDI QIDQ4874708

A. Uma Maheswari, N. Sthanumoorthy

Publication date: 20 April 1999

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

Full work available at URL: https://doi.org/10.1080/00927879608825591

zbMATH Keywords

Kac-Moody algebraspurely imaginary rootsextended hyperbolic Kac-Moody algebras

Mathematics Subject Classification ID

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

Related Items

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 ⋮ Dimension formula for graded Lie algebras and its applications ⋮ SPECIAL IMAGINARY ROOTS OF GENERALIZED KAC-MOODY ALGEBRAS ⋮ Complete Classifications of Generalized Kac–Moody Algebras Possessing Special Imaginary Roots and Strictly Imaginary Property ⋮ Root multiplicities of extended-hyperbolic kac-moody algebras ⋮ Complete Classification of BKM Lie Superalgebras Possessing Special Imaginary Roots ⋮ A Note on Purely Imaginary Roots of Generalized Kac–Moody Algebras ⋮ Root Supermultiplicities of Some Borcherds Superalgebras ⋮ Strictly Imaginary Roots and Purely Imaginary Roots of BKM Lie Superalgebras

Cites Work

• Root systems of hyperbolic type
• Infinite-dimensional algebras, Dedekind's \(\eta\)-function, classical Möbius function and the very strange formula
• Strictly imaginary roots of Kac-Moody algebras
• Imaginary roots of a Kac-Moody Lie algebra whose reflections preserve root multiplicities
• A new class of Lie algebras

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