Imaginary roots of a Kac-Moody Lie algebra whose reflections preserve root multiplicities

DOI10.1006/jabr.1993.1133zbMath0795.17031OpenAlexW2038114624WikidataQ115396301 ScholiaQ115396301MaRDI QIDQ1801905

Curtis D. Bennett

Publication date: 25 September 1994

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

Full work available at URL: https://doi.org/10.1006/jabr.1993.1133

zbMATH Keywords

Coxeter groupsymmetrizable Kac-Moody Lie algebrasgeneralized spherical buildingsinfinite dimensional Kac-Moody Lie algebrasspecial imaginary roots

Mathematics Subject Classification ID

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

Related Items (7)

SPECIAL IMAGINARY ROOTS OF GENERALIZED KAC-MOODY ALGEBRAS ⋮ Complete Classifications of Generalized Kac–Moody Algebras Possessing Special Imaginary Roots and Strictly Imaginary Property ⋮ Purely imaginary roots of kac-moody algebras ⋮ Complete Classification of BKM Lie Superalgebras Possessing Special Imaginary Roots ⋮ A Note on Purely Imaginary Roots of Generalized Kac–Moody Algebras ⋮ Strictly Imaginary Roots and Purely Imaginary Roots of BKM Lie Superalgebras ⋮ Exponentiation of infinite dimensional Z-graded lie algebras

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