Kac-Moody Geometry

DOI10.1007/978-3-642-22842-1_3zbMath1248.53041arXiv1003.4435OpenAlexW1583766849MaRDI QIDQ2897240

Walter Freyn

Publication date: 10 July 2012

Published in: Global Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.4435

zbMATH Keywords

isoparametric submanifoldtwin buildingaffine Kac-Moody grouppolar actionsspherical buildingKac-Moody symmetric spacesspherical Weyl

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Differential geometry of symmetric spaces (53C35) Kac-Moody groups (20G44)

Related Items (2)

Orthogonal symmetric affine Kac-Moody algebras ⋮ A lightcone embedding of the twin building of a hyperbolic Kac-Moody group

Cites Work

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• Isoparametric foliations and their buildings
• Automorphic forms and Lie superalgebras
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• Towards a Lie theory of locally convex groups
• Proper Fredholm submanifolds of Hilbert space
• Critical point theory and submanifold geometry
• A characterization of twin buildings by twin apartments
• Homogeneity of infinite dimensional isoparametric submanifolds
• \(s\)-representations for involutions on affine Kac-Moody algebras are polar
• Lattice chain models for affine buildings of classical type.
• Kac-Moody groups, their flag varieties and representation theory
• Buildings and their applications in geometry and topology
• Les espaces symétriques noncompacts
• TOWARD SYMMETRIC SPACES OF AFFINE KAC–MOODY TYPE
• Buildings
• The inverse function theorem of Nash and Moser
• Finite order automorphisms and real forms of affine Kac-Moody algebras in the smooth and algebraic category
• Euclidean Lie Algebras
• SIMPLE IRREDUCIBLE GRADED LIE ALGEBRAS OF FINITE GROWTH

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