TOWARD SYMMETRIC SPACES OF AFFINE KAC–MOODY TYPE

DOI10.1142/S0219887806001648zbMath1114.53047MaRDI QIDQ3426877

Ernst Heintze

Publication date: 13 March 2007

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

zbMATH Keywords

symmetric spacesinvolutionsisoparametric submanifoldsaffine Kac-Moody algebras and groupspolar and hyperpolar actions

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Differential geometry of symmetric spaces (53C35) Group structures and generalizations on infinite-dimensional manifolds (58B25)

Related Items (9)

Kac-Moody Geometry ⋮ Admissible positive systems of affine Kac-Moody Lie algebras: the twisted cases ⋮ A lightcone embedding of the twin building of a hyperbolic Kac-Moody group ⋮ Isoparametric submanifolds in Hilbert spaces and holonomy maps ⋮ Equifocal submanifolds in a symmetric space and the infinite dimensional geometry ⋮ Finite order automorphisms and real forms of affine Kac-Moody algebras in the smooth and algebraic category ⋮ Generalizations of parabolic Higgs bundles, real structures, and integrability ⋮ Admissible positive systems of affine non-twisted Kac-Moody Lie algebras ⋮ Austere and arid properties for PF submanifolds in Hilbert spaces

Cites Work

• Unnamed Item
• Isoparametric foliations and their buildings
• A classification of involutive automorphisms of an affine Kac-Moody Lie algebra
• Proper Fredholm submanifolds of Hilbert space
• Critical point theory and submanifold geometry
• Homogeneity of infinite dimensional isoparametric submanifolds
• Almost split forms of Kac-Moody algebras: classification and relative roots
• Polar actions on Hilbert space
• Isoparametric submanifolds and their Coxeter groups
• Examples of infinite dimensional isoparametric submanifolds
• A classification of hyperpolar and cohomogeneity one actions
• The inverse function theorem of Nash and Moser

This page was built for publication: TOWARD SYMMETRIC SPACES OF AFFINE KAC–MOODY TYPE