Orbispaces, orthogonal spaces, and the universal compact Lie group
Sign Up to like & getrecommendations! Published in 2019 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-019-02265-1
Abstract: This paper identifies the homotopy theories of topological stacks and orbispaces with unstable global homotopy theory. At the same time, we provide a new perspective by interpreting it as the homotopy theory of ‘spaces with… read more here.
Keywords: lie group; universal compact; homotopy; compact lie ... See more keywords
Geodesic orbit spaces of compact Lie groups of rank two
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DOI: 10.1007/s10711-021-00668-1
Abstract: Geodesic orbit spaces are those Riemannian homogeneous spaces (G/H,g) whose geodesics are orbits of one-parameter subgroups of G. We classify the simply connected geodesic orbit spaces where G is a compact Lie group of rank… read more here.
Keywords: spaces compact; compact lie; orbit spaces; rank two ... See more keywords
Equivariant twisted Real K-theory of compact Lie groups
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2017.11.013
Abstract: Abstract Let G be a compact, connected, and simply-connected Lie group viewed as a G -space via the conjugation action. The Freed–Hopkins–Teleman Theorem (FHT) asserts a canonical link between the equivariant twisted K -homology of… read more here.
Keywords: real theory; compact lie; theory compact; lie groups ... See more keywords
Quasi-periodic solutions to nonlinear beam equations on compact Lie groups with a multiplicative potential
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2018.02.005
Abstract: The goal of this work is to study the existence of quasi-periodic solutions in time to nonlinear beam equations with a multiplicative potential. The nonlinearities are required to only finitely differentiable and the frequency is… read more here.
Keywords: multiplicative potential; nonlinear beam; periodic solutions; beam equations ... See more keywords
Compact Lie group action with the continuous Rokhlin property
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DOI: 10.1016/j.jfa.2016.10.002
Abstract: Abstract In this paper, we study the continuous Rokhlin property of C ⁎ -dynamical systems using techniques of equivariant KK-theory and quantum group theory. In particular, we determine the KK-equivalence class and give a classification… read more here.
Keywords: lie group; rokhlin property; group; compact lie ... See more keywords
Normalizers of chains of discrete p-toral subgroups in compact Lie groups
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DOI: 10.1016/j.topol.2022.108101
Abstract: In this paper we study the normalizer decomposition of a compact Lie group G using the information of the fusion system F of G on a maximal discrete p -toral subgroup. We prove that there… read more here.
Keywords: subgroups compact; discrete toral; chains discrete; toral subgroups ... See more keywords
Twisted equivariant K-theory of compact Lie group actions with maximal rank isotropy
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DOI: 10.1063/1.5036647
Abstract: We consider twisted equivariant K-theory for actions of a compact Lie group G on a space X where all the isotropy subgroups are connected and of maximal rank. We show that the associated rational spectral… read more here.
Keywords: lie group; maximal rank; group; compact lie ... See more keywords
Macdonald Formula, Ricci Curvature, and Concentration Locus for Classical Compact Lie Groups
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DOI: 10.3390/axioms11060245
Abstract: We consider the phenomenon of concentration of measures, which is restricted to the case of families of compact connected Lie groups. While in the literature, powerful general results regarding the existence of concentration and its… read more here.
Keywords: ricci curvature; compact lie; concentration; lie groups ... See more keywords