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ON THE SEMICHARACTERISTICS OF HOMOGENEOUS SPACES
The Quarterly Journal of Mathematics, 1985This paper analyzes the Kervaire semicharacteristic of homogeneous spaces G/H, \(k(G/H)=\dim H^{2*}(G/H; {\mathbb{Z}}_ 2) (mod 2)\). Particular attention is paid to the case \(G=SU(n)\), and for example, one result is the following Theorem: Let H be a connected simple Lie subgroup of SU(n) with dim(SU(n)/H) odd.
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Distributions on homogeneous spaces
Journal of Soviet Mathematics, 1980A survey of results and ideas in the general analytic treatment of the theory of distributions on homogeneous spaces is presented.
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On the signature of homogeneous spaces
Geometriae Dedicata, 1992The author calculates the signatures of real and quaternionic Grassmannians and all homogeneous spaces of compact exceptional Lie groups. Let \(G\), \(H\) be compact connected Lie groups such that \(H\subset G\) and \(\text{rank}(G)=\text{rank}(H)\). Relative to a common maximal torus \(T\subset H\subset G\) one denotes by \(\Sigma\) resp.
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Embeddings of Spherical Homogeneous Spaces
Acta Mathematica Sinica. English series, 2018J. Gandini
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Abstract Plancherel (trace) formulas over homogeneous spaces of compact groups
, 2017A. G. Farashahi
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On the fundamental equations of homogeneous Finsler spaces
, 2015Libing Huang
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