Harmonic spinors on homogeneous spaces
نویسندگان
چکیده
منابع مشابه
Harmonic Spinors on Homogeneous Spaces
Let G be a compact, semi-simple Lie group and H a maximal rank reductive subgroup. The irreducible representations of G can be constructed as spaces of harmonic spinors with respect to a Dirac operator on the homogeneous space G/H twisted by bundles associated to the irreducible, possibly projective, representations of H. Here, we give a quick proof of this result, computing the index and kerne...
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Let $G$ be a locally compact group, $H$ be a compact subgroup of $G$ and $varpi$ be a representation of the homogeneous space $G/H$ on a Hilbert space $mathcal H$. For $psi in L^p(G/H), 1leq p leqinfty$, and an admissible wavelet $zeta$ for $varpi$, we define the localization operator $L_{psi,zeta} $ on $mathcal H$ and we show that it is a bounded operator. Moreover, we prove that the localizat...
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ژورنال
عنوان ژورنال: Representation Theory of the American Mathematical Society
سال: 2000
ISSN: 1088-4165
DOI: 10.1090/s1088-4165-00-00102-3