Establishes a connection between tempered modules and K-types in Lie groups, indicating new insights into their structure.
We extend the notion spin norm slightly to a real reductive Lie group G in the Harish-Chandra class.Let K be a maximal compact subgroup of G.In this setting, the spin norm of any K -type is still bounded from below by its lambda norm.We establish a bijection between irreducible tempered ( g, K )modules with nonzero Dirac cohomology and those K -types whose spin norm equals their lambda norm.
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Ding et al. (2016) studied this question.
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