## 摘要

This paper provides a comparison between the K-structure of unipotent representations and regular sections of bundles on nilpotent orbits for complex groups of type D. Precisely, let G_{0} = Spin(2n,c[double-struck]) be the Spin complex group as a real group, and let K ≅ G_{0} be the complexification of the maximal compact subgroup of G_{0}. We compute K-spectra of the regular functions on some small nilpotent orbits O transforming according to characters ψ of C_{K}(O) trivial on the connected component of the identity C_{K}(O)^{0}. We then match them with the K-types of the genuine (i.e., representations which do not factor to SO(2n,c[double-struck])) unipotent representations attached to O.

原文 | ???core.languages.en_GB??? |
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頁（從 - 到） | 202-222 |

頁數 | 21 |

期刊 | Representation Theory |

卷 | 22 |

發行號 | 7 |

DOIs | |

出版狀態 | 已出版 - 2018 |