Abstract
Vogan conjectured that the parabolic induction of orbit data is independent of the choice of the parabolic subgroup. In this paper we first give the parabolic induction of orbit covers, whose relationship with geometric orbit datum is also induced. Hence we show a geometric interpretation of orbit data and finally prove the conjugation for geometric orbit datum using geometric method.
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Liang, K., Hou, Z. Geometric orbit datum and orbit covers. Sci. China Ser. A-Math. 44, 1413–1419 (2001). https://doi.org/10.1007/BF02877069
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DOI: https://doi.org/10.1007/BF02877069