实约化群的特殊无有效Arthur包

arXiv: Representation Theory Pub Date : 2018-11-15 DOI:10.13016/QMF9-NTWP

J. Fernandes

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引用次数: 0

摘要

在许多情况下，我们计算了实约化群的特殊单有效Arthur包。我们列出了导致不完整答案的情况，并且在这些情况下，提供了一组合适的表示，可以导致对特殊Arthur数据包的完整描述。在实现这一目标的过程中，我们对给定的偶复幂零轨道的θ形式进行了分类，并找到了计算不可约群表示的相关变体的方法。

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Special Unipotent Arthur Packets for Real Reductive Groups

We compute special unipotent Arthur packets for real reductive groups in many cases. We list the cases that lead to incomplete answers, and in those cases, provide a suitable set of representations that could lead to a complete description of the special Arthur packet. In the process of achieving this goal we classify theta forms of a given even complex nilpotent orbit, and find methods to compute the associated varieties of irreducible group representations.

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arXiv: Representation Theory

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