Whittaker unitary dual of affine graded Hecke algebras of type E
Whittaker unitary dual of affine graded Hecke algebras of type E
复制标题
E 型仿射分级 Hecke 代数的 Whittaker 酉对偶
DOI：
10.1112/s0010437x09004230
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发表时间：
2007
影响因子：
1.8
通讯作者：
D. Ciubotaru
中科院分区：
文献类型：
--
作者：
D. Barbasch;D. Ciubotaru
本文给出了E型仿射分次Hecke代数的Whittaker酉对偶的分类。通过Iwahori-Matsumoto对合，这也等价于E型球面酉对偶的分类。结合Barbasch和Moy（D. Barbasch和A.李文，等.经典群的酉球面谱.应用数学学报，1996，（4）：3-37. Barbasch，The spherical unitary spectrum of split classical真实的的and p-adic groups，Preprint（2006），math/0609828）and Ciubotaru（D. Ciubotaru，F4型分裂群的Iwahori球面酉对偶，Represent。Theory 9（2005），94-137），这项工作完成了Whittaker Iwahori球面酉对偶的分类，或者等价地，任何分裂p-adic群的球面酉对偶。
Abstract This paper gives the classification of the Whittaker unitary dual for affine graded Hecke algebras of type E. By the Iwahori–Matsumoto involution, this is also equivalent to the classification of the spherical unitary dual for type E. Together with some results of Barbasch and Moy (D. Barbasch and A. Moy, Unitary spherical spectrum for p-adic classical groups, Acta Appl. Math. 44 (1996), 3–37; D. Barbasch, The spherical unitary spectrum of split classical real and p-adic groups, Preprint (2006), math/0609828) and Ciubotaru (D. Ciubotaru, The Iwahori spherical unitary dual of the split group of type F4, Represent. Theory 9 (2005), 94–137), this work completes the classification of the Whittaker Iwahori-spherical unitary dual or, equivalently, the spherical unitary dual of any split p-adic group.