Motivic nature of character values of depth-zero representations
表示论
2007-05-23 v1
摘要
It is shown that the values of Harish-Chandra distribution characters on definable compact subsets of the set of topologically unipotent elements of symplectic or special orthogonal p-adic groups can be expressed as the trace of Frobenius action on virtual Chow motives. The result is restricted to a class of depth-zero representations that can be obtained by inflation from Deligne-Lusztig representations. The proof relies on arithmetic motivic integration.
引用
@article{arxiv.math/0403529,
title = {Motivic nature of character values of depth-zero representations},
author = {Julia Gordon},
journal= {arXiv preprint arXiv:math/0403529},
year = {2007}
}