| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4666770 | Advances in Mathematics | 2011 | 17 Pages |
Abstract
In this paper, we interpret the Gindikin–Karpelevich formula and the Casselman–Shalika formula as sums over Kashiwara–Lusztigʼs canonical bases, generalizing the results of Bump and Nakasuji (2010) [7], to arbitrary split reductive groups. We also rewrite formulas for spherical vectors and zonal spherical functions in terms of canonical bases. In a subsequent paper Kim and Lee (preprint) [14], we will generalize these formulas to p-adic affine Kac–Moody groups.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
