WHITTAKER FUNCTIONS FROM MOTIVIC CHERN CLASSES

نویسندگان

چکیده

We prove a motivic analogue of the Weyl character formula, computing Euler characteristic line bundle on generalized ag manifold G/B multiplied either by Chern class Schubert cell, or Segre it. The result, given in terms Demazure–Lusztig (D–L) operators, identifies an above to formula Brubaker, Bump and Licata for Iwahori–Whittaker functions principal series representation p-adic Langlands dual group. As corollary, we recover classical Casselman–Shalika spherical Whittaker function. proofs are based localization equivariant K-theory, require geometric interpretation how Hecke inverse D–L operator acts point. that operators give Grothendieck–Serre classes classes, result which might be independent interest. In Appendix jointly authored with Dave Anderson, show if is trivial, generalization Kostant, Macdonald, Shapiro Steinberg Poincaré polynomial G/B; consider due Aky?ld?z Carrell replaces any smooth variety.

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ژورنال

عنوان ژورنال: Transformation Groups

سال: 2022

ISSN: ['1531-586X', '1083-4362']

DOI: https://doi.org/10.1007/s00031-022-09731-x