4
votes
Eigenvalue of Iwahori Hecke Algebra element for the Steinberg
Yes, it is the only one possible. Your relations are actually wrong - in 1) you should replace -1 by +1. Then in Steinberg every $X_{s_i}$ acts by -1 and 3) immediately implies that $X_{\rho}$ acts ...
- 7,037
4
votes
On $p$-adic Iwahori-spherical Whittaker functions
I'm afraid that this question has a disappointingly simple answer. Yes, the values of the Iwahori-spherical Whittaker functions have an interpretation as characters of representations; but they are ...
- 37k
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