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Results tagged with principal-series-representations
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user 3891
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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 …
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