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Transactions of the American Mathematical Society

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Some examples of square integrable representations of semisimple $p$-adic groups

Author: George Lusztig
Journal: Trans. Amer. Math. Soc. 277 (1983), 623-653
MSC: Primary 22E50; Secondary 12B27, 20G05
MathSciNet review: 694380
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Abstract: We construct irreducible representations of the Hecke algebra of an affine Weyl group analogous to Kilmoyer’s reflection representation corresponding to finite Weyl groups, and we show that in many cases they correspond to a square integrable representation of a simple $p$-adic group.

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Article copyright: © Copyright 1983 American Mathematical Society