Abbreviations
- F :
-
is ap-adic field
- R :
-
its ring of integers
- q :
-
the order of the residue field
References
Bernstein, J.N., Zelevinsky, A.V.: Representations of the groupGL(n, F) whereF is a nonarchimedean local field. Usp. Mat. Nauk.31, 5–70 (1976)
Borel, A.: Admissible representations of a semi-simple group over a local field with vectors fixed under Iwahori subgroup. Invent. Math.35, 233–260 (1976)
Humphreys, J.E.: Introduction to Lie algebras and representation theory. Graduated Texts in Mathematics 9. Berlin, Heidelberg, New York: Springer 1972
Iwahori, N., Matsumoto, H.: On some Bruhat decomposition and the structure of the Hecke algebra ofp-adic Chevalley groups. Publ. Math. IHES25, 237–280 (1965)
Kazhdan, D.A., Patterson, S.J.: Metaplectic forms. Publ. Math. IHES59, 35–142 (1984)
Lusztig, G.: Square integrable representations. Trans. Am. Math. Soc.277, 623–654 (1983)
Steinberg, R.: Lectures on Chevalley groups. Lecture Notes, Yale Math. Dept., 1968
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Savin, G. Local shimura correspondence. Math. Ann. 280, 185–190 (1988). https://doi.org/10.1007/BF01456050
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DOI: https://doi.org/10.1007/BF01456050