On the supercuspidal representations of \(SL_ 2\) and its twofold cover. I, II. (English) Zbl 0507.22014


22E50 Representations of Lie and linear algebraic groups over local fields
22D30 Induced representations for locally compact groups
11F33 Congruences for modular and \(p\)-adic modular forms
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[1] [B] Blondel, C.: Construction des représentations supercuspidales des groupes métaplectiques sur GL(2). These 3ème cycle. Universite Paris VII (1981)
[2] [Bo] Borel, A.: Admissible representations of a semisimple group over a local field with vectors fixed under an Iwahori subgroup. Invent. Math.35, 233?259 (1976) · Zbl 0334.22012
[3] [C] Casselman, W.: On the representations of SL2(k) related to binary quadratic forms. Am. J. Math.94, 810?833 (1972) · Zbl 0259.22017
[4] [G] Gelbart, S.: Weil’s representation and the spectrum of the metaplectic group. Lecture Notes in Mathematics, Vol. 530. Berlin, Heidelberg, New York: Springer 1976 · Zbl 0365.22017
[5] [H] Hansen, K.: Restriction of the ramified supercuspidal representations of GL2(F) to GL2(O F ).F ap-field, Thesis, University of Iowa (1981)
[6] [J] Jacquet, H.: Sur les représentations des groups réductifsp-adiques. C.R. Acad. Sci. Paris280, 1271?1272 (1975)
[7] [K1] Kutzko, P.: On the supercuspidal representations ofGL 2. Am. J. Math.100, 43?60 (1978) · Zbl 0417.22012
[8] [K2] Kutzko, P.: On the supercuspidal representations ofGL 2,GL 3, andGL 5 (in preparation)
[9] [K3] Kutzko, P.: Mackey’s theorem for nonunitary representations. Proc. Am. Math. Soc.64, 173?175 (1977) · Zbl 0375.22005
[10] [KM] Kutzko, P., Manderscheid, D.: On the supercuspidal representations ofGL 4 (in preparation)
[11] [KS] Kutzko, P., Sally, P.: On the supercuspidal representations ofSL ? for ? prime, lecture by P. Sally, Park City Conf. on Reductive Groups (1982)
[12] [M] Manderscheid, D.: Supercuspidal duality for the two-fold cover ofSL(2) and the split ?(3). Thesis, Yale University (1981)
[13] [S] Shalika, J.: Representations of the two by two unimodular group over local fields. Inst. for Adv. Study 1965
[14] [Si1] Silberger, A.: PGL2 over thep-adies. Lecture Notes in Mathematics, Vol. 166. Berlin, Heidelberg, New York: Springer 1970
[15] [Si2] Silberger, A.: Introduction to harmonic analysis on reductivep-adic groups. Princeton Math. Notes23 1979
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