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


MSC:

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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References:

[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)
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[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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