The restriction to SL 2 of a supercuspidal representation of GL 2

P. Kutzko; J. Pantoja

Compositio Mathematica (1991)

  • Volume: 79, Issue: 2, page 139-155
  • ISSN: 0010-437X

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Kutzko, P., and Pantoja, J.. "The restriction to $\mathrm {SL}_2$ of a supercuspidal representation of $\mathrm {GL}_ 2$." Compositio Mathematica 79.2 (1991): 139-155. <http://eudml.org/doc/90101>.

@article{Kutzko1991,
author = {Kutzko, P., Pantoja, J.},
journal = {Compositio Mathematica},
keywords = {restriction; p-adic field; local Langlands correspondence; Weil group; irreducible supercuspidal representations; Labesse-Langlands criterion},
language = {eng},
number = {2},
pages = {139-155},
publisher = {Kluwer Academic Publishers},
title = {The restriction to $\mathrm \{SL\}_2$ of a supercuspidal representation of $\mathrm \{GL\}_ 2$},
url = {http://eudml.org/doc/90101},
volume = {79},
year = {1991},
}

TY - JOUR
AU - Kutzko, P.
AU - Pantoja, J.
TI - The restriction to $\mathrm {SL}_2$ of a supercuspidal representation of $\mathrm {GL}_ 2$
JO - Compositio Mathematica
PY - 1991
PB - Kluwer Academic Publishers
VL - 79
IS - 2
SP - 139
EP - 155
LA - eng
KW - restriction; p-adic field; local Langlands correspondence; Weil group; irreducible supercuspidal representations; Labesse-Langlands criterion
UR - http://eudml.org/doc/90101
ER -

References

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  1. [B-F] C.J. Bushnell, A. Fröhlich, Nonabelian congruence Gauss sums and p-adic simple algebras, Proc. London Math. Soc. (3), 50 (1985), 207-264. Zbl0558.12007MR772712
  2. [C] H. Carayol, Représentations cuspidales du groupe linéaire, Ann. Sci. ENS17 (1984), 191-255. Zbl0549.22009MR760676
  3. [K1] P. Kutzko, On the supercuspidal representations of GL2, I, II, Amer. J. Math.100 (1978), 43-60, 705-716. Zbl0421.22012
  4. [K2] P. Kutzko, The exceptional representations of GL 2, Compositio Mathematica51 (1984), 3-14. Zbl0545.22018MR734781
  5. [K3] P. Kutzko, On the exceptional representations of GLN, Contemporary Math.86 (1989), 177-185. Zbl0683.22013MR987024
  6. [K-M] P. Kutzko and D. Manderscheid, On intertwining operators for GL N(F), F a nonarchimedean local field, Duke Math. J.57 (1988), 275-293. Zbl0665.22006MR952235
  7. [K-Sa] P. Kutzko and P. Sally, All supercuspidal representations of SL l over a p-adic field are induced. Representation Theory of Red. Groups, Proc. Univ. of Utah Conf. 1982, Birkhäuser. Zbl0538.22011
  8. [Ka] D. Kazhdan, On lifting, Lecture Notes in Math. 1041 (Springer, 1983). Zbl0538.20014MR748509
  9. [L-L] J.-P. Labesse and R.P. Langlands, L indistinguishability of SL(2), Can. Jour of Math.31 (1979), 726-785. Zbl0421.12014MR540902
  10. [P] J. Pantoja, Liftings of supercuspidal representations of GL2, Pac. J. Math.116 (1985), 307-351. Zbl0569.22011MR771638
  11. [S] J.P. Serre, Local Fields, Springer-Verlag, New York, 1979. Zbl0423.12016MR554237

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