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Irreducible modular representations of $\mathrm{GL}_2$ of a local field
L. Barthel and R. Livné
Source: Duke Math. J. Volume 75, Number 2
(1994), 261-292.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077287613
Mathematical Reviews number (MathSciNet): MR1290194
Zentralblatt MATH identifier: 0826.22019
Digital Object Identifier: doi:10.1215/S0012-7094-94-07508-X
References
[BL] L. Barthel and R. Livné, Modular representations of $\mathrmGL_2$ of a local field: the ordinary, unramified case, to appear in J. Number Theory.
Mathematical Reviews (MathSciNet): MR1361556
Zentralblatt MATH: 0841.11026
Digital Object Identifier: doi:10.1006/jnth.1995.1124
[BZ] I. N. Bernšteĭ n and A. V. Zelevinskiĭ, Representations of the group $GL(n,F),$ where $F$ is a local non-Archimedean field, Uspehi Mat. Nauk 31 (1976), no. 3(189), 5–70.
Mathematical Reviews (MathSciNet): MR54:12988
[Se1] J.-P. Serre, Linear representations of finite groups, Springer-Verlag, New York, 1977.
Mathematical Reviews (MathSciNet): MR56:8675
Zentralblatt MATH: 0355.20006
[Se2] J.-P. Serre, Arbres, amalgames, $\rm SL\sb2$, Astérisque, vol. 46, Société Mathématique de France, Paris, 1977.
Mathematical Reviews (MathSciNet): MR57:16426
Zentralblatt MATH: 0369.20013
[Sr] B. Srinivasan, On the modular characters of the special linear group $SL(2,\,p\spn)$, Proc. London Math. Soc. (3) 14 (1964), 101–114.
Mathematical Reviews (MathSciNet): MR27:5832
Zentralblatt MATH: 0118.03803
Digital Object Identifier: doi:10.1112/plms/s3-14.1.101
[Te] J. Teitelbaum, Modular representations of $\rm PGL\sb 2$ and automorphic forms for Shimura curves, Invent. Math. 113 (1993), no. 3, 561–580.
Mathematical Reviews (MathSciNet): MR94h:11049
Zentralblatt MATH: 0806.11027
Digital Object Identifier: doi:10.1007/BF01244318
[Vi] M.-F. Vignéras, Représentations modulaires de $\rm GL(2,F)$ en caractéristique $l,\;F$ corps $p$-adique, $p\neq l$, Compositio Math. 72 (1989), no. 1, 33–66.
Mathematical Reviews (MathSciNet): MR90k:22029
Zentralblatt MATH: 0706.22014
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