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http://dx.doi.org/10.4134/BKMS.2006.43.4.821

DEGENERATE PRINCIPAL SERIES FOR EXCEPTIONAL p-ADIC GROUPS OF TYPE G2  

Choi, Seun-Gil (DEPARTMENT OF INDUSTRIAL INFORMATION, COLLEGE OF INDUSTRIAL SCIENCES, KONGJU NATIONAL UNIVERSITY)
Publication Information
Bulletin of the Korean Mathematical Society / v.43, no.4, 2006 , pp. 821-829 More about this Journal
Abstract
We determine reducibility points of degenerate principal series for exceptional p-adic groups of type $G_2$ via Jacquet module techniques and Hecke algebra isomorphisms.
Keywords
degenerate principal series; exceptional p-adic groups of type $G_2$;
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1 D. Barbasch, Reducibility of some spherical induced modules for $F_{4}$ (Note)
2 C. Bushnell and P. Kutzko, Smooth representations of reductive p-adic groups: structure theory via types, Proc. London Math. Soc. (3) 77 (1998), no. 3, 582-634
3 D. Ban and C. Jantzen, Degenerate Principal Series for even-orthogonal groups, Represent. Theory 7 (2003), 440–480   DOI
4 I. Bernstein and A. Zelevinsky, Induced representations of reductive p-adic groups. I., Ann. Sci. Ecole Norm. Sup. (4) 10 (1997), no. 4, 441–472
5 H. Jacquet, Representation des groupes lineaires p-adiques, Theory of group representations and Fourier Analysis, C. I. M. E. (1971), 119–220
6 M. Tadic, Notes on representations of non-archimedian SL(n), Pacific J. Math. 152 (1992), no. 2, 375–396   DOI
7 M. Tadic, On reducibility of parabolic induction, Israel J. Math. 107 (1998), 29–91
8 A. V. Zelevinsky, Induced representations of reductive p-adic groups. II. On irreducible representations of GL(n), Ann. Sci. Ecole Norm. Sup. (4) 13 (1980), no. 2, 165–210   DOI
9 C. Jantzen, Degenerate principal series for orthogonal groups, J. Reine Angew. Math. 441 (1993), 61–98
10 C. Jantzen, Degenerate principal series for symplectic groups, Mem. Amer. Math. Soc. 102 (1993), no. 488
11 C. Jantzen,, Degenerate principal series for symplectic and odd-orthogonal groups, Mem. Amer. Math. Soc. 124 (1996), no. 590
12 C. Jantzen and H. Kim, Parametrization of the image of normalized intertwining operators, Pacific J. Math. 199 (2001), no. 2, 367–415
13 G. Muic, The unitary dual of p-adic $G_{2}$, Duke Math. J. 90 (1997), no. 3, 465–493   DOI
14 A. Moy, Minimal K-types for $G_{2}$ over a p-adic field, Trans. Amer. Math. Soc. 305 (1988), no. 2, 517–529   DOI   ScienceOn
15 A. Roche, Types and Hecke algebras for principal series representations of split reductive p-adic groups, Ann. Sci. Ecole Norm. Sup. (4) 31 (1998), no. 3, 361–413   DOI