272:
195:
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54:. In Kottwitz's formulation, the Langlands group should be an extension of the Weil group by a compact group. When
95:
is still conjectural, though James Arthur gives a conjectural description of it. The
Langlands correspondence for
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Langlands, R. P. (1979-06-30), "Automorphic representations, Shimura varieties, and motives. Ein Märchen",
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20:
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Kottwitz, Robert (1984), "Stable trace formula: cuspidal tempered terms",
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and, in the global case, the cuspidal automorphic representations of GL
267:, Proc. Sympos. Pure Math., vol. 33, pp. 205–246,
99:
is a "natural" correspondence between the irreducible
46:, that satisfies properties similar to those of the
265:Automorphic forms, representations and L-functions
8:
188:"A note on the automorphic Langlands group"
238:
208:
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103:-dimensional complex representations of
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42:attached to each local or global field
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7:
80:is the product of the Weil group of
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196:Canadian Mathematical Bulletin
1:
249:10.1215/S0012-7094-84-05129-9
88:is global, the existence of
50:. It was given that name by
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73:is local non-archimedean,
18:
227:Duke Mathematical Journal
19:Not to be confused with
210:10.4153/CMB-2002-049-1
186:Arthur, James (2002),
58:is local archimedean,
65:is the Weil group of
26:In mathematics, the
21:Langlands dual group
16:Mathematical object
299:Langlands program
274:978-0-8218-1437-6
84:with SU(2). When
30:is a conjectural
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52:Robert Kottwitz
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28:Langlands group
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240:10.1.1.463.719
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134:denotes the
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180:References
48:Weil group
235:CiteSeerX
125:), where
293:Category
283:0546619
257:0757954
219:1941222
69:, when
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136:adeles
191:(PDF)
172:, §12
146:Notes
32:group
269:ISBN
245:doi
205:doi
138:of
295::
279:MR
277:,
253:MR
251:,
243:,
231:51
229:,
215:MR
213:,
201:45
199:,
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142:.
247::
207::
140:F
131:F
127:A
122:F
118:A
116:(
113:n
107:F
105:L
101:n
97:F
92:F
90:L
86:F
82:F
77:F
75:L
71:F
67:F
62:F
60:L
56:F
44:F
39:F
35:L
23:.
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