Index
admissible
(3, e)-module: I, 2.2, 10-11
(g, K)-module: 0, 2.4, 3
G-vector bundle: III, 7.2, 71
scalar product: II, 2.2, 33
smooth module: X, 1.3, 192-193
Bruhat-Tits building: X, 2.3, 197-198
Cartan involution: 0, 3.3, 5
Casimir element: II, 1.3, 31-32
central exponents: XI, 1.15, 215
C°° vectors: 0, 2.3, 3
coefficient of a representation: 0, 2.2, 2—3
chamber: X, 2.3, 197-198
cohomology
continuous: IX, 1.4, 171-172
Eilenberg-MacLane: IX, 1.4, 171-172
(Q,K): I, 5.1, 16
(fl,«,L): I, 6.2, 19-20
Lie algebra: I, 1.1, 7
relative Lie algebra: I, 1.2, 8
compatible systems of positive roots: II, 6.6,
44
cuspidal p-pair: III, 4.1, 66
dominating p-pair: 0, 3.4, 6
exponent of a representation: IV, 1.4, 76
Ext functors
Ext in C: IX, 1.5, 172
Ext in
CfG
(mixed case): XII, 2.3, 229-230
(t.d. group): X, 5.1, 205-206
Ext in Cg,e category: I, 2.1, 9-10
Ext in Cg,K category: I, 5.2, 16-17
Ext in C0,e,L category: I, 6.3, 20
Ext in (real Lie group): IX, 5.1, 180-
181
(t.d. group): X, 1.4, 192-193
(mixed case): XII, 1.7, 228
finite
G-finite vector: 0, 2.4, 3
^-finite vector: I, 2.2, 10-11
locally G-finite: 0, 2.4, 3
locally ^-finite module: I, 2.2, 10-11
finitely generated G-module: 0, 2.1, 2
finitely generated (g, fc)-module: I, 2.7, 13
fundamental Cartan subgroup: III, 4.1, 66
fundamental parabolic subgroup: III, 4.1, 66
Gindikin-Karpelevic formula: V, 4.5, 105-
107
Hausdorff cohomology: IX, 3.1, 177
Hecke algebra
of a product: XII, 2.2, 229
of a real reductive group: XII, 2.1, 229
of a t.d. group: X, 1.3, 191-192
Heisenberg group: VIII, 1.1, 151
Hochschild-Serre spectral sequence
in continuous cohomology: IX, 4.3, 180
in differentiable cohomology: IX, 5.8, 183-
184
in relative Lie algebra cohomology: I, 6.5,
21-22
idempotented algebra: X, 5.5, 206-207
induced representation
continuously induced: III, 7.10, 73
differentiably induced: III, 2.1, 61
inductive limit topology: X, 1.2, 191
infinitesimal character
of a (s, ZT)-module: 0, 2.5, 3-4
of ag-module: I, 2.2, 10-11
parametrization: III, 1.5, 61
infinitesimal equivalence: 0, 2.6, 4
Jacquet module: X, 3.2, 199-200
Kiinneth formula
in CQ for mixed groups: XII, 3.1,3.2, 230-
231
in continuous cohomology of p-adic group:
X, 6.1,6.2, 207-208
in Lie algebra cohomology: I, 1.3, 8
Langlands classification
(p-adic case): XI, 2.11, 217
(real case): IV, 4.10, 87
Langlands data
(p-adic case): XI, 2.9, 217
(real case): IV, 4.10, 87
Langlands parameter
(p-adic case): XI, 2.12, 218
(real case): IV, 4.2, 84
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