INDEX 305
Schubert variations of Hodge structure, 228
semi-basic differential form, 174
Shimura curve, 222, 231, 232
Shimura varieties, 34
Siegel modular form, 178
Siegel’s generalized upper-half-plane Hg, 35
sign reversal of the curvature, 12
simple Hodge structure, 37
simple root, 56
special divisor, 192
splitting of a mixed Hodge structure, 246
standard representation of sl2, 19
strictness of a morphism, 32
structure theorem for a global variation of
Hodge structure, 46
sub-Hodge structure, 32
Tate Hodge structure, 33
Tate twist, 33
theta characteristic, 192
theta function, 24
theta-functions, 294
totally degenerate limit of discrete series
(TDLDS), 70
universal enveloping algebra, 70
universality, 104
variation of Hodge structure (VHS), 44
Vogan diagram, 59
W
(n)
k
, 211
weight decomposition, 31
weight filtration, 246
weight filtration associated to a nilpotent
linear transformation, 248
weight lattice, 19, 52
weight space, 56
weight vector, 19
weights, 19
Weil operator, 32
Weyl group, 19, 55
Williams lemma, 194
Z-connected, 237
Zuckerman module, 117
Zuckerman tensoring, 214
