Index
This index contains mainly references to definitions and main results. In some
cases (such as "semisimplicity of [/-modules") you will be directed to subsections
containing results on the topic, but where the phrase from the index does not occur
explicitly in that form.
adjoint representation 4.18
admissible lattice
antipode
augmentation
braid group
braid relations
canonical basis
center of U
character formula
Clebsch-Gordan
formula
coassociative
cocommutative
comultiplication
counit
crystal base
crystal graph
divided powers
dominant short root
dual space of a
module
elementary move
fixed points
formal caharcters
fundamental weights
Gaussian binomial
coefficient
grading of U
Harish-Chandra
homomorphism
Hecke algebra
9.3
3.6/7, 3.8, 9.13
3.5
7.6, 8.15
7.6, 8.15
11.16
2.17, 2.10, 6.25
5.15
5A.8, 9.14
3.2
3.8
3.1/2, 3.8, 9.13
3.4/5, 3.8
9.4, 10.16
9.28
8.2, 8.6, 11.1
5A.2, 5A.9, 11.4
3.9, 5.3, 5.16
8.18
3.5
5A.8
4.1
0.1, 0.4, 8.1, 10.5
1.9, 4.7, 6.1
6.4, 6.6, 6.25
7.7
hexagon identities
Horn space of
modules
Hopf algebra
invariant form on U
isotypic component
Kostant's partition
function
largest short root
locally nilpotent
matrix coefficients
minuscule dominant
weights
modules of type 1
mod-Ti -invariant
pairing of U-° and
PBW type bases
polarization
quantized enveloping
algebra
3.18/19, 7.8
3.10, 5.3
3.8, 4.8, 4.11,
7.11
6.20
9.10
5.19
5A.2, 5A.9, 9.6,
9.21, 11.4
5.7
6.22, 7.10
5A.1, 5A.9, 9.6,
9.21 11.4
3.19', 5.2
9.20
6.12, 6.18,
8.28-30
1.5, 8.24
9.23, 10.16, 11.7
1.1, 4.3/4
quantum determinant 7.13
quantum trace
3.10, 5.3
quantum Yang-Baxter
equation
reduced expression
i?-matrices
3.17, 7.5/6
8.18
7.13, 8.30
265
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