Index

This index gives the section in which the term appears.

a-basal, 15.3

Admissible pair, 18.7

Ad-nilpotent, 5.5

Aﬃne denominator, 18.7

Aﬃne Weyl group, 18.3

translation subgroup of, 18.3

Aﬃnization, 18.2

Almost commutative algebra, 6.3

Alternative algebra, 4.3

Ambiguity, A.3

resolvability of, A.3

Annihilator of a module, 7.1

Annihilator prime, 7.4

Anticenter, 13.6

Antipode, A.2

Associated graded ring, 6.3

Associated Type A diagram, 3.4

Associator, 4.3

Augmentation map, A.2

Augmented algebra, 17.3

Auslander condition,

Auslander-Gorenstein,

Auslander regular, 17.6

b-dominant,

14.2

Bar resolution, 17.3

Basis of simple roots, 3.2, A.1

Bernstein number, 7.3

Bialgebra, A.2

Bimodule, 7.1

Noetherian, 7.1

Bimodule composition factors, series,

7.2

restricted, 7.4

Blocks, 8.2

Bond, 7.2

Borel subalgebra, 3.1

adjacent, 3.1

positive, 8.1

Bounded filtration, 16.2

BPS-subalgebra, 3.2

Braid equation, A.2

Braid group, 11.2

Bruhat order, 10.4.2

Canonical Cartan subalgebras, 5.2

Cartan matrix associated to a

basis B, 3.4

decomposable, symmetrizable

Cartan matrix, 5.2

Cartan subalgebra, 3.2

regular element of, 3.2

Casimir element, 8.5

Casimir operator, 18.4

Category O, 8.2

Catenary, 15.4

Cayley algebra, octonion algebra, 4.4

Central character, 8.2

Central simple algebra, central

simple graded algebra, A.3

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