Flag manifolds.

Affine algebraic groups.

Quantum groups.

Schur complement.

Kazhdan-Lusztig polynomials.

Algebra, Homological.

Nonassociative rings and algebras > Lie algebras and Lie superalgebras {For Lie groups, see 22Exx} > Quantum groups (quantized enveloping algebras) and related deformations [See also 16T20, 20G42, 8.

Group theory and generalizations > Linear algebraic groups and related topics {For arithmetic theory, see 11E57, 11H56; for geometric theory, see 14Lxx, 22Exx; for other methods in representation the.

Algebraic geometry > (Co)homology theory [See also 13Dxx] > Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies)