Fusion categories arising from semisimple Lie algebras

Representations of Coxeter groups and Hecke algebras

David Kazhdan, G. Lusztig · Inventiones mathematicae · 1979 · 1.7K citations

Coxeter Group, Representation Theory, Algebraic Combinatorics +2

Quantum groups at roots of 1

G. Lusztig · Geometriae Dedicata · 1990 · 441 citations

Coxeter Group, Quantum Science, Engineering +4

The category of modules with good filtrations over a quasi-hereditary algebra has almost split sequences

Claus Michael Ringel · Mathematische Zeitschrift · 1991 · 389 citations

Abstract Algebra, Representation Theory, Modern Algebra +5

Kazhdan-Lusztig conjecture and holonomic systems

Jean-Luc Brylinski, Masaki Kashiwara · Inventiones mathematicae · 1981 · 385 citations

Mathematical Programming, Schubert Calculus, Representation Theory +3

Finite-dimensional Hopf algebras arising from quantized universal enveloping algebra

G. Lusztig · Journal of the American Mathematical Society · 1990 · 374 citations · Full text

Important Role, Hopf Algebra, Representation Theory +8