Cluster structures on quantum coordinate rings

Cluster algebras I: Foundations

Sergey Fomin, Andrei Zelevinsky · Journal of the American Mathematical Society · 2001 · 1.7K citations · Full text

Cluster Algebra, Abstract Algebra, Algebraic Structure +8

On crystal bases of the Q-analogue of universal enveloping algebras

Masaki Kashiwara · Duke Mathematical Journal · 1991 · 1.2K citations

Abstract Algebra, Representation Theory, Modern Algebra +4

Hall algebras and quantum groups

Claus Michael Ringel · Inventiones mathematicae · 1990 · 569 citations

Quantum Science, Hall Algebras, Quantum Groups +6

Cluster algebras III: Upper bounds and double Bruhat cells

Arkady Berenstein, Sergey Fomin, Andrei Zelevinsky · Duke Mathematical Journal · 2005 · 551 citations

Mathematical Programming, Cluster Algebra, Abstract Algebra +8

Quivers, perverse sheaves, and quantized enveloping algebras

G. Lusztig · Journal of the American Mathematical Society · 1991 · 428 citations

Modern Algebra, Algebraic Graph Theory, Quantum Algebra +6