Basic properties of generalized down–up algebras

The diamond lemma for ring theory

George M. Bergman · Advances in Mathematics · 1978 · 1.1K citations

Ring Theory, Commutative Algebra, Diamond Lemma

Graded algebras of global dimension 3

Michael Artin, William Schelter · Advances in Mathematics · 1987 · 573 citations

Schubert Calculus, Universal Algebra, Global Dimension 3 +1

Gauge theories, vertex models, and quantum groups

Edward Witten · Nuclear Physics B · 1990 · 277 citations

Quantum Groups, Quantum Field Theory, Vertex Models +3

Down–Up Algebras

Georgia Benkart, Tom Roby · Journal of Algebra · 1998 · 152 citations

A Class of Algebras Similar to the Enveloping Algebra of sl(2)

S. Paul Smith · Transactions of the American Mathematical Society · 1990 · 115 citations

Abstract Algebra, Representation Theory, Different F +10