Formal GNS Construction and States in Deformation Quantization

Real and Complex Analysis.

G. A. Garreau, Walter Rudin · Journal of the Royal Statistical Society Series D (The Statistician) · 1987 · 11K citations

Natural Sciences, Mathematics, Probability Theory +16

The quantum structure of spacetime at the Planck scale and quantum fields

Sergio Doplicher, Klaus Fredenhagen, John E. Roberts · Communications in Mathematical Physics · 1995 · 1.4K citations · Full text

Natural Sciences, Physics, Cosmology +15

Basic Algebra I.

Andy R. Magid, Nathan Jacobson · American Mathematical Monthly · 1986 · 842 citations

A simple geometrical construction of deformation quantization

Boris Fedosov · Journal of Differential Geometry · 1994 · 791 citations · Full text

Natural Sciences, Mathematics, Geometry +14

Existence of star-products and of formal deformations of the Poisson Lie algebra of arbitrary symplectic manifolds

Marc de Wilde, Pierre Lecomte · Letters in Mathematical Physics · 1983 · 415 citations

Natural Sciences, Mathematics, Algebra +15