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math.QA2002★ 10 cited
Cyclic Cohomology, Quantum group Symmetries and the Local Index Formula for SUq(2)
Alain Connes
We analyse the noncommutative space underlying the quantum group SUq(2) from the spectral point of view which is the basis of noncommutative geometry, and show how the general theo…
math.QA2002★ 1 cited
Yang-Mills algebra
Alain Connes, Michel Dubois-Violette
Some unexpected properties of the cubic algebra generated by the covariant derivatives of a generic Yang-Mills connection over the (s+1)-dimensional pseudo Euclidean space are poin…
hep-th2002★ 66 cited
Insertion and Elimination: the doubly infinite Lie algebra of Feynman graphs
Alain Connes, Dirk Kreimer
The Lie algebra of Feynman graphs gives rise to two natural representations, acting as derivations on the commutative Hopf algebra of Feynman graphs, by creating or eliminating sub…