Yang-Mills and some related algebras

Abstract

After a short introduction on the theory of homogeneous algebras we describe the application of this theory to the analysis of the cubic Yang-Mills algebra, the quadratic self-duality algebras, their "super" versions as well as to some generalization.

15 pages. Contribution to the Proceedings of Rigorous Quantum Field Theory in the honour of Jacques Bros

References in corpus (2)

• Homogeneous algebras
• Moduli space and structure of noncommutative 3-spheres

Cited by in corpus (6)

• Representation theory of super Yang-Mills algebras
• Tensor product of N-complexes and generalization of graded differential algebras
• Non commutative finite dimensional manifolds II. Moduli space and structure of non commutative 3-spheres
• Multilinear forms and graded algebras
• Lectures on Noncommutative Geometry
• Graded algebras and multilinear forms