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We study the C*-algebra of an affine map on a compact abelian group and give necessary and sufficient conditions for strong transitivity when the group is a torus. The structure of the C*-algebra is c...
We establish a correspondence between Young diagrams and differential operators of infinitely many variables. These operators form a commutative associative algebra isomorphic to the algebra of the co...
We give an abstract construction, based on the Belavin-Polyakov-Zamolodchikov equations, of a family of vertex operator algebras of rank 26 associated to the modified regular representations of the V...
In this paper, we quantize universal gauge groups such as SU(∞), as well as their homogeneous spaces, in the -C-algebra setting.
The N = 4, d = 4 Yang–Mills conformal supersymmetry exhibits a very simple sub-sector adescribed by four differential operators. The invariance under this subalgebra is big enough to determine the N =...
In this article, we study the moonshine vertex operator algebra starting with the tensor product of three copies of the vertex operator algebra V + √2E8 , and describe it by the quadratic space over...

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