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The C*-algebra of an affine map on the 3-torus
C*-algebra affine map 3-torus Operator Algebras
2012/4/17
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...
Algebra of differential operators associated with Young diagrams
Algebra of differential operators Young diagrams
2011/1/17
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...
Vertex operator algebras associated to modified regular representations of the Virasoro algebra
Vertex operator algebras modified regular representations Virasoro algebra
2011/2/28
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...
Operator algebra quantum homogeneous spaces of universal gauge groups
quantum groups quantum homogeneous spaces universal gauge
2011/3/1
In this paper, we quantize universal gauge groups such as SU(∞), as well as their homogeneous spaces, in the -C-algebra setting.
Four twisted differential operators for the N=4 superconformal algebra
Four twisted differential operators N=4 superconformal algebra
2010/12/16
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 =...
An $E_8$-approach to the moonshine vertex operator algebra
$E_8$-approach moonshine vertex operator algebra
2010/12/13
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...