Research output: Contribution to Journal/Magazine › Journal article › peer-review
<mark>Journal publication date</mark> | 02/2004 |
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<mark>Journal</mark> | Journal of Geometry and Physics |
Issue number | 2 |
Volume | 49 |
Number of pages | 20 |
Pages (from-to) | 156-175 |
Publication Status | Published |
<mark>Original language</mark> | English |
A one parameter set of noncommutative complex algebras is given. These may be considered deformation quantisation algebras. The commutative limit of these algebras correspond to the algebra of polynomial functions over a manifold or variety. The topology of the manifold or variety depends on the parameter, varying from nothing, to a point, a sphere, a certain variety and finally a torus. The irreducible adjoint preserving representations of the noncommutative algebras are studied. As well as typical noncommutative sphere type representations and noncommutative torus type representations, a new object is discovered and called a sphere-torus.