Certain Examples of Deformed Preprojective Algebras and Geometry of Their *-representations

نویسنده

  • ANTON MELLIT
چکیده

We consider algebras eiΠ λ(Q)ei obtained from deformed preprojective algebra of affine type Π(Q) and an idempotent ei for certain concrete value of the vector λ which corresponds to the traces of −1 ∈ SU(2,C) in irreducible representations of finite subgroups of SU(2,C). We give a certain realization of these algebras which allows us to construct the C∗-enveloping algebras for them. Some well-known results, including description of four projections with sum 2 happen to be a particular case of this picture.

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تاریخ انتشار 2005