Noncommutative families of instantons

2010 
We construct �-deformations of the classical groups SL(2, H) and Sp(2). Coacting on a basic instanton on a noncommutative four-sphere S 4 � , we construct a noncommutative family of instantons of charge 1. The family is parametrized by the quantum quotient of SL�(2, H) by Sp � (2).
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