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Abstract: In arXiv:math-0606241v2 M. Kontsevich and Y. Soibelman argue that thecategory of noncommutative thin schemes is equivalent to the category ofcoalgebras. We propose that under this correspondence the affine scheme of ak-algebra A is the dual coalgebra A^o and draw some consequences. Inparticular, we describe the dual coalgebra A^o of A in terms of the A-infinitystructure on the Yoneda-space of all the simple finite dimensionalA-representations.



Author: Lieven Le Bruyn

Source: https://arxiv.org/







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