10 May 2000.

Valentin Lychagin "Breaking of Commutativity and Assosiativity Laws through Quantizations".

We continue the discussion of quantizations. We consider the case of finite sets S, i.e. we quantize the corresponding function algebra F(S). The commutativity breaking leads to the Clifford algebras. Assosiativity breakdown leads to Anomalies. We consider the corresponding connection of the quantizations with the octonions and Cayley numbers.