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- W2970375991 abstract "We lay the foundations for a model theoretic study of proalgebraic groups. Our axiomatization is based on the tannakian philosophy. Through a tensor analog of skeletal categories we are able to consider neutral tannakian categories with a fibre functor as many-sorted first order structures. The class of diagonalizable proalgebraic groups is analyzed in detail. We show that the theory of a diagonalizable proalgebraic group $G$ is determined by the theory of the base field and the theory of the character group of $G$. Some initial steps towards a comprehensive study of types are also made." @default.
- W2970375991 created "2019-09-05" @default.
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- W2970375991 date "2019-08-27" @default.
- W2970375991 modified "2023-09-27" @default.
- W2970375991 title "Model Theory of Proalgebraic Groups." @default.
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