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July 6, 2019 14:00–15:00, Workshop RUByS 2019, Symmetries in action at the Ruhr-Universität Bochum, Germany July 5-6 2019
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Simple algebras and invariants of linear actions
V. L. Popov |
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Abstract:
I shall discuss the following topics:
(1) Given an algebraic group $G$, let $V$ be a finite-dimensional algebraic $G$-module,
which admits a structure of a simple (not necessarily associative) algebra $A$ such
that $G=Aut (A)$. Then $V$ admits a close approximation to the analogue of classical invariant theory.
(2) What are the groups $G$ for which such a $V$ exists?
(3) Given $G$, what are the $G$-modules $V$ for which (1) holds?
Language: English
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