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International conference "Arithmetic as Geometry: Parshin Fest"
November 29, 2012 15:00, Moscow, Steklov Mathematical Institute of RAS


Simple algebras and the analogue of classical invariant theory for nonclassical groups

V. L. Popov

Steklov Mathematical Institute of the Russian Academy of Sciences



Abstract: Two topics will be discussed:
  • (1) If a $G$-module $V$ admits a structure of a simple algebra $A$ such that $G={\rm Aut}\,A$, then there is a close approximation to the analogue of classical invariant theory for $V$.
  • (2) What are the groups $G$ that appear in this way?


Language: English


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