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Lie groups and invariant theory
November 3, 2021 17:00, Moscow, Zoom


Rigidity of homomorphisms of algebraic groups

M. Brion

Université Grenoble Alpes


https://youtu.be/-56n9vAno8I

Abstract: Let $G$ be a linearly reductive algebraic group and $H$ an algebraic group, both over an algebraically closed field $k$. We will show the existence a parameter space $M$ for homomorphisms from $G$ to $H$. The action of $H$ on itself by conjugation induces an action on $M$, for which we will show that each orbit is open. This gives back a result of Vinberg and Margaux: the set of $H$-orbits in $M$ is unchanged when $k$ is replaced with an algebraically closed field extension.

Language: English


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