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Results tagged with rt.representation-theory
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user 102390
Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.
5
votes
Accepted
Tannakian duality and the equivalence of $\alpha_p$- and $\mathbb{Z}/p\mathbb{Z}$-representa...
$\newcommand{\Z}{\mathbf{Z}}\DeclareMathOperator{\spec}{Spec}\DeclareMathOperator{\Rep}{Rep} \DeclareMathOperator{\QCoh}{QCoh}$The Cartier dual of $\alpha_p$ is itself, while the Cartier dual to $\Z/p …
- 5,760
4
votes
Tannakian criterion for reducedness of Tannakian dual group
Yes, and one could argue as follows, at least if the group scheme is assumed to be of finite type (so it is an algebraic group), and the base field is perfect. Recall that if $k$ is a field of charact …
- 5,760
2
votes
Stabilizers of the action of Levi on abelianization of nilpotent radical
I don't know the answer to your questions in this generality, but let me mention a rich class of examples. Let $P$ be the maximal parabolic corresponding to the highest root of $G$, and let $V = V_U$ …
- 5,760