A Characterization of Linearly Semisimple Groups

Autor:	Álvarez, Amelia, Sancho, Carlos, Sancho, Pedro
Rok vydání:	2009
Předmět:	Mathematics - Algebraic Geometry
Druh dokumentu:	Working Paper
Popis:	Let $G = Spec A$ be an affine $K$-group scheme and $\tilde{A} = \{w \in A*: dim_K A^* \cdot w \cdot A^* < \infty \}$. Let $< -,-> : A^* \times \tilde{A} \to K, (w,\tilde{w}) := tr(w \tilde{w})$, be the trace form. We prove that $G$ is linearly reductive if and only if the trace form is non-degenerate on $A^*$.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0908.4482 Zobrazit plný text záznamu View this record from Arxiv