Amelia Álvarez

2 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.AG2009

A Characterization of Linearly Semisimple Groups

Amelia Álvarez, Carlos Sancho, Pedro Sancho

Let $G = S p ec A$ be an affine $K$ -group scheme and $A ~ = {w \in A * : d i m_{K} A^{*} \cdot w \cdot A^{*} < \infty}$ . Let $< -,-> : A^* \times \tilde{A} \to K, (w,\tilde{w}) := tr(…

math.AG2006

Invariant integral on classical groups and algebraic harmonic analysis

Amelia Alvarez, Carlos Sancho, Pedro Sancho

Let $G = Spec A$ be a linearly reductive group and let $w_{G} \in A^{*}$ be the invariant integral on $G$ . We establish the harmonic analysis on $G$ and we compute $w_{G}$ when $G=Sl_…

math.AG2006★ 2 cited

Reynolds Operator on functors

Amelia Alvarez, Carlos Sancho, Pedro Sancho

Let $G = Spec A$ be an affine $R$ -monoid scheme. We prove that the category of dual functors (over the category of commutative $R$ -algebras) of $G$ -modules is equivalent to th…