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Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.
8
votes
1
answer
932
views
T-bundles and the Borel-Weil-Bott theorem
Hi,
Let $G$ be a reductive, connected group, $T$ a maximal torus, and $B$ a Borel subgroup containing $T$ with unipotent radical $U$. Then it turns out that the functions on the algebraic variety $G/ …
2
votes
0
answers
348
views
Galois action on the derived category of $l$-adic sheaves
Hi,
Suppose that $G$ is a group acting on a scheme $X$, and $F$ is an $l$-adic sheaf on $X$ EDIT: with an action of $G$ (thanks Torsten).
Is it true that $R\Gamma(X,F)$ is well-defined as an object o …
7
votes
1
answer
443
views
strong approximation and one-dimensional automorphic representations
Hi,
Let $D$ be a quaternion algebra over $\mathbf Q$ such that $D\otimes\mathbf R = M_2(\mathbf R)$.
Let $\pi = \pi_\infty \otimes_p \pi_p$ be an irreducible automorphic representation of $D^\times$ …