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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/ …
unknown's user avatar
  • 647
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 $D^\times$ …
unknown's user avatar
  • 647
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 …
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  • 647