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Algebraic varieties with group operations given by morphisms, or group objects in the category of algebraic varieties, the category of algebraic schemes, or closely related categories.

8 votes
1 answer
1k views

Wonderful compactification

Suppose $G$ is a semi-simple group of adjoint type over an algebraic closed field, and $X$ its wonderful compactification a la De Concini and Procesi. Let $P=MU$ be a parabolic subgroup in $G$, and le …
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8 votes
Accepted

Double coset spaces of reductive groups and integral representations of L-functions

This is a very nice question! All of your examples are spherical quotients. Please take a look at Sakellaridis - Spherical varieties and integral representations of $L$-functions and Yiannis' other pa …
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