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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.

4 votes
1 answer
210 views

Why is the image of $G$ under a $B-$adapted homomorphism normal? (Question from Bruhat Tits ...

I posted this question on MSE earlier, however could not elicit a reply. I am not sure if this belongs here, if not, please flag it. Moreover, I am not sure what tags to put on it, so if this question …
4 votes
1 answer
379 views

Affine building for SL(n)

Following Garrett's book, we have the usual description of affine buildings of SL(n) in terms of homothety classes of lattices. So let $F$ be a local field, $\mathcal{O}$ be its ring of integers and $ …
2 votes

Reference request: expository text on the structure of reductive groups over non-archimedean...

A very nice exposition is given in I.G. Macdonalds Spherical functions on a group of p-adic type Another nice exposition is given in the section 3 of the these notes. Garret's book is perfect for le …
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