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Results tagged with algebraic-groups
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user 69613
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.
3
votes
2
answers
355
views
degeneration of reductive group
If $A$ is a mixed characteristic complete DVR (I'm only actually interested in $\mathbf{Z}_p$) and $G/A$ is a closed subgroup scheme of $GL(n)$ whose generic fibre is connected reductive and split, is …
- 156k
1
vote
degeneration of reductive group
SGA3 XIX section 5 has a terrifying example of $PGL(2)$ degenerating into something solvable. Thanks to grghxy.
- 163
3
votes
2
answers
450
views
Representations of complex semi-simple algebraic group "defined over $\mathbf{Z}$"?
If $G$ is a split semisimple linear algebraic group over $\mathrm{Spec}(\mathbf{Z})$ then does every (algebraic) irrep of $G_{\mathbf{C}}$ extend to a morphism $G\to\mathrm{GL}_n$ over $\mathrm{Spec}( …
- 163