List questions from group-schemes

Published on 07 Apr 2021 - 21:27

155

Views

Lie operator is left exact

Published on 16 Apr 2021 - 3:37

256

Views

$k$-rational points of the automorphism functor of a scheme

Published on 17 Apr 2021 - 23:05

314

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GL(n) and PGL(n) as affine algebraic groups

Published on 28 Apr 2021 - 14:01

162

Views

Character group of diagonalizable group scheme

Published on 12 May 2021 - 3:03

55

Views

For an algebraic group $G$, a $G$-module induces a $Dist(G)$-module

Published on 03 Jun 2021 - 2:10

45

Views

If $G(k')$ is dense in a geometrically reduced group scheme $G$ then $G(k')$ is dense in $\vert G_{k'}\vert$.

Published on 03 Jun 2021 - 9:43

289

Views

How does a (finite) group act on a(n affine) scheme?

Published on 02 Aug 2021 - 20:23

294

Views

Are all finite schemes over a field flat?

Published on 03 Aug 2021 - 19:35

176

Views

Can we characterize a free action of a group scheme using $S$-points?

Published on 04 Aug 2021 - 21:13

428

Views

Levi subgroup and maximal torus of a Borel subgroup

Published on 10 Aug 2021 - 11:30

68

Views

Construct a grading from a left group scheme action (from Vakil's FOAG)

Published on 12 Aug 2021 - 2:29

199

Views

Deligne category $\underline{\mathrm{Rep}}(GL_t)$ is abelian

Published on 18 Aug 2021 - 13:21

584

Views

Criterion for a group scheme to be smooth

Published on 19 Aug 2021 - 2:46

123

Views

How to proof $X/G\times X/G\cong (X\times X)/(G\times G)$ for scheme X and finite subgroup scheme $G\subset X$?

Published on 19 Aug 2021 - 6:20

List Question

Why are linear schemes group schemes?

Lie operator is left exact

$k$-rational points of the automorphism functor of a scheme

GL(n) and PGL(n) as affine algebraic groups

Character group of diagonalizable group scheme

For an algebraic group $G$, a $G$-module induces a $Dist(G)$-module

If $G(k')$ is dense in a geometrically reduced group scheme $G$ then $G(k')$ is dense in $\vert G_{k'}\vert$.

How does a (finite) group act on a(n affine) scheme?

Are all finite schemes over a field flat?

Can we characterize a free action of a group scheme using $S$-points?

Levi subgroup and maximal torus of a Borel subgroup

Construct a grading from a left group scheme action (from Vakil's FOAG)

Deligne category $\underline{\mathrm{Rep}}(GL_t)$ is abelian

Criterion for a group scheme to be smooth

How to proof $X/G\times X/G\cong (X\times X)/(G\times G)$ for scheme X and finite subgroup scheme $G\subset X$?

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