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Maximal tori in Lie vs algebraic groups

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#lie-groups #lie-algebras #algebraic-groups
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About algebraic groups defined over Q

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#algebraic-groups #automorphic-forms
242
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Exercise in Springer: Linear Algebraic Groups (1.4.8 (i) )

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#algebraic-geometry #sheaf-theory #algebraic-groups
450
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Direct product of algebraic groups is an algebraic group

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#abstract-algebra #group-theory #algebraic-geometry #algebraic-groups
975
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Identifying the cotangent bundle of the flag variety

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#algebraic-geometry #differential-geometry #representation-theory #lie-groups #algebraic-groups
53
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PGL_1(A) as a rational group.

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#algebraic-geometry #algebraic-groups
95
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How to visualize $\operatorname{Lie}(\operatorname{GL}_n)=\mathfrak{gl}_n$ in positive characteristic?

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#lie-algebras #algebraic-groups
1.3k
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Are unipotent algebraic groups connected?

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#algebraic-geometry #lie-groups #lie-algebras #algebraic-groups
125
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The map $x \mapsto gx$ gives a homeomorphism $G \rightarrow G$ for algebraic groups.

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#algebraic-geometry #algebraic-groups
537
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Reduction modulo p of a linear group over the rational numbers

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#abstract-algebra #algebraic-geometry #modular-arithmetic #finite-fields #algebraic-groups
117
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(stability-theoretic) ¨weakly normal groups" are closed under subgroups

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#model-theory #algebraic-groups #stability-theory
403
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nilpotent algebraic groups in terms of extensions

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#group-theory #algebraic-groups #nilpotence
163
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Are linear reductive algebraic groups closed under extensions?

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#group-theory #algebraic-groups
178
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Definition of an algebraic set being "defined over $k$" in terms of tensor product

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#algebraic-geometry #algebraic-groups
265
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Does there exist a non-quasi-split torus?

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#algebraic-geometry #representation-theory #algebraic-groups

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