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Extension of rational map from normal variety to algebraic group

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#algebraic-geometry #algebraic-groups
245
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$\operatorname{dim}V^G = \operatorname{dim}(V^\ast)^G$, or $G$ linearly reductive implies $V^G$ dual to $(V^\ast)^G$

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#linear-algebra #representation-theory #algebraic-groups #invariant-theory #reductive-groups
149
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On the right-invariance of the Reynolds Operator

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#algebraic-geometry #representation-theory #algebraic-groups #invariant-theory #reductive-groups
343
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Normalisers and connectedness of parabolic subgroups

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#group-theory #algebraic-geometry #algebraic-groups
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The derived group of a reductive connected group is semisimple

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#group-theory #algebraic-geometry #algebraic-groups #reductive-groups
51
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Conormal bundles in prime characteristic

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#algebraic-geometry #lie-algebras #algebraic-groups #moment-map
633
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Why is a $k$-group scheme the same things as a representable functor from the $k$-algebras?

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#algebraic-geometry #category-theory #algebraic-groups
62
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The subgroup of an algbraic group generated by two non-irreductible closed subsets need not to be closed

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#group-theory #algebraic-geometry #algebraic-groups
110
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Multiplicative group $\mathbb{G}_m$ is connected

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#algebraic-geometry #algebraic-groups
300
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Additive group $\mathbb{G}_a$ is not isomorphic to multiplicative group $\mathbb{G}_m$

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#group-theory #group-isomorphism #algebraic-groups
376
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Identity component of the normalizer is the centralizer

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#group-theory #algebraic-geometry #algebraic-groups
52
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Torsors over separable closure

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#algebraic-geometry #reference-request #algebraic-groups
158
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Cayley graph is normal

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#graph-theory #algebraic-groups #cayley-graphs
134
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The additive group $\mathbb{G}_a$ over an infinite field $k$ is not a topological group

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#algebraic-geometry #algebraic-groups
71
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understanding $G$-bundles via embedding in $GL_n$

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#algebraic-geometry #reference-request #vector-bundles #algebraic-groups

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