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Elementary proof of Bruhat decomposition for $\mathrm{GL}_{n}$.

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#algebraic-groups
114
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Computing central isogenies of reductive groups

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#group-theory #algebraic-groups #reductive-groups
141
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What does Rosenlicht mean by a "point"?

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#algebraic-geometry #definition #algebraic-groups
238
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Invariant subspace in $K\otimes V$ is generated by invariant vectors?

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#abstract-algebra #vector-spaces #field-theory #algebraic-groups
480
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What is a faithful representation?

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#algebraic-geometry #category-theory #representation-theory #definition #algebraic-groups
235
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How are the intersections and quotients of algebraic groups defined?

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#algebraic-geometry #category-theory #definition #intuition #algebraic-groups
1k
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Quotients and exact sequences of algebraic group schemes

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#algebraic-geometry #algebraic-groups #arithmetic-geometry
451
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Affine Group Scheme Definition

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#algebraic-geometry #lie-groups #algebraic-groups #group-schemes
64
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Transcendence in $\mathbb{R}^2$

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#number-theory #algebraic-number-theory #algebraic-groups #change-of-basis #lattices-in-lie-groups
484
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What is the difference between using maximal ideals to define Zariski topology versus using prime ideals?

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#abstract-algebra #algebraic-geometry #algebraic-groups #zariski-topology
253
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Conjugacy Classes in $PSL_2(\mathbb{F}_p)$

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#group-theory #algebraic-groups #automorphism-group
744
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Question about linear algebraic groups split vs isotropic

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#algebraic-geometry #definition #lie-algebras #algebraic-groups
299
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Semisimple linear algebraic group

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#algebraic-geometry #representation-theory #lie-groups #algebraic-groups
473
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Notions of Fundamental Groups for semisimple algebraic groups

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#algebraic-geometry #algebraic-groups #fundamental-groups #root-systems #classical-groups
47
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Is the map $\bigsqcup_{w } \frac{BwP}{P} = \frac{GL_n(\mathbb{C})}{P} \to GL_n(\mathbb{C})$ via $bwP \mapsto bw$ a morphism of algebraic varieties?

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#algebraic-geometry #algebraic-groups #fiber-bundles

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