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Representation of algebraic groups

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#representation-theory #algebraic-groups
832
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Coordinate ring of a scheme in functorial algebraic geometry

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#algebraic-geometry #ring-theory #category-theory #schemes #algebraic-groups
74
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Elementary question in reductive group

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#algebraic-groups #reductive-groups
71
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Let $\text{T} = \mathbb{Q}(i)^\times/\mathbb{Q}^\times$ compute $\text{T}(\mathbb{A})/\text{T}(\mathbb{Q})$

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#number-theory #algebraic-groups #locally-compact-groups #adeles
722
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Why is split algebraic group quasi-split?

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#algebraic-geometry #algebraic-groups
127
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Stability under conjugation of a subvector space of Lie algebra of an affine linear algebraic group (in positive characteristic)

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#lie-groups #algebraic-groups #matrix-exponential #positive-characteristic
301
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Strong approximation and class number in the adelic setting

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#algebraic-number-theory #algebraic-groups #adeles
871
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Does connected components of a group scheme form a group scheme?

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#general-topology #algebraic-geometry #algebraic-groups
125
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Intuition behind exact sequences as extensions in algebraic geometry

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#algebraic-geometry #soft-question #algebraic-groups #exact-sequence #abelian-categories
112
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Comparing the relative and absolute Bruhat decompositions for quasi-split reductive groups

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#algebraic-groups #reductive-groups
82
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If $\exp(X) \in G$, and $X$ is Hermitian, do we have $X \in \mathfrak g$?

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#differential-geometry #lie-groups #algebraic-groups
115
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Restriction of scalars $G \mapsto \operatorname{Res}_{\mathbb C/\mathbb R} G$ is injective?

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#algebraic-geometry #algebraic-groups
60
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Algebraic Groups, dual numbers and differentials

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#algebraic-groups #differential #tangent-bundle
82
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Character group of torus over the real numbers (Theorie de Hodge II)

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#reference-request #algebraic-groups #hodge-theory
50
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Surjectivity of Lang map

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#linear-algebra #field-theory #finite-fields #algebraic-groups

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