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Cuspidal and Supercuspidal representation

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#representation-theory #algebraic-number-theory #p-adic-number-theory #algebraic-groups
193
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Independence of parabolic subgroup in parabolic induction and restriction?

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#abstract-algebra #representation-theory #algebraic-groups
99
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When is $SO(m,n)$ simple as a Lie group? What are the Zariski and Euclidean components?

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#group-theory #lie-groups #quadratic-forms #algebraic-groups #linear-groups
43
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Check if ρ is an equivalence relation

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#relations #algebraic-groups
35
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Dimension of projective homogenous G-varieties

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#abstract-algebra #algebraic-geometry #lie-groups #algebraic-groups
104
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Borel-Weil-Bott Theorem step

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#algebraic-geometry #algebraic-groups
145
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Definition of $\mathbb{F}_q$-rank of a torus?

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#algebraic-geometry #algebraic-groups
102
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Why is $G/H\to G/K$ proper and projective where $H\subseteq K\subseteq G$?

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#algebraic-geometry #algebraic-groups #homogeneous-spaces
742
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Is there a surjective group homomorphism $\operatorname{GL}_{n}(k) \to \operatorname{GL}_{m}(k)$ where $n > m$?

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#linear-algebra #abstract-algebra #group-theory #algebraic-groups #general-linear-group
200
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Action of $\text{Gal}(\overline{\mathbb{F}_q}/\mathbb{F}_q)$ on $X(T)$ permutes root system

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#abstract-algebra #algebraic-groups #root-systems
104
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complex reductive Lie group

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#reference-request #lie-groups #algebraic-groups
4.1k
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The Picard group of an Elliptic Curve

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#algebraic-geometry #algebraic-number-theory #algebraic-curves #elliptic-curves #algebraic-groups
124
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Gauss decomposition of an algebraic group.

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#algebraic-geometry #lie-groups #algebraic-groups #matrix-decomposition
76
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Where is it used that $R^G$ is finitely generated?

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#abstract-algebra #algebraic-geometry #commutative-algebra #algebraic-groups
212
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Definition for Shimura datum

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#algebraic-geometry #algebraic-number-theory #lie-algebras #algebraic-groups

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