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Compactly supported modulo the center implies convergence over the unipotent radical

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#representation-theory #reductive-groups
121
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Kirillov model: integral vanishes for some $n$, or for all large $n$?

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#number-theory #representation-theory #reductive-groups
78
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Integral converges "$UZg$ is closed in $G$"

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#number-theory #representation-theory #locally-compact-groups #reductive-groups
152
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Contragredient of a cuspidal representation

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#representation-theory #locally-compact-groups #reductive-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
1k
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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
91
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Exactness of the functor $(\quad)^G$ for $G=k^\times$

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#exact-sequence #linear-groups #reductive-groups
57
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Proving that for a reductive group $G$, $GV_r$ is closed

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#algebraic-geometry #algebraic-groups #reductive-groups
124
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Unramified principal series and basis for $I(\chi)^B$

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#representation-theory #algebraic-groups #reductive-groups
172
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Irreducible admissible representation of a minimal parabolic is finite dimensional

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#representation-theory #algebraic-groups #reductive-groups
76
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Definition of the Hilbert space $L^2(G/Z,\nu)$

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#measure-theory #representation-theory #lp-spaces #topological-groups #reductive-groups
122
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Bernstein-Zelevinsky classification: viewing a representation as a subrepresentation or a quotient

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#representation-theory #reductive-groups
62
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Image of the Harish-Chandra map is of finite index?

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#algebraic-groups #reductive-groups
318
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Split component is the identity component of the intersection of the kernels of the roots

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#algebraic-groups #reductive-groups

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