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Examples of reductive p-adic groups representations

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#representation-theory #p-adic-number-theory #reductive-groups
39
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The relative weights form a basis of $\mathfrak a_P^{G \ast}$

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#algebraic-number-theory #lie-groups #root-systems #reductive-groups
187
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Definition of functions in the induced space from parabolic induction

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#representation-theory #algebraic-number-theory #p-adic-number-theory #reductive-groups
72
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Group extension of $G$ by $\mathbb{G}_m$ and the Picard group.

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#algebraic-geometry #algebraic-groups #reductive-groups
404
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When does an element lie in a Levi subgroup?

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#group-theory #lie-groups #algebraic-groups #reductive-groups
70
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Bruhat-Tits theory: how does the normalizer act on an apartment?

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#algebraic-number-theory #algebraic-groups #reductive-groups #bruhat-tits-theory
93
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Jordan normal form in a reductive group

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#lie-groups #lie-algebras #algebraic-groups #jordan-normal-form #reductive-groups
301
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A Reductive Lie group whose commutator is not closed?

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#lie-groups #lie-algebras #reductive-groups
115
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"Integrating" a positive definite Hermitian form over a reductive complex Lie group (instead of a compact real Lie group)

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#lie-groups #algebraic-groups #reductive-groups
85
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Why are unitary groups ramified at half the places?

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#group-theory #number-theory #algebraic-number-theory #local-field #reductive-groups
31
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A bible for local and global unitary groups

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#group-theory #reference-request #reductive-groups
418
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Iwasawa and Cartan decomposition of $p$-adic classical groups

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#lie-groups #p-adic-number-theory #reductive-groups
85
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Coefficients of irreducible supercuspidal representation

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#representation-theory #algebraic-number-theory #p-adic-number-theory #reductive-groups
140
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Order two unramified character of $\mathrm{SO}_{2n+1}(F)$

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#algebraic-geometry #representation-theory #p-adic-number-theory #algebraic-groups #reductive-groups
206
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Action of the absolute Galois group on the based root datum

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#algebraic-number-theory #algebraic-groups #root-systems #reductive-groups #langlands-program

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