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15
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A question about the standard maximal compact subgroup of $GL(2,\mathbb{A}))$

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#adeles
83
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The explicit isomorphism $K \otimes_k k_v \cong \prod_{w / v} K_w$ (linked to Adele ring)

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#abstract-algebra #number-theory #adeles
70
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A certain decomposition of the idèles group of a global field

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#number-theory #algebraic-number-theory #class-field-theory #adeles
156
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Krull dimension of the adele ring

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#number-theory #commutative-algebra #algebraic-number-theory #krull-dimension #adeles
100
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Artin map and ideles

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#abstract-algebra #number-theory #algebraic-number-theory #class-field-theory #adeles
469
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Quotient of the Adele ring

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#number-theory #field-theory #algebraic-number-theory #adeles
194
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Subgroups of the general linear group over the adele ring

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#group-theory #number-theory #field-theory #algebraic-number-theory #adeles
205
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Why is the oldform map injective?

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#number-theory #modular-forms #automorphic-forms #adeles
47
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Finiteness of the volume $Z(\mathbb A) G(\mathbb Q) \backslash G(\mathbb A)$ for $G = \operatorname{GL}_2$

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#representation-theory #algebraic-groups #adeles
23
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How can the integral of the elliptic kernel $K_{\mathcal O}(x,x)$ over $Z(\mathbb A)G(F) \backslash G(\mathbb A)$ be written in the given form?

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#representation-theory #algebraic-groups #adeles
486
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Adeles for function fields

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#algebraic-number-theory #function-fields #adeles
610
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ring of adeles: ring of integers or valuation ring

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#number-theory #algebraic-number-theory #valuation-theory #local-field #adeles
258
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what does $L(s, \pi \times \chi)$ mean in analytic number theory?

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#analytic-number-theory #automorphic-forms #l-functions #adeles
58
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Idèles and reduction modulo $\mathfrak{m}$

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#abstract-algebra #number-theory #ring-theory #algebraic-number-theory #adeles
866
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Learning algebraic groups through examples

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#reference-request #algebraic-number-theory #algebraic-groups #adeles

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