Question

Are local representations of an automorphic representation always infinite dimensional?

score 296 · Answer 1 · 2026-04-13 09:35:18

296

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Are local representations of an automorphic representation always infinite dimensional?

Published on 13 Apr 2026 - 9:35

score 317 · Answer 2 · 2026-05-10 12:32:40

317

Views

Iwasawa decomposition for $GL_n(\mathbb{A}_{\mathbb{Q}})$. What does $K$ look like?

Published on 10 May 2026 - 12:32

score 431 · Answer 3 · 2026-04-17 12:11:51

431

Views

Deligne-Lusztig theory and cuspidal representations of $\mathrm{GL}_{2}(\mathbb{F}_{q})$

Published on 17 Apr 2026 - 12:11

score 723 · Answer 4 · 2026-04-16 09:13:18

723

Views

Weight k Bianchi modular form?

Published on 16 Apr 2026 - 9:13

score 85 · Answer 5 · 2026-04-13 11:19:41

85

Views

Derivation of the hyperbolic Laplacian of weight $k$

Published on 13 Apr 2026 - 11:19

score 85 · Answer 6 · 2026-04-15 07:16:17

85

Views

Modular form that takes value $1$ at a particular cusp, but vanishes at the remaining cusps

Published on 15 Apr 2026 - 7:16

score 65 · Answer 7 · 2026-04-15 10:25:36

65

Views

Decompositon of the Space of Maass Forms

Published on 15 Apr 2026 - 10:25

score 30 · Answer 8 · 2026-04-13 17:01:08

30

Views

Is Ramanujan conjecture equivalent to $\operatorname{Tr}M_{p}(F_{\Pi})^{\dagger}M_{p}(F_{\Pi})=n$?

Published on 13 Apr 2026 - 17:01

score 102 · Answer 9 · 2026-04-13 19:07:32

102

Views

Automorphic Forms on $SL_{2}(\mathbb{R})$

Published on 13 Apr 2026 - 19:07

score 2.1k · Answer 10 · 2026-04-14 19:31:53

2.1k

Views

Invariance of measure on upper half plane

Published on 14 Apr 2026 - 19:31

score 753 · Answer 11 · 2026-04-12 17:07:01

753

Views

Why a modular form is a highest weight vector of a discrete series summand of $L_2(SL_2(\mathbb{Z})\backslash SL_2(\mathbb{R}))$?

Published on 12 Apr 2026 - 17:07

score 129 · Answer 12 · 2026-04-11 17:02:58

129

Views

Abstract Algebra: Automorphism and irreducible

Published on 11 Apr 2026 - 17:02

score 251 · Answer 13 · 2026-04-10 15:28:19

251

Views

How to prove that $\zeta*\zeta=\zeta$?

Published on 10 Apr 2026 - 15:28

score 167 · Answer 14 · 2026-04-16 12:30:04

167

Views

Whittaker models and local L-functions.

Published on 16 Apr 2026 - 12:30

score 133 · Answer 15 · 2026-04-11 03:46:12

133

Views

How to show that a representation is supercuspidal?

Published on 11 Apr 2026 - 3:46

List Question

Are local representations of an automorphic representation always infinite dimensional?

Iwasawa decomposition for $GL_n(\mathbb{A}_{\mathbb{Q}})$. What does $K$ look like?

Deligne-Lusztig theory and cuspidal representations of $\mathrm{GL}_{2}(\mathbb{F}_{q})$

Weight k Bianchi modular form?

Derivation of the hyperbolic Laplacian of weight $k$

Modular form that takes value $1$ at a particular cusp, but vanishes at the remaining cusps

Decompositon of the Space of Maass Forms

Is Ramanujan conjecture equivalent to $\operatorname{Tr}M_{p}(F_{\Pi})^{\dagger}M_{p}(F_{\Pi})=n$?

Automorphic Forms on $SL_{2}(\mathbb{R})$

Invariance of measure on upper half plane

Why a modular form is a highest weight vector of a discrete series summand of $L_2(SL_2(\mathbb{Z})\backslash SL_2(\mathbb{R}))$?

Abstract Algebra: Automorphism and irreducible

How to prove that $\zeta*\zeta=\zeta$?

Whittaker models and local L-functions.

How to show that a representation is supercuspidal?

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