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Tempered Symplectic Distinction For Quaternionic $GL_n(D)$: A Conjecture of PRASAD TPYRE2ARMD

URIm2://res/TPYRE2ARMD
Kindpreprint
CreatorsMahendra Kumar Verma
Date2026-10-04
MSC20-XX, 22-XX, 11-XX
Subjectsarxiv math.RT, arxiv math.NT
Scopein

Expressions

e1: version, preprint

Languageen
Date2026-10-04
IdsarXiv 2610.05364

Items in this resource

The mentions of the inventory that name this resource. Each name links to the card of its inventory row.

ItemKindWhereSource
292EX9M7N2statementtheorem 1.1arxiv
Tempered distinction for $G_5$statementtheorem 5.7arxiv
5CWMZSEZ6Ystatementlemma 3.4arxiv
Two-block Jacquet modulestatementlemma 2.1arxiv
Existence of the elementary blocksstatementtheorem 5.2arxiv
General conversestatementtheorem 6.9arxiv
Prasad's revised tempered distinction conjecture: block formconjectureconjecture 4.1arxiv
Distinguished cuspidal supportstatementproposition 6.4arxiv
Good orbit $\Longleftrightarrow$ combinatorially good datastatementcorollary 2.7arxiv
Closed-orbit exclusion on a distinguished linestatementlemma 6.5arxiv
Prasad's discrete-series conjectureconjectureconjecture 3.1arxiv
Rank reductionstatementtheorem 6.7arxiv
Good orbitdefinitiondefinition 2.2arxiv
Jacquet module of the maximal factorstatementlemma 6.1arxiv
K6SZFF5Z6Zstatementproposition 4.4arxiv
Rank reduction for an elementary blockstatementcorollary 6.8arxiv
Tempered distinction: parameter formconjectureconjecture 4.3arxiv
Elementary tempered blocksdefinitiondefinition 3.3arxiv
Closed-orbit pairing criterionstatementlemma 5.1arxiv
Combinatorially good segment datadefinitiondefinition 2.6arxiv
The contributing orbitstatementproposition 6.6arxiv
Prasad's revised tempered conjecturestatementtheorem 6.10arxiv
The ``if'' direction of the tempered conjecturestatementcorollary 5.5arxiv
Discrete-series distinctionstatementtheorem 3.2arxiv
Representation-theoretic good-orbit criterionstatementproposition 2.5arxiv
Distinction forces a good orbitstatementlemma 2.3arxiv

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