Matches in SemOpenAlex for { <https://semopenalex.org/work/W4297899021> ?p ?o ?g. }
Showing items 1 to 64 of
64
with 100 items per page.
- W4297899021 abstract "We consider the question of unicity of types on maximal compact subgroups for supercuspidal representations of $mathbf{SL}_2$ over a nonarchimedean local field of odd residual characteristic. We introduce the notion of an archetype as the $mathbf{SL}_2$-conjugacy class of a typical representation of a maximal compact subgroup, and go on to show that any archetype in $mathbf{SL}_2$ is restricted from one in $mathbf{GL}_2$. From this it follows that any archetype must be induced from a Bushnell--Kutzko type. Given a supercuspidal representation $pi$, we give an additional explicit description of the number of archetypes admitted by $pi$ in terms of its ramification. We also describe a relationship between archetypes for $mathbf{GL}_2$ and $mathbf{SL}_2$ in terms of $L$-packets, and deduce an inertial Langlands correspondence for $mathbf{SL}_2$." @default.
- W4297899021 created "2022-10-01" @default.
- W4297899021 creator A5025338734 @default.
- W4297899021 date "2014-12-08" @default.
- W4297899021 modified "2023-10-14" @default.
- W4297899021 title "Unicity of types for supercuspidal representations of p-adic SL(2)" @default.
- W4297899021 doi "https://doi.org/10.48550/arxiv.1412.2552" @default.
- W4297899021 hasPublicationYear "2014" @default.
- W4297899021 type Work @default.
- W4297899021 citedByCount "0" @default.
- W4297899021 crossrefType "posted-content" @default.
- W4297899021 hasAuthorship W4297899021A5025338734 @default.
- W4297899021 hasBestOaLocation W42978990211 @default.
- W4297899021 hasConcept C114614502 @default.
- W4297899021 hasConcept C138885662 @default.
- W4297899021 hasConcept C17744445 @default.
- W4297899021 hasConcept C18903297 @default.
- W4297899021 hasConcept C199539241 @default.
- W4297899021 hasConcept C202444582 @default.
- W4297899021 hasConcept C2524010 @default.
- W4297899021 hasConcept C27206212 @default.
- W4297899021 hasConcept C2776359362 @default.
- W4297899021 hasConcept C2777299769 @default.
- W4297899021 hasConcept C33923547 @default.
- W4297899021 hasConcept C49848784 @default.
- W4297899021 hasConcept C84583765 @default.
- W4297899021 hasConcept C86803240 @default.
- W4297899021 hasConcept C87945829 @default.
- W4297899021 hasConcept C94625758 @default.
- W4297899021 hasConcept C9652623 @default.
- W4297899021 hasConceptScore W4297899021C114614502 @default.
- W4297899021 hasConceptScore W4297899021C138885662 @default.
- W4297899021 hasConceptScore W4297899021C17744445 @default.
- W4297899021 hasConceptScore W4297899021C18903297 @default.
- W4297899021 hasConceptScore W4297899021C199539241 @default.
- W4297899021 hasConceptScore W4297899021C202444582 @default.
- W4297899021 hasConceptScore W4297899021C2524010 @default.
- W4297899021 hasConceptScore W4297899021C27206212 @default.
- W4297899021 hasConceptScore W4297899021C2776359362 @default.
- W4297899021 hasConceptScore W4297899021C2777299769 @default.
- W4297899021 hasConceptScore W4297899021C33923547 @default.
- W4297899021 hasConceptScore W4297899021C49848784 @default.
- W4297899021 hasConceptScore W4297899021C84583765 @default.
- W4297899021 hasConceptScore W4297899021C86803240 @default.
- W4297899021 hasConceptScore W4297899021C87945829 @default.
- W4297899021 hasConceptScore W4297899021C94625758 @default.
- W4297899021 hasConceptScore W4297899021C9652623 @default.
- W4297899021 hasLocation W42978990211 @default.
- W4297899021 hasLocation W42978990212 @default.
- W4297899021 hasOpenAccess W4297899021 @default.
- W4297899021 hasPrimaryLocation W42978990211 @default.
- W4297899021 hasRelatedWork W2004427275 @default.
- W4297899021 hasRelatedWork W2019004897 @default.
- W4297899021 hasRelatedWork W2060489837 @default.
- W4297899021 hasRelatedWork W2073925946 @default.
- W4297899021 hasRelatedWork W2091262374 @default.
- W4297899021 hasRelatedWork W2128030693 @default.
- W4297899021 hasRelatedWork W2149376139 @default.
- W4297899021 hasRelatedWork W2966199516 @default.
- W4297899021 hasRelatedWork W3015837531 @default.
- W4297899021 hasRelatedWork W3102075949 @default.
- W4297899021 isParatext "false" @default.
- W4297899021 isRetracted "false" @default.
- W4297899021 workType "article" @default.