Matches in SemOpenAlex for { <https://semopenalex.org/work/W3137358410> ?p ?o ?g. }
Showing items 1 to 60 of
60
with 100 items per page.
- W3137358410 endingPage "971" @default.
- W3137358410 startingPage "959" @default.
- W3137358410 abstract "Abstract Let <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:msub> <m:mi mathvariant=script>O</m:mi> <m:mn>2</m:mn> </m:msub> </m:math> mathcal{O}_{2} and <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:msubsup> <m:mi mathvariant=script>O</m:mi> <m:mn>2</m:mn> <m:mo>′</m:mo> </m:msubsup> </m:math> mathcal{O}^{prime}_{2} be two distinct finite local rings of length two with residue field of characteristic 𝑝. Let <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:mrow> <m:mi mathvariant=double-struck>G</m:mi> <m:mo></m:mo> <m:mrow> <m:mo stretchy=false>(</m:mo> <m:msub> <m:mi mathvariant=script>O</m:mi> <m:mn>2</m:mn> </m:msub> <m:mo stretchy=false>)</m:mo> </m:mrow> </m:mrow> </m:math> mathbb{G}(mathcal{O}_{2}) and <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:mrow> <m:mi mathvariant=double-struck>G</m:mi> <m:mo></m:mo> <m:mrow> <m:mo stretchy=false>(</m:mo> <m:msubsup> <m:mi mathvariant=script>O</m:mi> <m:mn>2</m:mn> <m:mo>′</m:mo> </m:msubsup> <m:mo stretchy=false>)</m:mo> </m:mrow> </m:mrow> </m:math> mathbb{G}(mathcal{O}^{prime}_{2}) be the groups of points of any reductive group scheme 𝔾 over ℤ such that 𝑝 is very good for <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:mrow> <m:mi mathvariant=double-struck>G</m:mi> <m:mo>×</m:mo> <m:msub> <m:mi mathvariant=double-struck>F</m:mi> <m:mi>q</m:mi> </m:msub> </m:mrow> </m:math> mathbb{G}timesmathbb{F}_{q} or <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:mrow> <m:mi mathvariant=double-struck>G</m:mi> <m:mo>=</m:mo> <m:msub> <m:mi>GL</m:mi> <m:mi>n</m:mi> </m:msub> </m:mrow> </m:math> mathbb{G}=operatorname{GL}_{n} . We prove that there exists an isomorphism of group algebras <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:mrow> <m:mrow> <m:mi>K</m:mi> <m:mo></m:mo> <m:mi mathvariant=double-struck>G</m:mi> <m:mo></m:mo> <m:mrow> <m:mo stretchy=false>(</m:mo> <m:msub> <m:mi mathvariant=script>O</m:mi> <m:mn>2</m:mn> </m:msub> <m:mo stretchy=false>)</m:mo> </m:mrow> </m:mrow> <m:mo>≅</m:mo> <m:mrow> <m:mi>K</m:mi> <m:mo></m:mo> <m:mi mathvariant=double-struck>G</m:mi> <m:mo></m:mo> <m:mrow> <m:mo stretchy=false>(</m:mo> <m:msubsup> <m:mi mathvariant=script>O</m:mi> <m:mn>2</m:mn> <m:mo>′</m:mo> </m:msubsup> <m:mo stretchy=false>)</m:mo> </m:mrow> </m:mrow> </m:mrow> </m:math> Kmathbb{G}(mathcal{O}_{2})cong Kmathbb{G}(mathcal{O}^{prime}_{2}) , where 𝐾 is a sufficiently large field of characteristic different from 𝑝." @default.
- W3137358410 created "2021-03-29" @default.
- W3137358410 creator A5052676055 @default.
- W3137358410 date "2021-03-16" @default.
- W3137358410 modified "2023-09-24" @default.
- W3137358410 title "The ℓ-modular representation of reductive groups over finite local rings of length two" @default.
- W3137358410 cites W1529102600 @default.
- W3137358410 cites W1977575792 @default.
- W3137358410 cites W1985115796 @default.
- W3137358410 cites W2066240864 @default.
- W3137358410 cites W2492880023 @default.
- W3137358410 cites W2963782135 @default.
- W3137358410 cites W2964097220 @default.
- W3137358410 cites W2970449358 @default.
- W3137358410 cites W3086897168 @default.
- W3137358410 cites W4256284935 @default.
- W3137358410 cites W4297949298 @default.
- W3137358410 cites W651518753 @default.
- W3137358410 doi "https://doi.org/10.1515/jgth-2020-0148" @default.
- W3137358410 hasPublicationYear "2021" @default.
- W3137358410 type Work @default.
- W3137358410 sameAs 3137358410 @default.
- W3137358410 citedByCount "0" @default.
- W3137358410 crossrefType "journal-article" @default.
- W3137358410 hasAuthorship W3137358410A5052676055 @default.
- W3137358410 hasBestOaLocation W31373584101 @default.
- W3137358410 hasConcept C114614502 @default.
- W3137358410 hasConcept C121332964 @default.
- W3137358410 hasConcept C184992742 @default.
- W3137358410 hasConcept C185592680 @default.
- W3137358410 hasConcept C33923547 @default.
- W3137358410 hasConcept C8010536 @default.
- W3137358410 hasConceptScore W3137358410C114614502 @default.
- W3137358410 hasConceptScore W3137358410C121332964 @default.
- W3137358410 hasConceptScore W3137358410C184992742 @default.
- W3137358410 hasConceptScore W3137358410C185592680 @default.
- W3137358410 hasConceptScore W3137358410C33923547 @default.
- W3137358410 hasConceptScore W3137358410C8010536 @default.
- W3137358410 hasFunder F4320306076 @default.
- W3137358410 hasIssue "5" @default.
- W3137358410 hasLocation W31373584101 @default.
- W3137358410 hasOpenAccess W3137358410 @default.
- W3137358410 hasPrimaryLocation W31373584101 @default.
- W3137358410 hasRelatedWork W1978042415 @default.
- W3137358410 hasRelatedWork W1979843330 @default.
- W3137358410 hasRelatedWork W2017331178 @default.
- W3137358410 hasRelatedWork W2184427155 @default.
- W3137358410 hasRelatedWork W2185671459 @default.
- W3137358410 hasRelatedWork W2260035625 @default.
- W3137358410 hasRelatedWork W2404664685 @default.
- W3137358410 hasRelatedWork W2873272499 @default.
- W3137358410 hasRelatedWork W2964072617 @default.
- W3137358410 hasRelatedWork W2976797620 @default.
- W3137358410 hasVolume "24" @default.
- W3137358410 isParatext "false" @default.
- W3137358410 isRetracted "false" @default.
- W3137358410 magId "3137358410" @default.
- W3137358410 workType "article" @default.